******************************************************************************* ******************************************************************************* ********** *********** ********** "Establishment of *********** ********** the Direct Numerical Simulation Data Bases of *********** ********** Turbulent Transport Phenomena" *********** ********** *********** ********** Co-operative Research *********** ********** No. 02302043 *********** ********** *********** ********** Supported by the Ministry of Education, *********** ********** Science and Culture *********** ********** *********** ********** 1990 - 1992 *********** ********** *********** ********** *********** ********** *********** ********** *********** ********** N. Kasagi (Organizer) *********** ********** K. Horiuti, Y. Miyake, T. Miyauchi, Y. Nagano *********** ********** *********** ******************************************************************************* ******************************************************************************* +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++ << CAUTION >> +++++++++++ ++++++++++ +++++++++++ ++++++++++ All rights are reserved by the computors of each data +++++++++++ ++++++++++ base. No part of the data described herein may be +++++++++++ ++++++++++ represented or otherwise used in any form without fully +++++++++++ ++++++++++ referring to this data base and the literature cited at +++++++++++ ++++++++++ the end of the data base. The original data base will +++++++++++ ++++++++++ be revised without notice, whenever necessary. Future +++++++++++ ++++++++++ revisions will be notified to those who register by +++++++++++ ++++++++++ writing to Research Organizer: +++++++++++ ++++++++++ +++++++++++ ++++++++++ N. Kasagi +++++++++++ ++++++++++ Department of Mechanical Engineering +++++++++++ ++++++++++ The University of Tokyo +++++++++++ ++++++++++ Bunkyo-ku, Tokyo 113 +++++++++++ ++++++++++ Japan. +++++++++++ ++++++++++ +++++++++++ ++++++++++ December 1990 +++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ =================== this data base begins from this line ====================== Test Case: Fully Developed Plane Couette-Poiseuille Flow Code Number: PC12__PG.WL1 Date of Release: February 29, 1992 Date of Revision: June 30, 1993 Computors: A. Kuroda* and N. Kasagi Department of Mechanical Engineering The University of Tokyo Bunkyo-ku, Tokyo 113 *present address Department of Mechanical Engineering Hokkaido University Kita-ku, Sapporo 060 Nomenclature: delta = channel half width dP/dx = mean pressure gradient in flow (Uw) direction k = turbulent kinetic energy, u_i*u_i/2 k_x, k_z = streamwise and spanwise wave numbers nu = kinematic viscosity omega_y = vorticity component in the y-direction p = pressure R(ab) = correlation coefficient between a and b ro = density of the fluid Uw = moving wall velocity u, v, w = streamwise, wall-normal and spanwise velocity fluctuations u_tau_f = friction velocity on the fixed wall u_tau_m = friction velocity on the moving wall u_i = i-th component of velocity fluctuation x, y, z = streamwise, wall-normal, spanwise directions 1. Description of Flow Field The flow field simulated is a fully developed Couette-Poiseuille turbulent flow between two parallel walls. The flow condition is defined by the mean pressure gradient, the moving wall velocity and the distance between the walls (channel hight). So two independent parameters, Uw*delta/nu and -(delta/(ro*Uw**2))*(dP/dx) were imposed for computation in non-dimensional style. The flow is homogeneous both in the streamwise and spanwise directions and the statistics are dependent only upon the distance from the wall. The data presented here are non-dimensionalized by the wall variables, i.e., u_tau_f and nu. moving wall -->Uw ----------------------- dP/dx < 0 ----------------------- fixed wall Fig. Schematic picture of the flow field 2. Numerical Method Governing equations: a forth-order equation for v, a second-order equation for omega_y derived from the incompressible Navier-Stokes equations, and the continuity equation. Discretization method: spectral method = 128 x 128 Fourier series in the x- and z-directions, and Chebyshev polynomials up to the order 96 in the y- direction (Chebyshev-tau method). Aliasing treatment: nonlinear terms computed with collocation grids 1.5 times finer in each direction. Grid spacing: 0.123*delta and 0.491*delta in the x- and z- directions and (0.00054 to 0.033)*delta in the y-direction. Time integration: second order Adams-Bashforth scheme for the nonlinear terms and Crank-Nicolson scheme for the viscous terms. Size of computational box: 5*pai*delta x 2*delta x 2*pai*delta. Initial conditions: u', v' and u_mean given in accordance with the previous numerical results. Criterion for stationary state: linear profile of total stress and stationary behavior of mean velocity and second-order moments of the three velocity components at some distance from the wall. Length of time integration for ensemble averaging: about 330 delta/Uw after the fully developed state is reached. Error in continuity equation = Max [abs {div(roh*v)} ] : not applicable Courant number = Max [ delta-t * {abs(u_i/delta-x_i)} ] : < 0.3 Computer: HITAC-S820/80 at the Computer Center of the University of Tokyo. Computation time: about 4.0 sec CPU time per one time step. 3. Flow conditions Uw*delta/nu = 1800 (imposed) -(delta/(ro*Uw**2))*(dP/dx) = 4.34E-03 (imposed) u_tau_f*delta/nu = 148 (calculated) u_tau_m*delta/nu = 79.0 (calculated) 4. Numerical data 4.1 Turbulence statistics j y/delta u_mean u_rms v_rms w_rms p_rms 1 .000000E+00 .000000E+00 .287216E-06 .176770E-15 .114049E-14 .173072E+01 2 .535413E-03 .790437E-01 .298227E-01 .618072E-04 .171511E-01 .173009E+01 3 .214108E-02 .315924E+00 .119058E+00 .955464E-03 .666576E-01 .172843E+01 4 .481527E-02 .709849E+00 .267156E+00 .457069E-02 .143114E+00 .172642E+01 5 .855514E-02 .125918E+01 .473253E+00 .133657E-01 .238753E+00 .172514E+01 6 .133567E-01 .196030E+01 .734889E+00 .296141E-01 .344799E+00 .172606E+01 7 .192147E-01 .280497E+01 .104445E+01 .547916E-01 .452847E+00 .173088E+01 8 .261230E-01 .377599E+01 .138461E+01 .892993E-01 .556163E+00 .174127E+01 9 .340742E-01 .484307E+01 .172734E+01 .132549E+00 .650653E+00 .175851E+01 10 .430597E-01 .596262E+01 .204011E+01 .183280E+00 .735023E+00 .178315E+01 11 .530699E-01 .708359E+01 .229604E+01 .239909E+00 .809940E+00 .181485E+01 12 .640941E-01 .815773E+01 .248107E+01 .300750E+00 .876667E+00 .185240E+01 13 .761205E-01 .914870E+01 .259458E+01 .364088E+00 .936001E+00 .189377E+01 14 .891362E-01 .100363E+02 .264526E+01 .428199E+00 .988020E+00 .193639E+01 15 .103127E+00 .108153E+02 .264603E+01 .491404E+00 .103245E+01 .197748E+01 16 .118079E+00 .114906E+02 .261016E+01 .552169E+00 .106910E+01 .201448E+01 17 .133975E+00 .120729E+02 .254930E+01 .609193E+00 .109825E+01 .204548E+01 18 .150798E+00 .125749E+02 .247279E+01 .661480E+00 .112068E+01 .206929E+01 19 .168530E+00 .130089E+02 .238776E+01 .708388E+00 .113733E+01 .208529E+01 20 .187153E+00 .133865E+02 .229954E+01 .749624E+00 .114921E+01 .209337E+01 21 .206647E+00 .137175E+02 .221174E+01 .785185E+00 .115732E+01 .209371E+01 22 .226990E+00 .140105E+02 .212674E+01 .815288E+00 .116232E+01 .208697E+01 23 .248160E+00 .142727E+02 .204625E+01 .840251E+00 .116435E+01 .207400E+01 24 .270136E+00 .145098E+02 .197142E+01 .860408E+00 .116373E+01 .205571E+01 25 .292893E+00 .147265E+02 .190278E+01 .876090E+00 .116118E+01 .203296E+01 26 .316408E+00 .149269E+02 .184055E+01 .887615E+00 .115720E+01 .200661E+01 27 .340654E+00 .151140E+02 .178425E+01 .895356E+00 .115168E+01 .197733E+01 28 .365607E+00 .152904E+02 .173293E+01 .899766E+00 .114445E+01 .194578E+01 29 .391239E+00 .154583E+02 .168592E+01 .901313E+00 .113540E+01 .191274E+01 30 .417522E+00 .156195E+02 .164250E+01 .900430E+00 .112459E+01 .187886E+01 31 .444430E+00 .157756E+02 .160228E+01 .897469E+00 .111215E+01 .184416E+01 32 .471932E+00 .159273E+02 .156521E+01 .892759E+00 .109832E+01 .180858E+01 33 .500000E+00 .160749E+02 .153112E+01 .886600E+00 .108356E+01 .177196E+01 34 .528603E+00 .162187E+02 .149971E+01 .879240E+00 .106827E+01 .173436E+01 35 .557711E+00 .163588E+02 .147013E+01 .870912E+00 .105245E+01 .169602E+01 36 .587293E+00 .164957E+02 .144146E+01 .861834E+00 .103589E+01 .165719E+01 37 .617317E+00 .166295E+02 .141337E+01 .852155E+00 .101865E+01 .161825E+01 38 .647750E+00 .167601E+02 .138530E+01 .841950E+00 .100114E+01 .157966E+01 39 .678561E+00 .168877E+02 .135672E+01 .831210E+00 .983627E+00 .154151E+01 40 .709715E+00 .170127E+02 .132760E+01 .819860E+00 .966058E+00 .150358E+01 41 .741181E+00 .171352E+02 .129827E+01 .807893E+00 .948070E+00 .146549E+01 42 .772924E+00 .172548E+02 .126909E+01 .795421E+00 .929379E+00 .142738E+01 43 .804910E+00 .173715E+02 .124056E+01 .782534E+00 .909832E+00 .138941E+01 44 .837105E+00 .174849E+02 .121312E+01 .769298E+00 .889457E+00 .135158E+01 45 .869474E+00 .175949E+02 .118689E+01 .755765E+00 .868602E+00 .131385E+01 46 .901983E+00 .177017E+02 .116176E+01 .741942E+00 .847685E+00 .127610E+01 47 .934597E+00 .178049E+02 .113747E+01 .727830E+00 .826955E+00 .123822E+01 48 .967281E+00 .179047E+02 .111360E+01 .713478E+00 .806124E+00 .120021E+01 49 .100000E+01 .180010E+02 .108964E+01 .698948E+00 .784885E+00 .116229E+01 50 .103272E+01 .180935E+02 .106542E+01 .684232E+00 .763433E+00 .112440E+01 51 .106540E+01 .181822E+02 .104098E+01 .669272E+00 .742137E+00 .108643E+01 52 .109802E+01 .182669E+02 .101626E+01 .654056E+00 .721249E+00 .104834E+01 53 .113053E+01 .183476E+02 .990991E+00 .638622E+00 .700827E+00 .101024E+01 54 .116290E+01 .184239E+02 .964880E+00 .622992E+00 .681013E+00 .972139E+00 55 .119509E+01 .184957E+02 .937851E+00 .607183E+00 .662038E+00 .934147E+00 56 .122708E+01 .185625E+02 .910260E+00 .591231E+00 .644233E+00 .896484E+00 57 .125882E+01 .186238E+02 .882580E+00 .575184E+00 .627740E+00 .859514E+00 58 .129028E+01 .186791E+02 .855233E+00 .559066E+00 .612550E+00 .823548E+00 59 .132144E+01 .187276E+02 .828654E+00 .542872E+00 .598642E+00 .788817E+00 60 .135225E+01 .187688E+02 .803295E+00 .526558E+00 .586047E+00 .755458E+00 61 .138268E+01 .188019E+02 .779699E+00 .510060E+00 .574743E+00 .723635E+00 62 .141271E+01 .188265E+02 .758504E+00 .493343E+00 .564645E+00 .693600E+00 63 .144229E+01 .188419E+02 .740294E+00 .476416E+00 .555645E+00 .665812E+00 64 .147140E+01 .188476E+02 .725700E+00 .459293E+00 .547627E+00 .640788E+00 65 .150000E+01 .188429E+02 .715409E+00 .441963E+00 .540513E+00 .619004E+00 66 .152807E+01 .188271E+02 .709928E+00 .424404E+00 .534321E+00 .600749E+00 67 .155557E+01 .187998E+02 .709357E+00 .406612E+00 .529124E+00 .586252E+00 68 .158248E+01 .187602E+02 .713417E+00 .388603E+00 .524954E+00 .575581E+00 69 .160876E+01 .187078E+02 .721614E+00 .370406E+00 .521734E+00 .568704E+00 70 .163439E+01 .186418E+02 .733352E+00 .352051E+00 .519335E+00 .565283E+00 71 .165935E+01 .185612E+02 .747975E+00 .333557E+00 .517650E+00 .564864E+00 72 .168359E+01 .184646E+02 .764814E+00 .314929E+00 .516468E+00 .566687E+00 73 .170711E+01 .183503E+02 .783206E+00 .296152E+00 .515341E+00 .569985E+00 74 .172986E+01 .182166E+02 .802446E+00 .277209E+00 .513645E+00 .573855E+00 75 .175184E+01 .180614E+02 .821702E+00 .258083E+00 .510731E+00 .577633E+00 76 .177301E+01 .178826E+02 .839876E+00 .238769E+00 .506029E+00 .580694E+00 77 .179335E+01 .176780E+02 .855507E+00 .219276E+00 .499064E+00 .582727E+00 78 .181285E+01 .174458E+02 .866762E+00 .199644E+00 .489475E+00 .583471E+00 79 .183147E+01 .171841E+02 .871473E+00 .179956E+00 .477049E+00 .582954E+00 80 .184920E+01 .168923E+02 .867226E+00 .160332E+00 .461719E+00 .581223E+00 81 .186603E+01 .165707E+02 .851584E+00 .140929E+00 .443546E+00 .578562E+00 82 .188192E+01 .162215E+02 .822485E+00 .121935E+00 .422650E+00 .575216E+00 83 .189687E+01 .158492E+02 .778777E+00 .103564E+00 .399130E+00 .571585E+00 84 .191086E+01 .154603E+02 .720726E+00 .860527E-01 .372998E+00 .567934E+00 85 .192388E+01 .150631E+02 .650284E+00 .696596E-01 .344191E+00 .564601E+00 86 .193591E+01 .146670E+02 .570947E+00 .546520E-01 .312655E+00 .561719E+00 87 .194693E+01 .142811E+02 .487169E+00 .412899E-01 .278498E+00 .559458E+00 88 .195694E+01 .139136E+02 .403505E+00 .297959E-01 .242119E+00 .557784E+00 89 .196593E+01 .135716E+02 .323809E+00 .203210E-01 .204262E+00 .556722E+00 90 .197388E+01 .132604E+02 .250788E+00 .129116E-01 .165987E+00 .556125E+00 91 .198079E+01 .129842E+02 .186028E+00 .748841E-02 .128591E+00 .555947E+00 92 .198664E+01 .127461E+02 .130331E+00 .384317E-02 .935054E-01 .556008E+00 93 .199144E+01 .125483E+02 .841095E-01 .165803E-02 .621967E-01 .556256E+00 94 .199518E+01 .123927E+02 .476685E-01 .546553E-03 .360753E-01 .556530E+00 95 .199786E+01 .122806E+02 .213149E-01 .111220E-03 .163954E-01 .556812E+00 96 .199946E+01 .122130E+02 .534988E-02 .707572E-05 .415489E-02 .556981E+00 97 .200000E+01 .121904E+02 .222477E-06 .147507E-15 .105065E-14 .557061E+00 j y/delta -uv -uv/(u_rms*v_rms) uv_rms 1 .000000E+00 .163872E-30 .000000E+00 .802105E-22 2 .535413E-03 .417251E-06 .226366E+00 .339568E-05 3 .214108E-02 .271095E-04 .238314E+00 .210014E-03 4 .481527E-02 .315697E-03 .258537E+00 .226259E-02 5 .855514E-02 .181361E-02 .286720E+00 .117405E-01 6 .133567E-01 .699020E-02 .321196E+00 .400086E-01 7 .192147E-01 .205228E-01 .358620E+00 .101773E+00 8 .261230E-01 .487969E-01 .394654E+00 .206586E+00 9 .340742E-01 .973880E-01 .425355E+00 .351184E+00 10 .430597E-01 .167588E+00 .448202E+00 .521337E+00 11 .530699E-01 .254682E+00 .462350E+00 .700934E+00 12 .640941E-01 .349523E+00 .468415E+00 .879543E+00 13 .761205E-01 .442166E+00 .468071E+00 .105323E+01 14 .891362E-01 .525039E+00 .463530E+00 .122057E+01 15 .103127E+00 .594206E+00 .456987E+00 .137910E+01 16 .118079E+00 .648875E+00 .450217E+00 .152476E+01 17 .133975E+00 .690187E+00 .444418E+00 .165318E+01 18 .150798E+00 .720104E+00 .440242E+00 .176108E+01 19 .168530E+00 .740664E+00 .437883E+00 .184687E+01 20 .187153E+00 .753684E+00 .437225E+00 .191073E+01 21 .206647E+00 .760680E+00 .438022E+00 .195407E+01 22 .226990E+00 .762860E+00 .439966E+00 .197945E+01 23 .248160E+00 .761254E+00 .442754E+00 .198966E+01 24 .270136E+00 .756647E+00 .446077E+00 .198734E+01 25 .292893E+00 .749557E+00 .449643E+00 .197445E+01 26 .316408E+00 .740453E+00 .453237E+00 .195267E+01 27 .340654E+00 .729713E+00 .456772E+00 .192364E+01 28 .365607E+00 .717600E+00 .460226E+00 .188901E+01 29 .391239E+00 .704313E+00 .463504E+00 .185029E+01 30 .417522E+00 .689988E+00 .466538E+00 .180871E+01 31 .444430E+00 .674823E+00 .469279E+00 .176529E+01 32 .471932E+00 .659059E+00 .471648E+00 .172109E+01 33 .500000E+00 .642783E+00 .473508E+00 .167678E+01 34 .528603E+00 .626006E+00 .474750E+00 .163256E+01 35 .557711E+00 .608713E+00 .475426E+00 .158842E+01 36 .587293E+00 .590954E+00 .475695E+00 .154454E+01 37 .617317E+00 .572838E+00 .475618E+00 .150088E+01 38 .647750E+00 .554367E+00 .475298E+00 .145728E+01 39 .678561E+00 .535522E+00 .474870E+00 .141368E+01 40 .709715E+00 .516349E+00 .474389E+00 .137025E+01 41 .741181E+00 .496954E+00 .473803E+00 .132737E+01 42 .772924E+00 .477374E+00 .472898E+00 .128507E+01 43 .804910E+00 .457642E+00 .471418E+00 .124321E+01 44 .837105E+00 .437780E+00 .469090E+00 .120197E+01 45 .869474E+00 .417810E+00 .465779E+00 .116169E+01 46 .901983E+00 .397762E+00 .461463E+00 .112240E+01 47 .934597E+00 .377659E+00 .456174E+00 .108365E+01 48 .967281E+00 .357512E+00 .449968E+00 .104519E+01 49 .100000E+01 .337351E+00 .442949E+00 .100700E+01 50 .103272E+01 .317198E+00 .435119E+00 .968889E+00 51 .106540E+01 .297079E+00 .426410E+00 .930707E+00 52 .109802E+01 .277019E+00 .416765E+00 .892435E+00 53 .113053E+01 .257042E+00 .406154E+00 .854185E+00 54 .116290E+01 .237182E+00 .394572E+00 .815976E+00 55 .119509E+01 .217483E+00 .381919E+00 .777771E+00 56 .122708E+01 .198000E+00 .367910E+00 .739577E+00 57 .125882E+01 .178779E+00 .352173E+00 .701448E+00 58 .129028E+01 .159857E+00 .334337E+00 .663346E+00 59 .132144E+01 .141274E+00 .314045E+00 .625363E+00 60 .135225E+01 .123064E+00 .290946E+00 .587738E+00 61 .138268E+01 .105257E+00 .264669E+00 .550781E+00 62 .141271E+01 .878706E-01 .234821E+00 .514818E+00 63 .144229E+01 .709432E-01 .201150E+00 .480281E+00 64 .147140E+01 .545332E-01 .163611E+00 .447611E+00 65 .150000E+01 .386886E-01 .122361E+00 .417185E+00 66 .152807E+01 .234391E-01 .777940E-01 .389490E+00 67 .155557E+01 .881985E-02 .305785E-01 .364971E+00 68 .158248E+01 -.511733E-02 -.184584E-01 .343779E+00 69 .160876E+01 -.183006E-01 -.684670E-01 .325713E+00 70 .163439E+01 -.306235E-01 -.118614E+00 .310251E+00 71 .165935E+01 -.419353E-01 -.168082E+00 .296635E+00 72 .168359E+01 -.520626E-01 -.216151E+00 .284088E+00 73 .170711E+01 -.608298E-01 -.262256E+00 .271942E+00 74 .172986E+01 -.680564E-01 -.305947E+00 .259653E+00 75 .175184E+01 -.735492E-01 -.346819E+00 .246818E+00 76 .177301E+01 -.771009E-01 -.384473E+00 .233146E+00 77 .179335E+01 -.784987E-01 -.418455E+00 .218407E+00 78 .181285E+01 -.775549E-01 -.448180E+00 .202447E+00 79 .183147E+01 -.741651E-01 -.472912E+00 .185211E+00 80 .184920E+01 -.683824E-01 -.491805E+00 .166749E+00 81 .186603E+01 -.604878E-01 -.504011E+00 .147210E+00 82 .188192E+01 -.510282E-01 -.508809E+00 .126833E+00 83 .189687E+01 -.407897E-01 -.505744E+00 .105965E+00 84 .191086E+01 -.306849E-01 -.494755E+00 .851299E-01 85 .192388E+01 -.215739E-01 -.476260E+00 .650885E-01 86 .193591E+01 -.140779E-01 -.451165E+00 .468039E-01 87 .194693E+01 -.846509E-02 -.420832E+00 .312567E-01 88 .195694E+01 -.465273E-02 -.386992E+00 .191417E-01 89 .196593E+01 -.231369E-02 -.351619E+00 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.656586E-01 -.776123E-01 -.943036E-02 .318398E+01 -.454294E-01 82 .188192E+01 .176586E+00 -.161540E+00 -.503993E-02 .346403E+01 -.420684E-02 83 .189687E+01 .293811E+00 -.254880E+00 -.162077E-02 .389365E+01 .313070E-01 84 .191086E+01 .412938E+00 -.352792E+00 .125049E-02 .450615E+01 .603218E-01 85 .192388E+01 .527977E+00 -.450250E+00 .450358E-02 .530541E+01 .825235E-01 86 .193591E+01 .631560E+00 -.542999E+00 .867475E-02 .624210E+01 .986995E-01 87 .194693E+01 .716132E+00 -.627988E+00 .136418E-01 .718999E+01 .109678E+00 88 .195694E+01 .776244E+00 -.703387E+00 .189315E-01 .795063E+01 .116821E+00 89 .196593E+01 .810837E+00 -.768435E+00 .241030E-01 .831787E+01 .121000E+00 90 .197388E+01 .823665E+00 -.823363E+00 .288561E-01 .817380E+01 .123335E+00 91 .198079E+01 .821387E+00 -.869123E+00 .329984E-01 .754917E+01 .124323E+00 92 .198664E+01 .810890E+00 -.906967E+00 .364069E-01 .660155E+01 .124699E+00 93 .199144E+01 .797582E+00 -.937866E+00 .390381E-01 .554186E+01 .124603E+00 94 .199518E+01 .784996E+00 -.962345E+00 .409244E-01 .455989E+01 .124470E+00 95 .199786E+01 .775124E+00 -.979895E+00 .421564E-01 .379148E+01 .124214E+00 96 .199946E+01 .769039E+00 -.991319E+00 .428391E-01 .330905E+01 .124120E+00 j y/delta u_flat v_flat w_flat uv_flat p_flat 2 .535413E-03 .430702E+01 .241886E+02 .793708E+01 .693393E+03 .526698E+01 3 .214108E-02 .431905E+01 .233197E+02 .772970E+01 .696519E+03 .526177E+01 4 .481527E-02 .433434E+01 .219424E+02 .739554E+01 .690565E+03 .525728E+01 5 .855514E-02 .432696E+01 .201755E+02 .695461E+01 .641837E+03 .525928E+01 6 .133567E-01 .423671E+01 .181907E+02 .644030E+01 .513249E+03 .527658E+01 7 .192147E-01 .399569E+01 .161636E+02 .589785E+01 .335362E+03 .531943E+01 8 .261230E-01 .360413E+01 .142322E+02 .537407E+01 .188990E+03 .539948E+01 9 .340742E-01 .315363E+01 .124836E+02 .490500E+01 .101986E+03 .552659E+01 10 .430597E-01 .275246E+01 .109548E+02 .450807E+01 .571018E+02 .570636E+01 11 .530699E-01 .246059E+01 .964110E+01 .418201E+01 .342382E+02 .593223E+01 12 .640941E-01 .228627E+01 .851098E+01 .391703E+01 .222745E+02 .618145E+01 13 .761205E-01 .221009E+01 .752993E+01 .370463E+01 .160322E+02 .641624E+01 14 .891362E-01 .220547E+01 .667871E+01 .354111E+01 .129593E+02 .659808E+01 15 .103127E+00 .224914E+01 .595193E+01 .342249E+01 .116515E+02 .670115E+01 16 .118079E+00 .232370E+01 .534583E+01 .333722E+01 .112631E+02 .672200E+01 17 .133975E+00 .241609E+01 .485329E+01 .327399E+01 .113246E+02 .667763E+01 18 .150798E+00 .251678E+01 .446250E+01 .323229E+01 .115941E+02 .659094E+01 19 .168530E+00 .261876E+01 .415725E+01 .320775E+01 .119492E+02 .648668E+01 20 .187153E+00 .271524E+01 .392159E+01 .319264E+01 .123357E+02 .638619E+01 21 .206647E+00 .280219E+01 .374119E+01 .318611E+01 .127370E+02 .629168E+01 22 .226990E+00 .287824E+01 .360390E+01 .318143E+01 .131430E+02 .619864E+01 23 .248160E+00 .294185E+01 .350062E+01 .317302E+01 .135354E+02 .610874E+01 24 .270136E+00 .299166E+01 .342427E+01 .316658E+01 .139123E+02 .602733E+01 25 .292893E+00 .302863E+01 .336996E+01 .316521E+01 .142686E+02 .596709E+01 26 .316408E+00 .305547E+01 .333376E+01 .316952E+01 .146275E+02 .593018E+01 27 .340654E+00 .307334E+01 .331051E+01 .317617E+01 .149823E+02 .591584E+01 28 .365607E+00 .308415E+01 .329700E+01 .318140E+01 .153078E+02 .591295E+01 29 .391239E+00 .309125E+01 .329153E+01 .318509E+01 .156063E+02 .592230E+01 30 .417522E+00 .309617E+01 .329178E+01 .318535E+01 .159208E+02 .594304E+01 31 .444430E+00 .309973E+01 .329552E+01 .318452E+01 .162223E+02 .595186E+01 32 .471932E+00 .310389E+01 .330168E+01 .318552E+01 .165487E+02 .594209E+01 33 .500000E+00 .310824E+01 .330928E+01 .319026E+01 .168992E+02 .591703E+01 34 .528603E+00 .311112E+01 .331837E+01 .319943E+01 .172526E+02 .589352E+01 35 .557711E+00 .311278E+01 .332901E+01 .320848E+01 .176276E+02 .587438E+01 36 .587293E+00 .311673E+01 .334037E+01 .321740E+01 .180212E+02 .584237E+01 37 .617317E+00 .312354E+01 .335272E+01 .322889E+01 .184605E+02 .581688E+01 38 .647750E+00 .313468E+01 .336688E+01 .324633E+01 .189362E+02 .581950E+01 39 .678561E+00 .315181E+01 .338444E+01 .326762E+01 .194768E+02 .585953E+01 40 .709715E+00 .317338E+01 .340707E+01 .329261E+01 .201133E+02 .594685E+01 41 .741181E+00 .319571E+01 .343554E+01 .332212E+01 .209118E+02 .605365E+01 42 .772924E+00 .321847E+01 .346960E+01 .335526E+01 .218164E+02 .618261E+01 43 .804910E+00 .324355E+01 .350917E+01 .339046E+01 .227688E+02 .636039E+01 44 .837105E+00 .327009E+01 .355402E+01 .342469E+01 .237427E+02 .657566E+01 45 .869474E+00 .329786E+01 .360378E+01 .345364E+01 .246988E+02 .679666E+01 46 .901983E+00 .332650E+01 .365841E+01 .348097E+01 .256333E+02 .700721E+01 47 .934597E+00 .335891E+01 .371693E+01 .351013E+01 .265373E+02 .720690E+01 48 .967281E+00 .339697E+01 .377754E+01 .353788E+01 .273808E+02 .738838E+01 49 .100000E+01 .343898E+01 .383953E+01 .356528E+01 .282039E+02 .754431E+01 50 .103272E+01 .348726E+01 .390354E+01 .360035E+01 .290304E+02 .768747E+01 51 .106540E+01 .354540E+01 .397039E+01 .364212E+01 .299441E+02 .785196E+01 52 .109802E+01 .361321E+01 .404042E+01 .368313E+01 .308906E+02 .802666E+01 53 .113053E+01 .368842E+01 .411265E+01 .372268E+01 .319319E+02 .820098E+01 54 .116290E+01 .376831E+01 .418528E+01 .376561E+01 .331932E+02 .837179E+01 55 .119509E+01 .385152E+01 .425817E+01 .380520E+01 .346667E+02 .855841E+01 56 .122708E+01 .393266E+01 .433216E+01 .382850E+01 .361830E+02 .878115E+01 57 .125882E+01 .400330E+01 .440773E+01 .383749E+01 .377127E+02 .902420E+01 58 .129028E+01 .405668E+01 .448444E+01 .383776E+01 .392583E+02 .922597E+01 59 .132144E+01 .408823E+01 .456154E+01 .382743E+01 .408467E+02 .932515E+01 60 .135225E+01 .408581E+01 .463846E+01 .381403E+01 .424441E+02 .932089E+01 61 .138268E+01 .404028E+01 .471551E+01 .379553E+01 .439211E+02 .923759E+01 62 .141271E+01 .395701E+01 .479221E+01 .376536E+01 .451580E+02 .907121E+01 63 .144229E+01 .384273E+01 .486522E+01 .372630E+01 .459324E+02 .879253E+01 64 .147140E+01 .370530E+01 .493128E+01 .368360E+01 .459620E+02 .839654E+01 65 .150000E+01 .355759E+01 .498901E+01 .363921E+01 .450901E+02 .790889E+01 66 .152807E+01 .341997E+01 .503616E+01 .359673E+01 .432144E+02 .735868E+01 67 .155557E+01 .330917E+01 .506926E+01 .356313E+01 .402083E+02 .678966E+01 68 .158248E+01 .322823E+01 .508779E+01 .353947E+01 .364368E+02 .626862E+01 69 .160876E+01 .317455E+01 .509444E+01 .351952E+01 .325514E+02 .580378E+01 70 .163439E+01 .313983E+01 .509322E+01 .349913E+01 .290186E+02 .538442E+01 71 .165935E+01 .311138E+01 .509127E+01 .348239E+01 .259694E+02 .505117E+01 72 .168359E+01 .307932E+01 .510200E+01 .347246E+01 .234586E+02 .484442E+01 73 .170711E+01 .303805E+01 .514168E+01 .346643E+01 .215310E+02 .475464E+01 74 .172986E+01 .298497E+01 .522378E+01 .346152E+01 .200832E+02 .474004E+01 75 .175184E+01 .292003E+01 .535818E+01 .345992E+01 .189484E+02 .475954E+01 76 .177301E+01 .284582E+01 .555259E+01 .346611E+01 .179955E+02 .478804E+01 77 .179335E+01 .276781E+01 .581294E+01 .348324E+01 .171807E+02 .480886E+01 78 .181285E+01 .269428E+01 .614304E+01 .351489E+01 .165649E+02 .481122E+01 79 .183147E+01 .263561E+01 .654404E+01 .356594E+01 .163535E+02 .478650E+01 80 .184920E+01 .260355E+01 .701411E+01 .364029E+01 .169196E+02 .473598E+01 81 .186603E+01 .261055E+01 .755089E+01 .373984E+01 .188453E+02 .466543E+01 82 .188192E+01 .266891E+01 .815436E+01 .386537E+01 .230253E+02 .458714E+01 83 .189687E+01 .278909E+01 .882774E+01 .401820E+01 .308120E+02 .450951E+01 84 .191086E+01 .297650E+01 .957660E+01 .420126E+01 .441618E+02 .444078E+01 85 .192388E+01 .322672E+01 .104070E+02 .441839E+01 .656193E+02 .438268E+01 86 .193591E+01 .352002E+01 .113206E+02 .467233E+01 .976182E+02 .433724E+01 87 .194693E+01 .381957E+01 .123100E+02 .496184E+01 .140404E+03 .430235E+01 88 .195694E+01 .407996E+01 .133585E+02 .527976E+01 .189712E+03 .427797E+01 89 .196593E+01 .426661E+01 .144433E+02 .561373E+01 .237151E+03 .426125E+01 90 .197388E+01 .437166E+01 .155347E+02 .594894E+01 .274704E+03 .425183E+01 91 .198079E+01 .441200E+01 .165967E+02 .627054E+01 .300053E+03 .424687E+01 92 .198664E+01 .441403E+01 .175882E+02 .656476E+01 .316677E+03 .424607E+01 93 .199144E+01 .440014E+01 .184677E+02 .681967E+01 .329423E+03 .424683E+01 94 .199518E+01 .438393E+01 .191970E+02 .702595E+01 .340670E+03 .424921E+01 95 .199786E+01 .437057E+01 .197351E+02 .717710E+01 .350296E+03 .425105E+01 96 .199946E+01 .413709E+01 .200823E+02 .726913E+01 .356889E+03 .425292E+01 4.2 Budgets of Turbulence Energy, Reynolds stresses, Dissipation rate of k Budget for uu j y/delta Diss Prod p_strain Turb_diff Visc_diff 1 .000000E+00 -.284970E+00 .327743E-30 .150607E-16 -.752792E-05 .284894E+00 2 .535413E-03 -.284270E+00 .834214E-06 .365859E-03 .507502E-05 .283903E+00 3 .214108E-02 -.282795E+00 .541428E-04 .121327E-02 .799989E-04 .281475E+00 4 .481527E-02 -.281742E+00 .629235E-03 .188165E-02 .959180E-03 .278341E+00 5 .855514E-02 -.281282E+00 .360066E-02 .154935E-02 .525131E-02 .270988E+00 6 .133567E-01 -.278989E+00 .137625E-01 -.450545E-03 .184160E-01 .247416E+00 7 .192147E-01 -.270160E+00 .396964E-01 -.440179E-02 .447405E-01 .190300E+00 8 .261230E-01 -.252429E+00 .911947E-01 -.101539E-01 .768225E-01 .947523E-01 9 .340742E-01 -.230649E+00 .171550E+00 -.172285E-01 .918192E-01 -.153239E-01 10 .430597E-01 -.213610E+00 .269756E+00 -.249993E-01 .694182E-01 -.100426E+00 11 .530699E-01 -.205445E+00 .362324E+00 -.328478E-01 .131738E-01 -.137133E+00 12 .640941E-01 -.203022E+00 .426016E+00 -.402311E-01 -.520031E-01 -.130747E+00 13 .761205E-01 -.200713E+00 .450172E+00 -.467195E-01 -.101114E+00 -.101698E+00 14 .891362E-01 -.195042E+00 .438705E+00 -.520335E-01 -.123373E+00 -.683936E-01 15 .103127E+00 -.185425E+00 .403531E+00 -.560968E-01 -.121632E+00 -.405890E-01 16 .118079E+00 -.172824E+00 .357104E+00 -.590069E-01 -.104588E+00 -.208893E-01 17 .133975E+00 -.158461E+00 .308526E+00 -.609538E-01 -.809970E-01 -.835588E-02 18 .150798E+00 -.143363E+00 .263013E+00 -.621039E-01 -.567406E-01 -.103229E-02 19 .168530E+00 -.128384E+00 .222930E+00 -.625213E-01 -.351748E-01 .293048E-02 20 .187153E+00 -.114024E+00 .188914E+00 -.621804E-01 -.175128E-01 .463091E-02 21 .206647E+00 -.100624E+00 .160705E+00 -.611106E-01 -.417778E-02 .508852E-02 22 .226990E+00 -.884258E-01 .137649E+00 -.593992E-01 .508660E-02 .501850E-02 23 .248160E+00 -.775323E-01 .118884E+00 -.571290E-01 .110480E-01 .467444E-02 24 .270136E+00 -.679253E-01 .103605E+00 -.544359E-01 .146403E-01 .409158E-02 25 .292893E+00 -.595937E-01 .912290E-01 -.515108E-01 .163946E-01 .354261E-02 26 .316408E+00 -.523328E-01 .811532E-01 -.485047E-01 .168990E-01 .287024E-02 27 .340654E+00 -.460774E-01 .728711E-01 -.454939E-01 .166104E-01 .218368E-02 28 .365607E+00 -.407861E-01 .660322E-01 -.425021E-01 .155850E-01 .174859E-02 29 .391239E+00 -.362807E-01 .603607E-01 -.395644E-01 .142389E-01 .135225E-02 30 .417522E+00 -.324853E-01 .556660E-01 -.367918E-01 .125813E-01 .111190E-02 31 .444430E+00 -.292508E-01 .516706E-01 -.342514E-01 .109343E-01 .977998E-03 32 .471932E+00 -.264310E-01 .480679E-01 -.319330E-01 .949564E-02 .841273E-03 33 .500000E+00 -.239546E-01 .447437E-01 -.297805E-01 .830735E-02 .707134E-03 34 .528603E+00 -.217429E-01 .416848E-01 -.277425E-01 .730584E-02 .495106E-03 35 .557711E+00 -.197996E-01 .388982E-01 -.258050E-01 .640601E-02 .290705E-03 36 .587293E+00 -.181315E-01 .363409E-01 -.239902E-01 .550902E-02 .240629E-03 37 .617317E+00 -.166195E-01 .339129E-01 -.223179E-01 .485887E-02 .133942E-03 38 .647750E+00 -.152675E-01 .316422E-01 -.207890E-01 .430966E-02 .492168E-04 39 .678561E+00 -.140983E-01 .295623E-01 -.193824E-01 .379885E-02 .468896E-04 40 .709715E+00 -.130689E-01 .276395E-01 -.180699E-01 .331870E-02 .900692E-04 41 .741181E+00 -.121301E-01 .257841E-01 -.168312E-01 .294354E-02 .127322E-03 42 .772924E+00 -.112753E-01 .239782E-01 -.156839E-01 .269839E-02 .173297E-03 43 .804910E+00 -.104782E-01 .222193E-01 -.146399E-01 .256737E-02 .217268E-03 44 .837105E+00 -.972258E-02 .205230E-01 -.136720E-01 .253001E-02 .208097E-03 45 .869474E+00 -.902131E-02 .189092E-01 -.127416E-01 .252786E-02 .183547E-03 46 .901983E+00 -.836984E-02 .173724E-01 -.118357E-01 .253058E-02 .146443E-03 47 .934597E+00 -.777303E-02 .159078E-01 -.109558E-01 .258025E-02 .975898E-04 48 .967281E+00 -.722729E-02 .145125E-01 -.101116E-01 .265394E-02 .393693E-04 49 .100000E+01 -.673461E-02 .131784E-01 -.932116E-02 .273453E-02 .222190E-04 50 .103272E+01 -.629007E-02 .119055E-01 -.859139E-02 .282425E-02 .305094E-04 51 .106540E+01 -.587951E-02 .106907E-01 -.792217E-02 .296783E-02 .235779E-04 52 .109802E+01 -.549766E-02 .953184E-02 -.730186E-02 .314907E-02 -.116327E-05 53 .113053E+01 -.514244E-02 .842905E-02 -.670915E-02 .333165E-02 -.263559E-04 54 .116290E+01 -.481697E-02 .737564E-02 -.614028E-02 .349387E-02 -.320436E-04 55 .119509E+01 -.452367E-02 .636743E-02 -.560405E-02 .363717E-02 .470417E-05 56 .122708E+01 -.425345E-02 .539797E-02 -.510647E-02 .379782E-02 .451298E-04 57 .125882E+01 -.401073E-02 .447091E-02 -.464814E-02 .399677E-02 .770939E-04 58 .129028E+01 -.380117E-02 .359404E-02 -.422500E-02 .420782E-02 .108373E-03 59 .132144E+01 -.362248E-02 .277639E-02 -.382583E-02 .441556E-02 .137715E-03 60 .135225E+01 -.347477E-02 .202916E-02 -.343899E-02 .459349E-02 .172916E-03 61 .138268E+01 -.335780E-02 .136609E-02 -.305578E-02 .471890E-02 .215689E-03 62 .141271E+01 -.327159E-02 .802082E-03 -.267266E-02 .477554E-02 .250679E-03 63 .144229E+01 -.322188E-02 .348813E-03 -.229003E-02 .475208E-02 .292525E-03 64 .147140E+01 -.321276E-02 .149952E-04 -.191341E-02 .464536E-02 .344853E-03 65 .150000E+01 -.324159E-02 -.187441E-03 -.154788E-02 .446680E-02 .391071E-03 66 .152807E+01 -.330396E-02 -.245266E-03 -.119869E-02 .421698E-02 .412650E-03 67 .155557E+01 -.340434E-02 -.146511E-03 -.868316E-03 .389725E-02 .412472E-03 68 .158248E+01 -.354942E-02 .119531E-03 -.567131E-03 .349738E-02 .401839E-03 69 .160876E+01 -.374281E-02 .563839E-03 -.310383E-03 .301664E-02 .387013E-03 70 .163439E+01 -.398710E-02 .119892E-02 -.114831E-03 .246120E-02 .366038E-03 71 .165935E+01 -.428491E-02 .204004E-02 .422905E-05 .183958E-02 .340695E-03 72 .168359E+01 -.463773E-02 .310393E-02 .352286E-04 .114578E-02 .308652E-03 73 .170711E+01 -.504322E-02 .440302E-02 -.265010E-04 .377643E-03 .259839E-03 74 .172986E+01 -.549143E-02 .593902E-02 -.177460E-03 -.462693E-03 .174298E-03 75 .175184E+01 -.596114E-02 .769466E-02 -.404637E-03 -.135131E-02 .149246E-04 76 .177301E+01 -.642264E-02 .962407E-02 -.685212E-03 -.225315E-02 -.263737E-03 77 .179335E+01 -.684165E-02 .116393E-01 -.990578E-03 -.310270E-02 -.699722E-03 78 .181285E+01 -.717990E-02 .135966E-01 -.128579E-02 -.379914E-02 -.132593E-02 79 .183147E+01 -.739875E-02 .152878E-01 -.153564E-02 -.419024E-02 -.215734E-02 80 .184920E+01 -.747382E-02 .164521E-01 -.170724E-02 -.411888E-02 -.314958E-02 81 .186603E+01 -.741619E-02 .168219E-01 -.177801E-02 -.348128E-02 -.414690E-02 82 .188192E+01 -.728554E-02 .162044E-01 -.173737E-02 -.231950E-02 -.486634E-02 83 .189687E+01 -.718065E-02 .145763E-01 -.158980E-02 -.856959E-03 -.495447E-02 84 .191086E+01 -.720044E-02 .121403E-01 -.135322E-02 .534938E-03 -.412768E-02 85 .192388E+01 -.739036E-02 .929163E-02 -.105593E-02 .149636E-02 -.234513E-02 86 .193591E+01 -.770942E-02 .649308E-02 -.731388E-03 .184215E-02 .104869E-03 87 .194693E+01 -.805042E-02 .411995E-02 -.413112E-03 .165223E-02 .269544E-02 88 .195694E+01 -.830691E-02 .236014E-02 -.130504E-03 .118046E-02 .490413E-02 89 .196593E+01 -.843783E-02 .121132E-02 .935682E-04 .694588E-03 .644927E-02 90 .197388E+01 -.847887E-02 .550114E-03 .244623E-03 .339185E-03 .735640E-02 91 .198079E+01 -.850113E-02 .216348E-03 .317638E-03 .138154E-03 .784064E-02 92 .198664E+01 -.856175E-02 .709325E-04 .318457E-03 .450247E-04 .813633E-02 93 .199144E+01 -.868090E-02 .180899E-04 .263504E-03 .118176E-04 .839457E-02 94 .199518E+01 -.884322E-02 .313071E-05 .177600E-03 .159798E-05 .866453E-02 95 .199786E+01 -.901028E-02 .268419E-06 .890809E-04 .521394E-06 .892265E-02 96 .199946E+01 -.913577E-02 .412862E-08 .238744E-04 -.353409E-06 .911203E-02 97 .200000E+01 -.918242E-02 -.202827E-32 .134887E-17 .711748E-06 .917869E-02 Budget for vv j y/delta Diss p_strain Pres_diff Turb_diff Visc_diff 1 .000000E+00 -.295486E-32 -.870616E-17 .559187E-05 .204006E-06 -.168778E-05 2 .535413E-03 -.483475E-05 -.219083E-02 .218566E-02 -.102221E-06 .709512E-05 3 .214108E-02 -.698972E-04 -.799874E-02 .796839E-02 .986261E-07 .103150E-03 4 .481527E-02 -.300120E-03 -.154515E-01 .153175E-01 -.280531E-06 .431921E-03 5 .855514E-02 -.760375E-03 -.222088E-01 .219270E-01 -.185663E-05 .104946E-02 6 .133567E-01 -.142231E-02 -.265215E-01 .261213E-01 -.942515E-05 .183684E-02 7 .192147E-01 -.219679E-02 -.277872E-01 .274647E-01 -.196876E-04 .256264E-02 8 .261230E-01 -.301741E-02 -.264281E-01 .264528E-01 .528894E-05 .302476E-02 9 .340742E-01 -.390066E-02 -.232992E-01 .239515E-01 .172066E-03 .314786E-02 10 .430597E-01 -.493280E-02 -.190964E-01 .205057E-01 .638251E-03 .297509E-02 11 .530699E-01 -.619979E-02 -.141327E-01 .163397E-01 .152034E-02 .259401E-02 12 .640941E-01 -.772347E-02 -.850676E-02 .115346E-01 .273669E-02 .207870E-02 13 .761205E-01 -.944697E-02 -.238243E-02 .651867E-02 .395418E-02 .148366E-02 14 .891362E-01 -.112612E-01 .388436E-02 .191388E-02 .470620E-02 .863369E-03 15 .103127E+00 -.130405E-01 .985361E-02 -.159971E-02 .461523E-02 .277336E-03 16 .118079E+00 -.146691E-01 .151574E-01 -.375281E-02 .356897E-02 -.225583E-03 17 .133975E+00 -.160603E-01 .195968E-01 -.461148E-02 .174926E-02 -.614626E-03 18 .150798E+00 -.171630E-01 .230813E-01 -.451138E-02 -.517269E-03 -.872315E-03 19 .168530E+00 -.179570E-01 .255568E-01 -.372851E-02 -.288108E-02 -.100479E-02 20 .187153E+00 -.184488E-01 .270249E-01 -.254616E-02 -.503892E-02 -.103738E-02 21 .206647E+00 -.186647E-01 .275879E-01 -.124063E-02 -.676100E-02 -.997359E-03 22 .226990E+00 -.186400E-01 .273945E-01 -.256346E-04 -.790824E-02 -.921575E-03 23 .248160E+00 -.184172E-01 .265721E-01 .103737E-02 -.848267E-02 -.834669E-03 24 .270136E+00 -.180399E-01 .253227E-01 .188064E-02 -.854695E-02 -.745496E-03 25 .292893E+00 -.175457E-01 .239007E-01 .228949E-02 -.812940E-02 -.659726E-03 26 .316408E+00 -.169653E-01 .224701E-01 .218782E-02 -.728703E-02 -.568330E-03 27 .340654E+00 -.163188E-01 .210858E-01 .168079E-02 -.616278E-02 -.470129E-03 28 .365607E+00 -.156229E-01 .197159E-01 .105595E-02 -.497794E-02 -.377500E-03 29 .391239E+00 -.148951E-01 .183433E-01 .536251E-03 -.390754E-02 -.298096E-03 30 .417522E+00 -.141525E-01 .170460E-01 .857326E-04 -.297955E-02 -.236298E-03 31 .444430E+00 -.134128E-01 .158648E-01 -.321335E-03 -.221667E-02 -.183177E-03 32 .471932E+00 -.126890E-01 .148156E-01 -.675992E-03 -.162615E-02 -.137536E-03 33 .500000E+00 -.119906E-01 .138765E-01 -.986170E-03 -.114796E-02 -.103347E-03 34 .528603E+00 -.113238E-01 .129893E-01 -.120073E-02 -.769034E-03 -.733703E-04 35 .557711E+00 -.106881E-01 .121203E-01 -.128048E-02 -.497061E-03 -.477953E-04 36 .587293E+00 -.100825E-01 .112865E-01 -.125720E-02 -.312811E-03 -.315042E-04 37 .617317E+00 -.950767E-02 .105129E-01 -.120302E-02 -.169186E-03 -.228606E-04 38 .647750E+00 -.895980E-02 .981265E-02 -.116065E-02 -.523293E-04 -.221649E-04 39 .678561E+00 -.843594E-02 .919348E-02 -.116627E-02 .617675E-04 -.275145E-04 40 .709715E+00 -.793627E-02 .862693E-02 -.121404E-02 .174304E-03 -.267845E-04 41 .741181E+00 -.746103E-02 .807854E-02 -.123013E-02 .251085E-03 -.153981E-04 42 .772924E+00 -.700959E-02 .757188E-02 -.128171E-02 .348289E-03 -.809606E-05 43 .804910E+00 -.658250E-02 .713346E-02 -.140373E-02 .483421E-03 -.329453E-05 44 .837105E+00 -.618038E-02 .674194E-02 -.159929E-02 .667932E-03 .103588E-05 45 .869474E+00 -.580291E-02 .635628E-02 -.179211E-02 .887076E-03 .107591E-05 46 .901983E+00 -.545001E-02 .597352E-02 -.196171E-02 .109248E-02 .919950E-06 47 .934597E+00 -.512084E-02 .559486E-02 -.210032E-02 .128734E-02 .416645E-05 48 .967281E+00 -.481280E-02 .523222E-02 -.222793E-02 .147073E-02 .843453E-05 49 .100000E+01 -.452285E-02 .491687E-02 -.237737E-02 .165069E-02 .747716E-05 50 .103272E+01 -.424940E-02 .465405E-02 -.255564E-02 .181901E-02 .331424E-05 51 .106540E+01 -.399110E-02 .443097E-02 -.272645E-02 .195625E-02 .268266E-05 52 .109802E+01 -.374572E-02 .422558E-02 -.287237E-02 .205965E-02 .537301E-05 53 .113053E+01 -.351125E-02 .401094E-02 -.295882E-02 .213010E-02 .637693E-05 54 .116290E+01 -.328745E-02 .377510E-02 -.298343E-02 .216917E-02 .719461E-05 55 .119509E+01 -.307484E-02 .352761E-02 -.296461E-02 .218870E-02 .910362E-05 56 .122708E+01 -.287521E-02 .328147E-02 -.293179E-02 .220260E-02 .116154E-04 57 .125882E+01 -.268946E-02 .305137E-02 -.290068E-02 .221521E-02 .127485E-04 58 .129028E+01 -.251724E-02 .283791E-02 -.286056E-02 .221930E-02 .121634E-04 59 .132144E+01 -.235792E-02 .262857E-02 -.279642E-02 .220763E-02 .976931E-05 60 .135225E+01 -.221073E-02 .241082E-02 -.268582E-02 .218048E-02 .632005E-05 61 .138268E+01 -.207462E-02 .217479E-02 -.252447E-02 .212584E-02 .463170E-05 62 .141271E+01 -.194833E-02 .190807E-02 -.228738E-02 .203723E-02 .581647E-05 63 .144229E+01 -.183016E-02 .160179E-02 -.198519E-02 .192378E-02 .719883E-05 64 .147140E+01 -.171872E-02 .125737E-02 -.161064E-02 .179665E-02 .693829E-05 65 .150000E+01 -.161353E-02 .880144E-03 -.119038E-02 .165544E-02 .651638E-05 66 .152807E+01 -.151433E-02 .475995E-03 -.714981E-03 .150209E-02 .708148E-05 67 .155557E+01 -.142077E-02 .492198E-04 -.207010E-03 .134055E-02 .901287E-05 68 .158248E+01 -.133202E-02 -.385979E-03 .334850E-03 .117081E-02 .116807E-04 69 .160876E+01 -.124713E-02 -.808671E-03 .863151E-03 .993419E-03 .144076E-04 70 .163439E+01 -.116558E-02 -.119677E-02 .136646E-02 .819092E-03 .167764E-04 71 .165935E+01 -.108721E-02 -.153164E-02 .179420E-02 .664284E-03 .185192E-04 72 .168359E+01 -.101178E-02 -.179750E-02 .214052E-02 .537846E-03 .197370E-04 73 .170711E+01 -.938778E-03 -.198476E-02 .237272E-02 .437870E-03 .211344E-04 74 .172986E+01 -.867536E-03 -.208969E-02 .250672E-02 .360733E-03 .233217E-04 75 .175184E+01 -.797303E-03 -.211763E-02 .253301E-02 .301885E-03 .266288E-04 76 .177301E+01 -.727468E-03 -.208010E-02 .248533E-02 .256423E-03 .316159E-04 77 .179335E+01 -.657740E-03 -.199350E-02 .236794E-02 .218414E-03 .390719E-04 78 .181285E+01 -.588286E-03 -.187833E-02 .222328E-02 .182362E-03 .493998E-04 79 .183147E+01 -.519886E-03 -.175697E-02 .206354E-02 .143087E-03 .624041E-04 80 .184920E+01 -.453927E-03 -.164961E-02 .192922E-02 .992621E-04 .774475E-04 81 .186603E+01 -.392166E-03 -.157090E-02 .181769E-02 .533911E-04 .937258E-04 82 .188192E+01 -.336301E-03 -.152894E-02 .175182E-02 .119423E-04 .110392E-03 83 .189687E+01 -.287493E-03 -.152712E-02 .171183E-02 -.188900E-04 .126419E-03 84 .191086E+01 -.245970E-03 -.156312E-02 .171367E-02 -.352953E-04 .140481E-03 85 .192388E+01 -.210849E-03 -.163012E-02 .173215E-02 -.383438E-04 .150798E-03 86 .193591E+01 -.180301E-03 -.171370E-02 .177826E-02 -.320745E-04 .155237E-03 87 .194693E+01 -.152135E-03 -.179330E-02 .181686E-02 -.221527E-04 .151749E-03 88 .195694E+01 -.124617E-03 -.184196E-02 .184461E-02 -.126715E-04 .139219E-03 89 .196593E+01 -.971460E-04 -.183148E-02 .181538E-02 -.605177E-05 .118250E-03 90 .197388E+01 -.704622E-04 -.173765E-02 .172171E-02 -.227158E-05 .914692E-04 91 .198079E+01 -.462890E-04 -.154868E-02 .153074E-02 -.706449E-06 .630335E-04 92 .198664E+01 -.265718E-04 -.127154E-02 .126291E-02 -.114821E-06 .374759E-04 93 .199144E+01 -.126175E-04 -.935041E-03 .927408E-03 -.474835E-07 .182485E-04 94 .199518E+01 -.449306E-05 -.586308E-03 .586214E-03 .268827E-07 .661018E-05 95 .199786E+01 -.967379E-06 -.281629E-03 .279167E-03 -.281014E-07 .144267E-05 96 .199946E+01 -.637341E-07 -.737447E-04 .757415E-04 .280221E-07 .813636E-07 97 .200000E+01 -.230359E-32 -.673333E-18 -.400556E-05 -.560082E-07 -.188466E-06 Budget for ww j y/delta Diss p_strain Turb_diff Visc_diff 1 .000000E+00 -.959683E-01 -.635456E-17 -.627801E-06 .959300E-01 2 .535413E-03 -.923552E-01 .182497E-02 .243425E-06 .905364E-01 3 .214108E-02 -.825658E-01 .678547E-02 -.506613E-05 .758416E-01 4 .481527E-02 -.690985E-01 .135698E-01 -.547945E-04 .557165E-01 5 .855514E-02 -.546970E-01 .206595E-01 -.292451E-03 .345623E-01 6 .133567E-01 -.417381E-01 .269721E-01 -.953260E-03 .160620E-01 7 .192147E-01 -.321781E-01 .321890E-01 -.220565E-02 .264637E-02 8 .261230E-01 -.272315E-01 .365819E-01 -.392749E-02 -.486890E-02 9 .340742E-01 -.267843E-01 .405277E-01 -.568219E-02 -.742046E-02 10 .430597E-01 -.294066E-01 .440957E-01 -.689738E-02 -.708595E-02 11 .530699E-01 -.331669E-01 .469805E-01 -.716677E-02 -.590282E-02 12 .640941E-01 -.365344E-01 .487379E-01 -.644057E-02 -.500951E-02 13 .761205E-01 -.387727E-01 .491020E-01 -.502651E-02 -.458343E-02 14 .891362E-01 -.397963E-01 .481492E-01 -.335661E-02 -.433537E-02 15 .103127E+00 -.398228E-01 .462432E-01 -.180214E-02 -.403306E-02 16 .118079E+00 -.391768E-01 .438494E-01 -.645426E-03 -.352369E-02 17 .133975E+00 -.381132E-01 .413570E-01 .148743E-05 -.285230E-02 18 .150798E+00 -.367595E-01 .390226E-01 .246437E-03 -.222817E-02 19 .168530E+00 -.352463E-01 .369645E-01 .150079E-03 -.166868E-02 20 .187153E+00 -.336596E-01 .351555E-01 -.207274E-03 -.119107E-02 21 .206647E+00 -.320221E-01 .335226E-01 -.617010E-03 -.881658E-03 22 .226990E+00 -.303435E-01 .320047E-01 -.966355E-03 -.770722E-03 23 .248160E+00 -.287277E-01 .305569E-01 -.133535E-02 -.626019E-03 24 .270136E+00 -.272226E-01 .291132E-01 -.172342E-02 -.391539E-03 25 .292893E+00 -.257659E-01 .276100E-01 -.189644E-02 -.250360E-03 26 .316408E+00 -.243394E-01 .260346E-01 -.177274E-02 -.254039E-03 27 .340654E+00 -.229782E-01 .244081E-01 -.151711E-02 -.264129E-03 28 .365607E+00 -.216698E-01 .227862E-01 -.123816E-02 -.253305E-03 29 .391239E+00 -.204092E-01 .212210E-01 -.100924E-02 -.223519E-03 30 .417522E+00 -.192004E-01 .197458E-01 -.808369E-03 -.177964E-03 31 .444430E+00 -.180535E-01 .183866E-01 -.655377E-03 -.135327E-03 32 .471932E+00 -.169864E-01 .171174E-01 -.544255E-03 -.581066E-04 33 .500000E+00 -.159913E-01 .159040E-01 -.393534E-03 .444418E-06 34 .528603E+00 -.150372E-01 .147532E-01 -.199092E-03 -.106955E-06 35 .557711E+00 -.141082E-01 .136847E-01 -.266311E-04 -.313418E-04 36 .587293E+00 -.132315E-01 .127037E-01 .623170E-04 -.181239E-04 37 .617317E+00 -.124080E-01 .118050E-01 .983241E-04 .278712E-04 38 .647750E+00 -.116278E-01 .109764E-01 .124973E-03 .542402E-04 39 .678561E+00 -.109017E-01 .101889E-01 .197168E-03 .452204E-04 40 .709715E+00 -.102164E-01 .944294E-02 .317984E-03 .592159E-05 41 .741181E+00 -.956389E-02 .875269E-02 .396552E-03 -.172806E-04 42 .772924E+00 -.894237E-02 .811202E-02 .446505E-03 -.275358E-04 43 .804910E+00 -.835630E-02 .750642E-02 .489990E-03 -.239239E-04 44 .837105E+00 -.780865E-02 .693004E-02 .508701E-03 .890247E-05 45 .869474E+00 -.729273E-02 .638529E-02 .519913E-03 .406486E-04 46 .901983E+00 -.680533E-02 .586214E-02 .544103E-03 .608395E-04 47 .934597E+00 -.633602E-02 .536097E-02 .623988E-03 .328353E-04 48 .967281E+00 -.590449E-02 .487936E-02 .710415E-03 .734327E-05 49 .100000E+01 -.551496E-02 .440428E-02 .791291E-03 .242908E-04 50 .103272E+01 -.514730E-02 .393734E-02 .871809E-03 .486606E-04 51 .106540E+01 -.479727E-02 .349120E-02 .965840E-03 .631810E-04 52 .109802E+01 -.446003E-02 .307628E-02 .106054E-02 .608279E-04 53 .113053E+01 -.414369E-02 .269821E-02 .112760E-02 .670432E-04 54 .116290E+01 -.384570E-02 .236518E-02 .116271E-02 .762591E-04 55 .119509E+01 -.356460E-02 .207644E-02 .116259E-02 .935777E-04 56 .122708E+01 -.329600E-02 .182500E-02 .115692E-02 .959810E-04 57 .125882E+01 -.304662E-02 .159677E-02 .115758E-02 .901578E-04 58 .129028E+01 -.281979E-02 .138709E-02 .116354E-02 .845747E-04 59 .132144E+01 -.261539E-02 .119725E-02 .116877E-02 .838002E-04 60 .135225E+01 -.242987E-02 .102817E-02 .117439E-02 .798244E-04 61 .138268E+01 -.226190E-02 .880984E-03 .117819E-02 .727572E-04 62 .141271E+01 -.211203E-02 .764590E-03 .116552E-02 .652138E-04 63 .144229E+01 -.198345E-02 .688237E-03 .113337E-02 .574740E-04 64 .147140E+01 -.187967E-02 .656036E-03 .107793E-02 .522853E-04 65 .150000E+01 -.180275E-02 .667736E-03 .100003E-02 .539673E-04 66 .152807E+01 -.175179E-02 .722695E-03 .898646E-03 .597336E-04 67 .155557E+01 -.172483E-02 .819096E-03 .784506E-03 .641608E-04 68 .158248E+01 -.172133E-02 .953110E-03 .663562E-03 .608454E-04 69 .160876E+01 -.174495E-02 .111905E-02 .540684E-03 .540512E-04 70 .163439E+01 -.179656E-02 .131160E-02 .413408E-03 .502694E-04 71 .165935E+01 -.187026E-02 .152741E-02 .292779E-03 .384480E-04 72 .168359E+01 -.195962E-02 .176228E-02 .189766E-03 .340542E-05 73 .170711E+01 -.206322E-02 .201126E-02 .109108E-03 -.537517E-04 74 .172986E+01 -.218048E-02 .226715E-02 .444803E-04 -.121536E-03 75 .175184E+01 -.230752E-02 .252227E-02 -.615289E-05 -.192152E-03 76 .177301E+01 -.243495E-02 .276531E-02 -.451069E-04 -.262340E-03 77 .179335E+01 -.255023E-02 .298408E-02 -.741463E-04 -.328884E-03 78 .181285E+01 -.264025E-02 .316412E-02 -.101915E-03 -.383824E-03 79 .183147E+01 -.269127E-02 .329261E-02 -.133222E-03 -.422309E-03 80 .184920E+01 -.268983E-02 .335686E-02 -.172732E-03 -.442794E-03 81 .186603E+01 -.262488E-02 .334891E-02 -.216929E-03 -.451000E-03 82 .188192E+01 -.249212E-02 .326630E-02 -.258741E-03 -.457558E-03 83 .189687E+01 -.230029E-02 .311693E-02 -.285221E-03 -.473112E-03 84 .191086E+01 -.207682E-02 .291634E-02 -.288390E-03 -.494931E-03 85 .192388E+01 -.186838E-02 .268606E-02 -.264922E-03 -.499453E-03 86 .193591E+01 -.173266E-02 .244509E-02 -.222272E-03 -.441635E-03 87 .194693E+01 -.172220E-02 .220642E-02 -.170137E-03 -.270468E-03 88 .195694E+01 -.186747E-02 .197247E-02 -.119593E-03 .519847E-04 89 .196593E+01 -.216845E-02 .173791E-02 -.755481E-04 .537639E-03 90 .197388E+01 -.259902E-02 .149302E-02 -.422564E-04 .117317E-02 91 .198079E+01 -.311863E-02 .123104E-02 -.195998E-04 .192635E-02 92 .198664E+01 -.368315E-02 .953088E-03 -.753769E-05 .275077E-02 93 .199144E+01 -.424856E-02 .671537E-03 -.191359E-05 .358757E-02 94 .199518E+01 -.476898E-02 .408708E-03 -.509515E-06 .436505E-02 95 .199786E+01 -.519458E-02 .192548E-03 .107117E-06 .500388E-02 96 .199946E+01 -.547575E-02 .498703E-04 -.139280E-06 .542509E-02 97 .200000E+01 -.557434E-02 -.675540E-18 .277399E-06 .556440E-02 Budget for uv j y/delta Diss Prod p_strain Pres_diff Turb_diff Visc_diff 1 .000000E+00 .242042E-17 -.312475E-31 .680212E-01 -.680337E-01 .993921E-06 .157791E-05 2 .535413E-03 .269011E-03 -.381881E-08 .679090E-01 -.677693E-01 -.503484E-06 -.402610E-03 3 .214108E-02 .111530E-02 -.911626E-06 .665634E-01 -.660233E-01 -.794639E-06 -.166019E-02 4 .481527E-02 .263562E-02 -.208198E-04 .618132E-01 -.605145E-01 -.298100E-04 -.387999E-02 5 .855514E-02 .488423E-02 -.177335E-03 .522250E-01 -.496628E-01 -.243849E-03 -.703129E-02 6 .133567E-01 .765722E-02 -.863327E-03 .388397E-01 -.339682E-01 -.113161E-02 -.105322E-01 7 .192147E-01 .102993E-01 -.290343E-02 .253052E-01 -.163072E-01 -.341706E-02 -.129840E-01 8 .261230E-01 .118694E-01 -.745149E-02 .164040E-01 -.784740E-03 -.725790E-02 -.127890E-01 9 .340742E-01 .117276E-01 -.154742E-01 .157567E-01 .874041E-02 -.112679E-01 -.950357E-02 10 .430597E-01 .100047E-01 -.270352E-01 .240667E-01 .102890E-01 -.129664E-01 -.440532E-02 11 .530699E-01 .747005E-02 -.409415E-01 .388022E-01 .469577E-02 -.105594E-01 .467739E-03 12 .640941E-01 .499014E-02 -.551228E-01 .555951E-01 -.497953E-02 -.429118E-02 .369548E-02 13 .761205E-01 .310266E-02 -.674801E-01 .702399E-01 -.149091E-01 .391820E-02 .500137E-02 14 .891362E-01 .194156E-02 -.766022E-01 .802002E-01 -.224200E-01 .117949E-01 .490170E-02 15 .103127E+00 .139035E-02 -.819950E-01 .849534E-01 -.264121E-01 .177812E-01 .410738E-02 16 .118079E+00 .126518E-02 -.838971E-01 .853393E-01 -.273193E-01 .212518E-01 .314957E-02 17 .133975E+00 .140922E-02 -.829477E-01 .826671E-01 -.258989E-01 .222773E-01 .229478E-02 18 .150798E+00 .170376E-02 -.799071E-01 .781903E-01 -.231973E-01 .213508E-01 .163520E-02 19 .168530E+00 .206620E-02 -.755195E-01 .727042E-01 -.197630E-01 .191524E-01 .115493E-02 20 .187153E+00 .244172E-02 -.704256E-01 .666953E-01 -.159872E-01 .162508E-01 .813281E-03 21 .206647E+00 .278711E-02 -.651239E-01 .606520E-01 -.122385E-01 .131506E-01 .576957E-03 22 .226990E+00 .308340E-02 -.599680E-01 .548259E-01 -.878588E-02 .102700E-01 .401301E-03 23 .248160E+00 .331276E-02 -.551290E-01 .495239E-01 -.591959E-02 .777704E-02 .281125E-03 24 .270136E+00 .347068E-02 -.506836E-01 .450075E-01 -.378401E-02 .562796E-02 .208756E-03 25 .292893E+00 .357049E-02 -.467085E-01 .410196E-01 -.184636E-02 .365826E-02 .148826E-03 26 .316408E+00 .361355E-02 -.431745E-01 .374048E-01 .405901E-04 .185574E-02 .106044E-03 27 .340654E+00 .360443E-02 -.400281E-01 .341975E-01 .165185E-02 .369388E-03 .788985E-04 28 .365607E+00 .355647E-02 -.372479E-01 .314168E-01 .283364E-02 -.740115E-03 .590350E-04 29 .391239E+00 .348238E-02 -.348105E-01 .290158E-01 .361961E-02 -.146064E-02 .474812E-04 30 .417522E+00 .339394E-02 -.327053E-01 .268469E-01 .421410E-02 -.186907E-02 .324927E-04 31 .444430E+00 .329000E-02 -.308363E-01 .248653E-01 .459420E-02 -.201249E-02 .149535E-04 32 .471932E+00 .316489E-02 -.290649E-01 .230877E-01 .477674E-02 -.202549E-02 .108109E-04 33 .500000E+00 .302270E-02 -.273585E-01 .214954E-01 .478790E-02 -.200396E-02 .104755E-04 34 .528603E+00 .287217E-02 -.257385E-01 .200665E-01 .466658E-02 -.189071E-02 .124511E-04 35 .557711E+00 .272368E-02 -.242346E-01 .187732E-01 .439260E-02 -.167573E-02 .101659E-04 36 .587293E+00 .257699E-02 -.228381E-01 .176019E-01 .412186E-02 -.146004E-02 .395877E-05 37 .617317E+00 .243132E-02 -.214952E-01 .165490E-01 .389393E-02 -.138276E-02 .537105E-05 38 .647750E+00 .229470E-02 -.202308E-01 .155198E-01 .380638E-02 -.138893E-02 .730395E-05 39 .678561E+00 .216979E-02 -.190701E-01 .144044E-01 .394523E-02 -.143694E-02 .599401E-05 40 .709715E+00 .205370E-02 -.179902E-01 .132755E-01 .417301E-02 -.150082E-02 .871892E-06 41 .741181E+00 .193910E-02 -.169322E-01 .122829E-01 .421853E-02 -.148630E-02 .850183E-06 42 .772924E+00 .182455E-02 -.158899E-01 .113625E-01 .414590E-02 -.143137E-02 -.876909E-07 43 .804910E+00 .171006E-02 -.148656E-01 .105211E-01 .404205E-02 -.139214E-02 .945062E-07 44 .837105E+00 .159813E-02 -.138721E-01 .982084E-02 .379516E-02 -.133479E-02 .523026E-07 45 .869474E+00 .149244E-02 -.129252E-01 .921624E-02 .352636E-02 -.129317E-02 -.355350E-06 46 .901983E+00 .139155E-02 -.120211E-01 .864440E-02 .329792E-02 -.129771E-02 -.559485E-06 47 .934597E+00 .129440E-02 -.111568E-01 .807178E-02 .317938E-02 -.136352E-02 .220159E-06 48 .967281E+00 .120324E-02 -.103319E-01 .748699E-02 .310498E-02 -.144610E-02 -.480927E-06 49 .100000E+01 .111739E-02 -.954199E-02 .686340E-02 .317053E-02 -.158152E-02 -.207826E-06 50 .103272E+01 .103746E-02 -.878606E-02 .619264E-02 .334716E-02 -.176568E-02 -.585877E-06 51 .106540E+01 .963203E-03 -.805949E-02 .552046E-02 .356105E-02 -.194792E-02 -.719303E-06 52 .109802E+01 .894757E-03 -.735981E-02 .487727E-02 .372794E-02 -.211137E-02 -.692014E-06 53 .113053E+01 .832037E-03 -.668702E-02 .423724E-02 .392291E-02 -.226462E-02 -.140520E-05 54 .116290E+01 .774176E-03 -.603465E-02 .359730E-02 .411418E-02 -.241677E-02 -.222512E-05 55 .119509E+01 .720600E-03 -.539695E-02 .298721E-02 .429000E-02 -.255591E-02 -.404251E-05 56 .122708E+01 .669249E-03 -.476487E-02 .245825E-02 .433193E-02 -.265938E-02 -.523352E-05 57 .125882E+01 .620014E-03 -.413677E-02 .201162E-02 .428336E-02 -.272793E-02 -.596030E-05 58 .129028E+01 .573408E-03 -.351356E-02 .162424E-02 .413819E-02 -.277759E-02 -.722653E-05 59 .132144E+01 .529152E-03 -.289589E-02 .129076E-02 .394688E-02 -.280528E-02 -.802932E-05 60 .135225E+01 .487179E-03 -.228584E-02 .100587E-02 .365146E-02 -.280793E-02 -.893676E-05 61 .138268E+01 .447196E-03 -.168826E-02 .770020E-03 .332045E-02 -.278343E-02 -.901259E-05 62 .141271E+01 .409388E-03 -.111082E-02 .598410E-03 .287320E-02 -.271594E-02 -.104686E-04 63 .144229E+01 .373628E-03 -.557987E-03 .506780E-03 .236136E-02 -.260475E-02 -.132631E-04 64 .147140E+01 .338632E-03 -.290029E-04 .510740E-03 .171188E-02 -.246538E-02 -.157318E-04 65 .150000E+01 .303347E-03 .473177E-03 .599450E-03 .101071E-02 -.230051E-02 -.171346E-04 66 .152807E+01 .268109E-03 .942381E-03 .741666E-03 .227976E-03 -.210390E-02 -.193034E-04 67 .155557E+01 .233128E-03 .137322E-02 .906173E-03 -.537597E-03 -.188105E-02 -.227970E-04 68 .158248E+01 .198726E-03 .176368E-02 .106102E-02 -.129731E-02 -.164530E-02 -.280611E-04 69 .160876E+01 .165929E-03 .211357E-02 .118162E-02 -.194580E-02 -.141253E-02 -.364140E-04 70 .163439E+01 .135803E-03 .242614E-02 .124276E-02 -.249904E-02 -.120464E-02 -.495455E-04 71 .165935E+01 .108450E-03 .270626E-02 .123409E-02 -.287111E-02 -.104854E-02 -.663804E-04 72 .168359E+01 .835952E-04 .295652E-02 .114820E-02 -.310876E-02 -.952949E-03 -.859849E-04 73 .170711E+01 .612646E-04 .317420E-02 .977027E-03 -.314885E-02 -.906241E-03 -.109344E-03 74 .172986E+01 .410573E-04 .335297E-02 .707720E-03 -.304495E-02 -.888809E-03 -.138331E-03 75 .175184E+01 .224665E-04 .348419E-02 .335790E-03 -.275071E-02 -.882326E-03 -.174386E-03 76 .177301E+01 .502557E-05 .355816E-02 -.133910E-03 -.231993E-02 -.868801E-03 -.218764E-03 77 .179335E+01 -.125266E-04 .356464E-02 -.676410E-03 -.174967E-02 -.834143E-03 -.270142E-03 78 .181285E+01 -.331589E-04 .349387E-02 -.124698E-02 -.110964E-02 -.765104E-03 -.322889E-03 79 .183147E+01 -.615472E-04 .333770E-02 -.179043E-02 -.455792E-03 -.652151E-03 -.366055E-03 80 .184920E+01 -.103170E-03 .309234E-02 -.224879E-02 .148592E-03 -.491914E-03 -.383703E-03 81 .186603E+01 -.162696E-03 .276171E-02 -.258450E-02 .644352E-03 -.296247E-03 -.357045E-03 82 .188192E+01 -.241268E-03 .236074E-02 -.278630E-02 .104269E-02 -.922405E-04 -.270289E-03 83 .189687E+01 -.333648E-03 .191638E-02 -.288843E-02 .134293E-02 .830896E-04 -.119801E-03 84 .191086E+01 -.426895E-03 .146489E-02 -.295960E-02 .165885E-02 .199070E-03 .782557E-04 85 .192388E+01 -.502692E-03 .104495E-02 -.309913E-02 .202140E-02 .242150E-03 .287748E-03 86 .193591E+01 -.543279E-03 .688805E-03 -.339612E-02 .258045E-02 .222907E-03 .463433E-03 87 .194693E+01 -.538592E-03 .414876E-03 -.391715E-02 .329334E-02 .167314E-03 .568179E-03 88 .195694E+01 -.490429E-03 .225171E-03 -.466113E-02 .425172E-02 .105097E-03 .587747E-03 89 .196593E+01 -.411226E-03 .108097E-03 -.557938E-02 .527631E-02 .552099E-04 .533811E-03 90 .197388E+01 -.318340E-03 .447107E-04 -.655804E-02 .639317E-02 .242648E-04 .434680E-03 91 .198079E+01 -.227684E-03 .153248E-04 -.748098E-02 .734318E-02 .852735E-05 .321054E-03 92 .198664E+01 -.149846E-03 .409621E-05 -.822934E-02 .817943E-02 .242430E-05 .215718E-03 93 .199144E+01 -.894945E-04 .771188E-06 -.875198E-02 .868683E-02 .384845E-06 .130702E-03 94 .199518E+01 -.468070E-04 .845284E-07 -.904002E-02 .904135E-02 .118372E-06 .690518E-04 95 .199786E+01 -.195080E-04 .352170E-08 -.915959E-02 .912594E-02 -.656777E-07 .291011E-04 96 .199946E+01 -.466541E-05 .143055E-10 -.918052E-02 .920251E-02 .677873E-07 .670961E-05 97 .200000E+01 -.412215E-19 .622459E-32 -.918223E-02 .913323E-02 -.135536E-06 -.360160E-05 Budget for k j y/delta Diss Prod Pres_diff Turb_diff Visc_diff 1 .000000E+00 -.190469E+00 .163872E-30 .279594E-05 -.397586E-05 .190411E+00 2 .535413E-03 -.188315E+00 .417107E-06 .109283E-02 .260811E-05 .187223E+00 3 .214108E-02 -.182716E+00 .270714E-04 .398419E-02 .375157E-04 .178710E+00 4 .481527E-02 -.175570E+00 .314617E-03 .765874E-02 .452052E-03 .167245E+00 5 .855514E-02 -.168370E+00 .180033E-02 .109635E-01 .247850E-02 .153300E+00 6 .133567E-01 -.161075E+00 .688127E-02 .130607E-01 .872668E-02 .132658E+00 7 .192147E-01 -.152268E+00 .198482E-01 .137324E-01 .212576E-01 .977546E-01 8 .261230E-01 -.141339E+00 .455973E-01 .132264E-01 .364502E-01 .464541E-01 9 .340742E-01 -.130667E+00 .857752E-01 .119757E-01 .431545E-01 -.979826E-02 10 .430597E-01 -.123975E+00 .134878E+00 .102529E-01 .315795E-01 -.522685E-01 11 .530699E-01 -.122406E+00 .181162E+00 .816985E-02 .376367E-02 -.702208E-01 12 .640941E-01 -.123640E+00 .213008E+00 .576729E-02 -.278535E-01 -.668391E-01 13 .761205E-01 -.124467E+00 .225086E+00 .325933E-02 -.510933E-01 -.523991E-01 14 .891362E-01 -.123050E+00 .219352E+00 .956938E-03 -.610117E-01 -.359328E-01 15 .103127E+00 -.119144E+00 .201766E+00 -.799857E-03 -.594093E-01 -.221724E-01 16 .118079E+00 -.113335E+00 .178552E+00 -.187641E-02 -.508321E-01 -.123193E-01 17 .133975E+00 -.106317E+00 .154263E+00 -.230574E-02 -.396231E-01 -.591141E-02 18 .150798E+00 -.986429E-01 .131506E+00 -.225569E-02 -.285057E-01 -.206639E-02 19 .168530E+00 -.907938E-01 .111465E+00 -.186425E-02 -.189529E-01 .128504E-03 20 .187153E+00 -.830662E-01 .944568E-01 -.127308E-02 -.113795E-01 .120123E-02 21 .206647E+00 -.756554E-01 .803523E-01 -.620315E-03 -.577789E-02 .160475E-02 22 .226990E+00 -.687047E-01 .688243E-01 -.128173E-04 -.189400E-02 .166310E-02 23 .248160E+00 -.623386E-01 .594418E-01 .518683E-03 .614987E-03 .160687E-02 24 .270136E+00 -.565939E-01 .518026E-01 .940318E-03 .218496E-02 .147727E-02 25 .292893E+00 -.514527E-01 .456145E-01 .114474E-02 .318440E-02 .131626E-02 26 .316408E+00 -.468187E-01 .405766E-01 .109391E-02 .391960E-02 .102394E-02 27 .340654E+00 -.426872E-01 .364355E-01 .840397E-03 .446527E-02 .724710E-03 28 .365607E+00 -.390394E-01 .330161E-01 .527975E-03 .468446E-02 .558893E-03 29 .391239E+00 -.357925E-01 .301804E-01 .268125E-03 .466108E-02 .415316E-03 30 .417522E+00 -.329191E-01 .278330E-01 .428663E-04 .439671E-02 .348819E-03 31 .444430E+00 -.303586E-01 .258353E-01 -.160667E-03 .403114E-02 .329747E-03 32 .471932E+00 -.280532E-01 .240340E-01 -.337996E-03 .366262E-02 .322815E-03 33 .500000E+00 -.259682E-01 .223718E-01 -.493085E-03 .338293E-02 .302116E-03 34 .528603E+00 -.240520E-01 .208424E-01 -.600364E-03 .316886E-02 .210814E-03 35 .557711E+00 -.222980E-01 .194491E-01 -.640239E-03 .294116E-02 .105784E-03 36 .587293E+00 -.207227E-01 .181705E-01 -.628602E-03 .262926E-02 .955004E-04 37 .617317E+00 -.192675E-01 .169565E-01 -.601511E-03 .239401E-02 .694765E-04 38 .647750E+00 -.179276E-01 .158211E-01 -.580323E-03 .219115E-02 .406460E-04 39 .678561E+00 -.167180E-01 .147812E-01 -.583133E-03 .202889E-02 .322977E-04 40 .709715E+00 -.156108E-01 .138198E-01 -.607021E-03 .190550E-02 .346032E-04 41 .741181E+00 -.145775E-01 .128921E-01 -.615066E-03 .179559E-02 .473215E-04 42 .772924E+00 -.136136E-01 .119891E-01 -.640855E-03 .174659E-02 .688327E-04 43 .804910E+00 -.127085E-01 .111097E-01 -.701864E-03 .177039E-02 .950247E-04 44 .837105E+00 -.118558E-01 .102615E-01 -.799645E-03 .185332E-02 .109018E-03 45 .869474E+00 -.110585E-01 .945462E-02 -.896055E-03 .196742E-02 .112636E-03 46 .901983E+00 -.103126E-01 .868618E-02 -.980856E-03 .208358E-02 .104101E-03 47 .934597E+00 -.961494E-02 .795389E-02 -.105016E-02 .224579E-02 .672958E-04 48 .967281E+00 -.897229E-02 .725623E-02 -.111396E-02 .241754E-02 .275736E-04 49 .100000E+01 -.838621E-02 .658919E-02 -.118868E-02 .258826E-02 .269935E-04 50 .103272E+01 -.784338E-02 .595276E-02 -.127782E-02 .275753E-02 .412421E-04 51 .106540E+01 -.733394E-02 .534533E-02 -.136323E-02 .294496E-02 .447208E-04 52 .109802E+01 -.685170E-02 .476592E-02 -.143619E-02 .313463E-02 .325188E-04 53 .113053E+01 -.639869E-02 .421452E-02 -.147941E-02 .329467E-02 .235321E-04 54 .116290E+01 -.597506E-02 .368782E-02 -.149171E-02 .341287E-02 .257051E-04 55 .119509E+01 -.558155E-02 .318372E-02 -.148231E-02 .349423E-02 .536927E-04 56 .122708E+01 -.521233E-02 .269899E-02 -.146590E-02 .357866E-02 .763631E-04 57 .125882E+01 -.487341E-02 .223545E-02 -.145034E-02 .368478E-02 .900001E-04 58 .129028E+01 -.456910E-02 .179702E-02 -.143028E-02 .379533E-02 .102555E-03 59 .132144E+01 -.429789E-02 .138819E-02 -.139821E-02 .389598E-02 .115642E-03 60 .135225E+01 -.405768E-02 .101458E-02 -.134291E-02 .397418E-02 .129530E-03 61 .138268E+01 -.384716E-02 .683043E-03 -.126224E-02 .401146E-02 .146539E-03 62 .141271E+01 -.366598E-02 .401041E-03 -.114369E-02 .398915E-02 .160855E-03 63 .144229E+01 -.351775E-02 .174407E-03 -.992595E-03 .390461E-02 .178599E-03 64 .147140E+01 -.340557E-02 .749758E-05 -.805320E-03 .375997E-02 .202038E-03 65 .150000E+01 -.332894E-02 -.937206E-04 -.595191E-03 .356114E-02 .225777E-03 66 .152807E+01 -.328504E-02 -.122633E-03 -.357491E-03 .330886E-02 .239732E-03 67 .155557E+01 -.327497E-02 -.732554E-04 -.103505E-03 .301116E-02 .242823E-03 68 .158248E+01 -.330139E-02 .597654E-04 .167425E-03 .266588E-02 .237183E-03 69 .160876E+01 -.336744E-02 .281920E-03 .431576E-03 .227537E-02 .227736E-03 70 .163439E+01 -.347462E-02 .599459E-03 .683228E-03 .184685E-02 .216542E-03 71 .165935E+01 -.362120E-02 .102002E-02 .897099E-03 .139832E-02 .198831E-03 72 .168359E+01 -.380456E-02 .155197E-02 .107026E-02 .936695E-03 .165897E-03 73 .170711E+01 -.402261E-02 .220151E-02 .118636E-02 .462310E-03 .113611E-03 74 .172986E+01 -.426972E-02 .296951E-02 .125336E-02 -.287396E-04 .380422E-04 75 .175184E+01 -.453298E-02 .384733E-02 .126650E-02 -.527787E-03 -.752993E-04 76 .177301E+01 -.479253E-02 .481203E-02 .124267E-02 -.102092E-02 -.247231E-03 77 .179335E+01 -.502481E-02 .581966E-02 .118397E-02 -.147922E-02 -.494767E-03 78 .181285E+01 -.520422E-02 .679832E-02 .111164E-02 -.185935E-02 -.830175E-03 79 .183147E+01 -.530495E-02 .764390E-02 .103177E-02 -.209019E-02 -.125862E-02 80 .184920E+01 -.530879E-02 .822607E-02 .964610E-03 -.209618E-02 -.175746E-02 81 .186603E+01 -.521662E-02 .841097E-02 .908843E-03 -.182241E-02 -.225209E-02 82 .188192E+01 -.505698E-02 .810221E-02 .875911E-03 -.128315E-02 -.260675E-02 83 .189687E+01 -.488422E-02 .728817E-02 .855917E-03 -.580535E-03 -.265058E-02 84 .191086E+01 -.476162E-02 .607016E-02 .856833E-03 .105626E-03 -.224106E-02 85 .192388E+01 -.473480E-02 .464582E-02 .866073E-03 .596549E-03 -.134689E-02 86 .193591E+01 -.481119E-02 .324654E-02 .889132E-03 .793903E-03 -.907644E-04 87 .194693E+01 -.496238E-02 .205998E-02 .908432E-03 .729970E-03 .128836E-02 88 .195694E+01 -.514950E-02 .118007E-02 .922306E-03 .524097E-03 .254767E-02 89 .196593E+01 -.535171E-02 .605662E-03 .907692E-03 .306494E-03 .355258E-02 90 .197388E+01 -.557418E-02 .275057E-03 .860854E-03 .147329E-03 .431052E-02 91 .198079E+01 -.583303E-02 .108174E-03 .765368E-03 .589239E-04 .491501E-02 92 .198664E+01 -.613574E-02 .354663E-04 .631457E-03 .186861E-04 .546229E-02 93 .199144E+01 -.647104E-02 .904497E-05 .463704E-03 .492827E-05 .600019E-02 94 .199518E+01 -.680834E-02 .156535E-05 .293107E-03 .557671E-06 .651809E-02 95 .199786E+01 -.710291E-02 .134210E-06 .139583E-03 .300204E-06 .696399E-02 96 .199946E+01 -.730580E-02 .206431E-08 .378708E-04 -.232333E-06 .726860E-02 97 .200000E+01 -.737838E-02 -.101414E-32 -.200278E-05 .466569E-06 .737145E-02 Budget for Dissipation Rate of k j y/delta Prod_mean_grad Mixed_prod Grad_prod Turb_prod Pres_trans Turb_ trans Visc_trans Diss 1 .000000E+00 .242042E-17 .279899E-17 .650266E-19 -.448060E-18 -.801308E-03 .208530E-06 .267607E-01 -.265129E-01 2 .535413E-03 .268918E-03 -.227336E-05 -.466927E-07 .297342E-03 -.693791E-03 .983165E-04 .243652E-01 -.228289E-01 3 .214108E-02 .111373E-02 -.260546E-04 -.820140E-06 .120773E-02 -.419588E-03 .394265E-03 .184204E-01 -.191743E-01 4 .481527E-02 .262661E-02 -.610971E-04 -.540437E-05 .277816E-02 -.822752E-04 .891407E-03 .112204E-01 -.158190E-01 5 .855514E-02 .484847E-02 .353721E-04 -.272573E-04 .492686E-02 .198799E-03 .147084E-02 .455015E-02 -.144351E-01 6 .133567E-01 .753788E-02 .544984E-03 -.114736E-03 .707888E-02 .355547E-03 .157505E-02 -.473623E-04 -.153743E-01 7 .192147E-01 .996070E-02 .173568E-02 -.372095E-03 .823591E-02 .383641E-03 .590302E-03 -.883175E-03 -.181712E-01 8 .261230E-01 .110911E-01 .362803E-02 -.866548E-03 .803906E-02 .327285E-03 -.830428E-03 .142492E-02 -.214653E-01 9 .340742E-01 .103292E-01 .586299E-02 -.139122E-02 .733826E-02 .234936E-03 -.124482E-02 .343006E-02 -.233530E-01 10 .430597E-01 .805196E-02 .782742E-02 -.146742E-02 .712372E-02 .143422E-03 -.580348E-03 .299388E-02 -.229888E-01 11 .530699E-01 .531365E-02 .898153E-02 -.836153E-03 .750462E-02 .749464E-04 -.478899E-04 .117220E-02 -.211121E-01 12 .640941E-01 .304112E-02 .913400E-02 .197351E-03 .801578E-02 .314395E-04 -.301445E-03 -.235049E-03 -.188623E-01 13 .761205E-01 .157942E-02 .846213E-02 .107941E-02 .831262E-02 .417006E-05 -.935531E-03 -.694157E-03 -.168113E-01 14 .891362E-01 .811149E-03 .732287E-02 .149733E-02 .834459E-02 -.203940E-04 -.137167E-02 -.593568E-03 -.150375E-01 15 .103127E+00 .472101E-03 .604792E-02 .148694E-02 .817832E-02 -.438328E-04 -.141778E-02 -.345045E-03 -.134860E-01 16 .118079E+00 .348142E-03 .484771E-02 .124208E-02 .787468E-02 -.646569E-04 -.119134E-02 -.152521E-03 -.120982E-01 17 .133975E+00 .314972E-03 .381600E-02 .935403E-03 .746180E-02 -.769286E-04 -.850764E-03 -.406682E-04 -.108445E-01 18 .150798E+00 .311143E-03 .297379E-02 .660267E-03 .695529E-02 -.797400E-04 -.527150E-03 .400090E-04 -.971042E-02 19 .168530E+00 .310949E-03 .230734E-02 .447128E-03 .638798E-02 -.766331E-04 -.260385E-03 .705763E-04 -.866209E-02 20 .187153E+00 .306013E-03 .178950E-02 .294990E-03 .578980E-02 -.682334E-04 -.592747E-04 .847507E-04 -.770240E-02 21 .206647E+00 .294408E-03 .139140E-02 .191444E-03 .518291E-02 -.591074E-04 .886391E-04 .882556E-04 -.682557E-02 22 .226990E+00 .278180E-03 .108731E-02 .123174E-03 .458031E-02 -.485132E-04 .194175E-03 .919134E-04 -.603080E-02 23 .248160E+00 .258673E-03 .856270E-03 .793759E-04 .402280E-02 -.389009E-04 .259274E-03 .833802E-04 -.531080E-02 24 .270136E+00 .237615E-03 .681379E-03 .511798E-04 .352911E-02 -.316938E-04 .278850E-03 .740197E-04 -.466912E-02 25 .292893E+00 .217283E-03 .548596E-03 .331245E-04 .309542E-02 -.227982E-04 .280876E-03 .557659E-04 -.410425E-02 26 .316408E+00 .198021E-03 .446632E-03 .218362E-04 .270945E-02 -.127150E-04 .268115E-03 .515185E-04 -.361784E-02 27 .340654E+00 .179974E-03 .367729E-03 .145769E-04 .237604E-02 -.294422E-05 .245963E-03 .457495E-04 -.319316E-02 28 .365607E+00 .163630E-03 .306429E-03 .984621E-05 .209115E-02 .312543E-05 .223365E-03 .346049E-04 -.282277E-02 29 .391239E+00 .149223E-03 .258540E-03 .668818E-05 .184547E-02 .433937E-05 .197775E-03 .311200E-04 -.250311E-02 30 .417522E+00 .136906E-03 .220871E-03 .460573E-05 .163642E-02 .495308E-05 .175356E-03 .242882E-04 -.222636E-02 31 .444430E+00 .125956E-03 .190608E-03 .344112E-05 .145601E-02 .565690E-05 .151852E-03 .189037E-04 -.198704E-02 32 .471932E+00 .115414E-03 .165317E-03 .280578E-05 .129732E-02 .489928E-05 .133266E-03 .159523E-04 -.177705E-02 33 .500000E+00 .105204E-03 .143802E-03 .234102E-05 .115988E-02 .506477E-05 .115432E-03 .115108E-04 -.159226E-02 34 .528603E+00 .956268E-04 .125442E-03 .197061E-05 .103662E-02 .486782E-05 .103304E-03 .104312E-04 -.143094E-02 35 .557711E+00 .870248E-04 .109929E-03 .163803E-05 .927848E-03 .440453E-05 .911868E-04 .116204E-04 -.128972E-02 36 .587293E+00 .792364E-04 .969735E-04 .145322E-05 .835496E-03 .384881E-05 .826447E-04 .685883E-05 -.116274E-02 37 .617317E+00 .719689E-04 .858638E-04 .133111E-05 .751775E-03 .358545E-05 .725399E-04 .668896E-05 -.105090E-02 38 .647750E+00 .654885E-04 .762890E-04 .116627E-05 .676433E-03 .237376E-05 .658358E-04 .738911E-05 -.951091E-03 39 .678561E+00 .598893E-04 .680809E-04 .100113E-05 .611296E-03 .245669E-05 .586410E-04 .549312E-05 -.862392E-03 40 .709715E+00 .549659E-04 .608909E-04 .925896E-06 .553451E-03 .228015E-05 .528236E-04 .379919E-05 -.783739E-03 41 .741181E+00 .503043E-04 .543797E-04 .930858E-06 .500586E-03 .945969E-06 .488644E-04 .366890E-05 -.712714E-03 42 .772924E+00 .458230E-04 .485045E-04 .938293E-06 .452946E-03 -.144352E-06 .453358E-04 .293558E-05 -.647665E-03 43 .804910E+00 .415132E-04 .431618E-04 .958923E-06 .409390E-03 -.684982E-06 .428363E-04 .254368E-05 -.588555E-03 44 .837105E+00 .374600E-04 .383556E-04 .937777E-06 .369697E-03 -.660147E-06 .403828E-04 .267733E-05 -.534531E-03 45 .869474E+00 .337724E-04 .340474E-04 .906333E-06 .334311E-03 -.501850E-06 .373753E-04 .238188E-05 -.485786E-03 46 .901983E+00 .303881E-04 .301608E-04 .876085E-06 .302058E-03 -.528008E-06 .370688E-04 .213685E-05 -.442171E-03 47 .934597E+00 .272614E-04 .266937E-04 .845908E-06 .272807E-03 -.324595E-06 .347479E-04 .244149E-05 -.403131E-03 48 .967281E+00 .244215E-04 .235899E-04 .820831E-06 .247583E-03 -.505216E-06 .340863E-04 .254138E-05 -.368040E-03 49 .100000E+01 .218250E-04 .207162E-04 .807994E-06 .225605E-03 -.320602E-06 .316588E-04 .180585E-05 -.336004E-03 50 .103272E+01 .194697E-04 .180394E-04 .792464E-06 .205715E-03 .266375E-06 .300365E-04 .142073E-05 -.307219E-03 51 .106540E+01 .173309E-04 .155463E-04 .794159E-06 .187737E-03 .628631E-06 .279791E-04 .106218E-05 -.281038E-03 52 .109802E+01 .153937E-04 .132360E-04 .794846E-06 .171333E-03 .821222E-06 .263563E-04 .123931E-05 -.257228E-03 53 .113053E+01 .136423E-04 .111253E-04 .815587E-06 .156226E-03 .951941E-06 .250457E-04 .115976E-05 -.235367E-03 54 .116290E+01 .120373E-04 .918525E-05 .856079E-06 .142396E-03 .662226E-06 .243085E-04 .130155E-05 -.215178E-03 55 .119509E+01 .105488E-04 .738665E-05 .930420E-06 .129675E-03 .325997E-06 .234699E-04 .875882E-06 -.196180E-03 56 .122708E+01 .912272E-05 .572891E-05 .103643E-05 .117379E-03 .100026E-06 .231904E-04 .127955E-05 -.178963E-03 57 .125882E+01 .775265E-05 .422072E-05 .116000E-05 .106400E-03 .186194E-06 .225013E-04 .147682E-05 -.163448E-03 58 .129028E+01 .644592E-05 .287654E-05 .130455E-05 .971679E-04 .354469E-06 .219838E-04 .142042E-05 -.149729E-03 59 .132144E+01 .519957E-05 .171838E-05 .147497E-05 .891680E-04 .509427E-06 .213807E-04 .133432E-05 -.137664E-03 60 .135225E+01 .401644E-05 .775235E-06 .167045E-05 .821982E-04 .653072E-06 .209796E-04 .132287E-05 -.127279E-03 61 .138268E+01 .290198E-05 .876471E-07 .189052E-05 .762371E-04 .792180E-06 .202875E-04 .130795E-05 -.118328E-03 62 .141271E+01 .186844E-05 -.304963E-06 .213750E-05 .711090E-04 .883699E-06 .199783E-04 .158553E-05 -.110641E-03 63 .144229E+01 .918525E-06 -.360979E-06 .244812E-05 .669399E-04 .948884E-06 .192362E-04 .181943E-05 -.104207E-03 64 .147140E+01 .465574E-07 -.310405E-07 .283992E-05 .637449E-04 .100850E-05 .184192E-04 .188917E-05 -.990336E-04 65 .150000E+01 -.734838E-06 .735081E-06 .331039E-05 .614660E-04 .104698E-05 .172745E-04 .177019E-05 -.950770E-04 66 .152807E+01 -.140274E-05 .199092E-05 .386552E-05 .599254E-04 .102850E-05 .164149E-04 .197717E-05 -.925836E-04 67 .155557E+01 -.193630E-05 .379557E-05 .453904E-05 .590990E-04 .850135E-06 .150607E-04 .226229E-05 -.914717E-04 68 .158248E+01 -.232093E-05 .622330E-05 .537089E-05 .589932E-04 .461651E-06 .136949E-04 .265146E-05 -.916951E-04 69 .160876E+01 -.255614E-05 .936838E-05 .641981E-05 .595867E-04 .725307E-07 .119627E-04 .296546E-05 -.931199E-04 70 .163439E+01 -.265837E-05 .133555E-04 .777819E-05 .607794E-04 -.499588E-06 .103711E-04 .307690E-05 -.957955E-04 71 .165935E+01 -.263788E-05 .183407E-04 .953823E-05 .624197E-04 -.979940E-06 .791867E-05 .313442E-05 -.999468E-04 72 .168359E+01 -.249194E-05 .245074E-04 .117485E-04 .644035E-04 -.145222E-05 .491054E-05 .331094E-05 -.105769E-03 73 .170711E+01 -.221725E-05 .320502E-04 .144185E-04 .667354E-04 -.177247E-05 .121117E-05 .319972E-05 -.113181E-03 74 .172986E+01 -.179146E-05 .411512E-04 .175185E-04 .694434E-04 -.203515E-05 -.261753E-05 .236569E-05 -.122039E-03 75 .175184E+01 -.117521E-05 .519348E-04 .209186E-04 .724050E-04 -.222339E-05 -.699966E-05 .634036E-06 -.132252E-03 76 .177301E+01 -.313656E-06 .644097E-04 .243128E-04 .752255E-04 -.232598E-05 -.111027E-04 -.182182E-05 -.143759E-03 77 .179335E+01 .928687E-06 .783691E-04 .271040E-04 .774667E-04 -.226018E-05 -.146251E-04 -.506451E-05 -.156271E-03 78 .181285E+01 .290665E-05 .932639E-04 .283399E-04 .788193E-04 -.193901E-05 -.160425E-04 -.917101E-05 -.169437E-03 79 .183147E+01 .634343E-05 .108049E-03 .267997E-04 .790307E-04 -.144072E-05 -.149707E-04 -.133062E-04 -.183102E-03 80 .184920E+01 .124109E-04 .121096E-03 .214165E-04 .777912E-04 -.880044E-06 -.108740E-04 -.154894E-04 -.197406E-03 81 .186603E+01 .226233E-04 .130266E-03 .119836E-04 .747950E-04 -.317081E-06 -.538594E-05 -.132560E-04 -.212384E-03 82 .188192E+01 .383082E-04 .133302E-03 -.136476E-06 .700022E-04 .269435E-06 -.717011E-06 -.477882E-05 -.227486E-03 83 .189687E+01 .596152E-04 .128524E-03 -.120165E-04 .640385E-04 .954889E-06 -.111916E-06 .902046E-05 -.241041E-03 84 .191086E+01 .844494E-04 .115617E-03 -.203183E-04 .583471E-04 .182469E-05 -.385151E-05 .235200E-04 -.249903E-03 85 .192388E+01 .108252E-03 .960453E-04 -.230982E-04 .546560E-04 .285020E-05 -.956833E-05 .317647E-04 -.250537E-03 86 .193591E+01 .125287E-03 .727705E-04 -.208338E-04 .537027E-04 .395139E-05 -.120344E-04 .297564E-04 -.241124E-03 87 .194693E+01 .131066E-03 .493502E-04 -.157907E-04 .541156E-04 .493530E-05 -.875117E-05 .211386E-04 -.223711E-03 88 .195694E+01 .124387E-03 .289206E-04 -.104081E-04 .528865E-04 .558324E-05 -.123001E-05 .171537E-04 -.204110E-03 89 .196593E+01 .107648E-03 .134949E-04 -.612282E-05 .476363E-04 .571344E-05 .524150E-05 .287223E-04 -.188848E-03 90 .197388E+01 .853773E-04 .370582E-05 -.327040E-05 .385192E-04 .505689E-05 .796086E-05 .587076E-04 -.182510E-03 91 .198079E+01 .622226E-04 -.107228E-05 -.158964E-05 .277928E-04 .363802E-05 .704753E-05 .103231E-03 -.188043E-03 92 .198664E+01 .415575E-04 -.231337E-05 -.690531E-06 .179341E-04 .126693E-05 .499909E-05 .158526E-03 -.208377E-03 93 .199144E+01 .251058E-04 -.175301E-05 -.256151E-06 .103314E-04 -.156259E-05 .290061E-05 .222291E-03 -.244771E-03 94 .199518E+01 .132449E-04 -.804220E-06 -.740861E-07 .519791E-05 -.484007E-05 .159233E-05 .291628E-03 -.293752E-03 95 .199786E+01 .555389E-05 -.200716E-06 -.135836E-07 .210127E-05 -.754779E-05 .607518E-06 .355425E-03 -.345087E-03 96 .199946E+01 .133307E-05 -.143053E-07 -.807321E-09 .493881E-06 -.969857E-05 .211025E-06 .406842E-03 -.384579E-03 97 .200000E+01 .117926E-19 .463572E-19 .771242E-20 -.442629E-20 -.106275E-04 -.986787E-07 .433005E-03 -.164139E-02 4.3 One-dimensional Energy Spectra at Several Points 4.3.2 Streamwise Power Spectra at y/delta = 7.612050E-02 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .122257E+01 .766156E-02 .535381E-01 .400000E+00 .169012E+01 .144350E-01 .116817E+00 .800000E+00 .105024E+01 .122400E-01 .107811E+00 .120000E+01 .686966E+00 .111206E-01 .839126E-01 .160000E+01 .493937E+00 .988217E-02 .728556E-01 .200000E+01 .342423E+00 .849831E-02 .625828E-01 .240000E+01 .262154E+00 .757911E-02 .515436E-01 .280000E+01 .196267E+00 .677031E-02 .457161E-01 .320000E+01 .150849E+00 .589101E-02 .378798E-01 .360000E+01 .120121E+00 .518396E-02 .327112E-01 .400000E+01 .941972E-01 .467125E-02 .281487E-01 .440000E+01 .742065E-01 .405341E-02 .245528E-01 .480000E+01 .611727E-01 .365664E-02 .218507E-01 .520000E+01 .490987E-01 .326460E-02 .188805E-01 .560000E+01 .395305E-01 .287659E-02 .158247E-01 .600000E+01 .324700E-01 .257708E-02 .137151E-01 .640000E+01 .263985E-01 .226681E-02 .119196E-01 .680000E+01 .214213E-01 .200475E-02 .994722E-02 .720000E+01 .178758E-01 .175528E-02 .855561E-02 .760000E+01 .147018E-01 .159256E-02 .730822E-02 .800000E+01 .123769E-01 .143223E-02 .645796E-02 .840000E+01 .102662E-01 .128992E-02 .553298E-02 .880000E+01 .871416E-02 .114963E-02 .477461E-02 .920000E+01 .728147E-02 .101209E-02 .406771E-02 .960000E+01 .620138E-02 .908094E-03 .350110E-02 .100000E+02 .527843E-02 .819636E-03 .309676E-02 .104000E+02 .447509E-02 .726754E-03 .263605E-02 .108000E+02 .382712E-02 .663430E-03 .232361E-02 .112000E+02 .327204E-02 .596024E-03 .198120E-02 .116000E+02 .280537E-02 .540090E-03 .175742E-02 .120000E+02 .240304E-02 .487869E-03 .152777E-02 .124000E+02 .209351E-02 .442889E-03 .133588E-02 .128000E+02 .181734E-02 .401616E-03 .117035E-02 .132000E+02 .157683E-02 .360146E-03 .104065E-02 .136000E+02 .138593E-02 .329301E-03 .908995E-03 .140000E+02 .121784E-02 .301113E-03 .810781E-03 .144000E+02 .106582E-02 .270393E-03 .718515E-03 .148000E+02 .942135E-03 .246369E-03 .642707E-03 .152000E+02 .827248E-03 .227717E-03 .574680E-03 .156000E+02 .735797E-03 .207302E-03 .509202E-03 .160000E+02 .659276E-03 .190510E-03 .458448E-03 .164000E+02 .585940E-03 .173826E-03 .407892E-03 .168000E+02 .521483E-03 .159476E-03 .368084E-03 .172000E+02 .470512E-03 .147262E-03 .332018E-03 .176000E+02 .420119E-03 .135606E-03 .300166E-03 .180000E+02 .384691E-03 .125456E-03 .272303E-03 .184000E+02 .345693E-03 .115812E-03 .247555E-03 .188000E+02 .315068E-03 .107912E-03 .227930E-03 .192000E+02 .285469E-03 .100126E-03 .206713E-03 .196000E+02 .262589E-03 .928555E-04 .190240E-03 .200000E+02 .241118E-03 .863403E-04 .173573E-03 .204000E+02 .219646E-03 .795980E-04 .160808E-03 .208000E+02 .202633E-03 .751317E-04 .148879E-03 .212000E+02 .190293E-03 .701333E-04 .138510E-03 .216000E+02 .176376E-03 .652273E-04 .128443E-03 .220000E+02 .165552E-03 .614133E-04 .120365E-03 .224000E+02 .155855E-03 .576837E-04 .112793E-03 .228000E+02 .146196E-03 .536903E-04 .106103E-03 .232000E+02 .138018E-03 .499773E-04 .986283E-04 .236000E+02 .130206E-03 .466665E-04 .926492E-04 .240000E+02 .124182E-03 .430973E-04 .870294E-04 .244000E+02 .119683E-03 .394724E-04 .820451E-04 .248000E+02 .116993E-03 .369263E-04 .788833E-04 .252000E+02 .119354E-03 .354908E-04 .802053E-04 at y/delta = 5.000000E-01 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .369749E+00 .388794E-01 .255778E-01 .400000E+00 .431786E+00 .689063E-01 .710370E-01 .800000E+00 .364371E+00 .648231E-01 .101813E+00 .120000E+01 .221325E+00 .524587E-01 .947081E-01 .160000E+01 .173399E+00 .497415E-01 .880316E-01 .200000E+01 .132119E+00 .461530E-01 .803910E-01 .240000E+01 .102417E+00 .414824E-01 .734856E-01 .280000E+01 .824525E-01 .380749E-01 .678538E-01 .320000E+01 .672379E-01 .352238E-01 .589665E-01 .360000E+01 .554737E-01 .311163E-01 .501000E-01 .400000E+01 .461243E-01 .283579E-01 .471299E-01 .440000E+01 .383945E-01 .267441E-01 .416077E-01 .480000E+01 .326952E-01 .240314E-01 .387521E-01 .520000E+01 .273438E-01 .210482E-01 .332259E-01 .560000E+01 .230968E-01 .194515E-01 .296670E-01 .600000E+01 .202778E-01 .177390E-01 .268122E-01 .640000E+01 .171818E-01 .157506E-01 .232844E-01 .680000E+01 .149335E-01 .143088E-01 .209561E-01 .720000E+01 .129984E-01 .129226E-01 .191607E-01 .760000E+01 .114274E-01 .117991E-01 .167263E-01 .800000E+01 .993126E-02 .106628E-01 .150126E-01 .840000E+01 .869843E-02 .954368E-02 .133167E-01 .880000E+01 .761590E-02 .871070E-02 .118848E-01 .920000E+01 .672124E-02 .784236E-02 .107611E-01 .960000E+01 .604217E-02 .730753E-02 .983061E-02 .100000E+02 .535504E-02 .667621E-02 .884847E-02 .104000E+02 .484364E-02 .600410E-02 .785578E-02 .108000E+02 .434621E-02 .548400E-02 .728925E-02 .112000E+02 .387372E-02 .499364E-02 .650525E-02 .116000E+02 .346686E-02 .449815E-02 .592380E-02 .120000E+02 .319042E-02 .416621E-02 .532512E-02 .124000E+02 .288769E-02 .378864E-02 .492046E-02 .128000E+02 .260458E-02 .351005E-02 .452172E-02 .132000E+02 .237274E-02 .326248E-02 .410387E-02 .136000E+02 .214853E-02 .298596E-02 .369872E-02 .140000E+02 .197056E-02 .271638E-02 .348288E-02 .144000E+02 .182393E-02 .251862E-02 .318487E-02 .148000E+02 .167464E-02 .231293E-02 .291338E-02 .152000E+02 .153440E-02 .218909E-02 .269667E-02 .156000E+02 .141943E-02 .204876E-02 .246339E-02 .160000E+02 .129850E-02 .190938E-02 .234407E-02 .164000E+02 .120964E-02 .175578E-02 .212353E-02 .168000E+02 .111271E-02 .164904E-02 .199063E-02 .172000E+02 .103490E-02 .153298E-02 .185847E-02 .176000E+02 .962604E-03 .144349E-02 .172051E-02 .180000E+02 .900751E-03 .136802E-02 .163367E-02 .184000E+02 .850890E-03 .125559E-02 .151761E-02 .188000E+02 .790553E-03 .120107E-02 .142547E-02 .192000E+02 .741367E-03 .113574E-02 .135436E-02 .196000E+02 .706428E-03 .107839E-02 .125129E-02 .200000E+02 .662309E-03 .102459E-02 .117949E-02 .204000E+02 .633020E-03 .959992E-03 .113165E-02 .208000E+02 .599042E-03 .912242E-03 .107469E-02 .212000E+02 .575026E-03 .884621E-03 .104108E-02 .216000E+02 .550766E-03 .846619E-03 .976902E-03 .220000E+02 .526596E-03 .822751E-03 .944858E-03 .224000E+02 .509459E-03 .774895E-03 .896059E-03 .228000E+02 .488161E-03 .758955E-03 .867113E-03 .232000E+02 .470249E-03 .736956E-03 .831668E-03 .236000E+02 .456663E-03 .715540E-03 .805824E-03 .240000E+02 .446599E-03 .703330E-03 .773539E-03 .244000E+02 .432736E-03 .689561E-03 .741255E-03 .248000E+02 .421988E-03 .674035E-03 .728202E-03 .252000E+02 .420174E-03 .666872E-03 .724128E-03 at y/delta = 1.000000 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .194798E+00 .155149E-01 .124774E-01 .400000E+00 .240950E+00 .326960E-01 .398214E-01 .800000E+00 .161379E+00 .356678E-01 .516131E-01 .120000E+01 .131926E+00 .357222E-01 .527591E-01 .160000E+01 .994756E-01 .342111E-01 .532474E-01 .200000E+01 .680052E-01 .318581E-01 .465829E-01 .240000E+01 .534789E-01 .306351E-01 .428928E-01 .280000E+01 .403292E-01 .290371E-01 .366382E-01 .320000E+01 .329535E-01 .272834E-01 .328554E-01 .360000E+01 .261054E-01 .245061E-01 .297363E-01 .400000E+01 .208790E-01 .200901E-01 .255155E-01 .440000E+01 .167854E-01 .181597E-01 .225818E-01 .480000E+01 .144388E-01 .158907E-01 .187979E-01 .520000E+01 .114820E-01 .145797E-01 .169568E-01 .560000E+01 .945825E-02 .129675E-01 .143994E-01 .600000E+01 .839838E-02 .112525E-01 .131178E-01 .640000E+01 .701362E-02 .101175E-01 .110907E-01 .680000E+01 .585989E-02 .915464E-02 .100558E-01 .720000E+01 .523752E-02 .783458E-02 .915200E-02 .760000E+01 .442849E-02 .707015E-02 .764863E-02 .800000E+01 .374358E-02 .618825E-02 .676129E-02 .840000E+01 .324420E-02 .570500E-02 .616413E-02 .880000E+01 .286309E-02 .484642E-02 .526661E-02 .920000E+01 .249615E-02 .446622E-02 .474349E-02 .960000E+01 .223925E-02 .410278E-02 .431259E-02 .100000E+02 .193348E-02 .343290E-02 .375411E-02 .104000E+02 .170490E-02 .319385E-02 .337051E-02 .108000E+02 .153479E-02 .283823E-02 .301491E-02 .112000E+02 .134929E-02 .252998E-02 .264610E-02 .116000E+02 .120553E-02 .229340E-02 .244897E-02 .120000E+02 .108746E-02 .214465E-02 .222623E-02 .124000E+02 .968171E-03 .191366E-02 .204040E-02 .128000E+02 .870681E-03 .172110E-02 .180690E-02 .132000E+02 .790701E-03 .161749E-02 .162631E-02 .136000E+02 .702663E-03 .139762E-02 .146935E-02 .140000E+02 .638576E-03 .127050E-02 .134565E-02 .144000E+02 .559821E-03 .117742E-02 .123078E-02 .148000E+02 .513753E-03 .109044E-02 .112386E-02 .152000E+02 .471728E-03 .992685E-03 .101636E-02 .156000E+02 .425074E-03 .890992E-03 .948205E-03 .160000E+02 .391863E-03 .837066E-03 .871465E-03 .164000E+02 .355932E-03 .770690E-03 .801881E-03 .168000E+02 .329160E-03 .706076E-03 .746657E-03 .172000E+02 .301408E-03 .660492E-03 .685736E-03 .176000E+02 .275766E-03 .612568E-03 .634528E-03 .180000E+02 .256737E-03 .562747E-03 .573624E-03 .184000E+02 .239865E-03 .535175E-03 .555624E-03 .188000E+02 .221262E-03 .496165E-03 .519947E-03 .192000E+02 .202956E-03 .460966E-03 .471957E-03 .196000E+02 .191997E-03 .435954E-03 .449242E-03 .200000E+02 .179595E-03 .406848E-03 .432015E-03 .204000E+02 .165234E-03 .386477E-03 .406968E-03 .208000E+02 .158031E-03 .367850E-03 .380383E-03 .212000E+02 .150350E-03 .348165E-03 .360375E-03 .216000E+02 .142588E-03 .332036E-03 .338075E-03 .220000E+02 .134859E-03 .319156E-03 .331592E-03 .224000E+02 .127211E-03 .307141E-03 .309521E-03 .228000E+02 .123056E-03 .296871E-03 .299769E-03 .232000E+02 .116051E-03 .283808E-03 .290397E-03 .236000E+02 .110519E-03 .267208E-03 .269010E-03 .240000E+02 .104196E-03 .262102E-03 .255443E-03 .244000E+02 .100070E-03 .249860E-03 .247431E-03 .248000E+02 .919658E-04 .235432E-03 .232371E-03 .252000E+02 .872938E-04 .221733E-03 .222301E-03 at y/delta = 1.500000 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .938459E-01 .604587E-02 .925731E-02 .400000E+00 .102790E+00 .120440E-01 .333806E-01 .800000E+00 .632628E-01 .125127E-01 .366731E-01 .120000E+01 .530306E-01 .131923E-01 .365816E-01 .160000E+01 .390945E-01 .125407E-01 .311678E-01 .200000E+01 .298773E-01 .125436E-01 .237090E-01 .240000E+01 .230128E-01 .128281E-01 .194589E-01 .280000E+01 .190854E-01 .117558E-01 .168706E-01 .320000E+01 .150879E-01 .107020E-01 .121707E-01 .360000E+01 .122157E-01 .997005E-02 .100262E-01 .400000E+01 .997137E-02 .867148E-02 .831585E-02 .440000E+01 .764228E-02 .786528E-02 .723370E-02 .480000E+01 .659070E-02 .722715E-02 .593696E-02 .520000E+01 .538785E-02 .657975E-02 .556640E-02 .560000E+01 .450547E-02 .585765E-02 .451151E-02 .600000E+01 .369263E-02 .525254E-02 .383558E-02 .640000E+01 .308917E-02 .440199E-02 .320206E-02 .680000E+01 .263649E-02 .399482E-02 .277191E-02 .720000E+01 .225615E-02 .371100E-02 .241998E-02 .760000E+01 .197372E-02 .320398E-02 .211323E-02 .800000E+01 .167783E-02 .268231E-02 .188884E-02 .840000E+01 .139692E-02 .247214E-02 .164682E-02 .880000E+01 .117905E-02 .224041E-02 .145105E-02 .920000E+01 .101884E-02 .194294E-02 .127388E-02 .960000E+01 .878588E-03 .166113E-02 .116639E-02 .100000E+02 .782062E-03 .147558E-02 .102108E-02 .104000E+02 .690184E-03 .127896E-02 .869305E-03 .108000E+02 .586749E-03 .107588E-02 .771345E-03 .112000E+02 .498880E-03 .973595E-03 .681639E-03 .116000E+02 .445658E-03 .864639E-03 .612025E-03 .120000E+02 .384511E-03 .782119E-03 .553413E-03 .124000E+02 .342549E-03 .705478E-03 .479043E-03 .128000E+02 .303779E-03 .619958E-03 .442963E-03 .132000E+02 .273235E-03 .553378E-03 .391943E-03 .136000E+02 .237689E-03 .489746E-03 .350625E-03 .140000E+02 .208005E-03 .447268E-03 .312734E-03 .144000E+02 .187693E-03 .404211E-03 .279785E-03 .148000E+02 .167691E-03 .366425E-03 .254605E-03 .152000E+02 .149530E-03 .321193E-03 .225432E-03 .156000E+02 .135627E-03 .287873E-03 .208070E-03 .160000E+02 .121989E-03 .259790E-03 .191368E-03 .164000E+02 .108192E-03 .241416E-03 .169270E-03 .168000E+02 .959938E-04 .213208E-03 .154966E-03 .172000E+02 .871070E-04 .195395E-03 .139066E-03 .176000E+02 .783964E-04 .180691E-03 .132374E-03 .180000E+02 .718538E-04 .165857E-03 .119987E-03 .184000E+02 .650786E-04 .149221E-03 .112035E-03 .188000E+02 .601414E-04 .138070E-03 .103239E-03 .192000E+02 .553510E-04 .128018E-03 .942229E-04 .196000E+02 .507483E-04 .119516E-03 .890540E-04 .200000E+02 .459364E-04 .108451E-03 .824619E-04 .204000E+02 .432103E-04 .991532E-04 .760234E-04 .208000E+02 .399882E-04 .923274E-04 .717557E-04 .212000E+02 .366952E-04 .853410E-04 .658939E-04 .216000E+02 .336378E-04 .807223E-04 .605831E-04 .220000E+02 .313028E-04 .727114E-04 .574459E-04 .224000E+02 .286163E-04 .689887E-04 .522147E-04 .228000E+02 .277232E-04 .671981E-04 .505689E-04 .232000E+02 .255819E-04 .600662E-04 .479135E-04 .236000E+02 .238185E-04 .559609E-04 .432043E-04 .240000E+02 .221958E-04 .521334E-04 .406828E-04 .244000E+02 .203781E-04 .492618E-04 .376793E-04 .248000E+02 .181861E-04 .430730E-04 .338017E-04 .252000E+02 .167010E-04 .402852E-04 .306131E-04 at y/delta = 1.923880 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .567213E-01 .306783E-03 .572677E-02 .400000E+00 .121756E+00 .575281E-03 .183535E-01 .800000E+00 .855536E-01 .547045E-03 .198668E-01 .120000E+01 .568955E-01 .522533E-03 .191395E-01 .160000E+01 .370862E-01 .473033E-03 .155881E-01 .200000E+01 .230785E-01 .404974E-03 .106961E-01 .240000E+01 .145164E-01 .331103E-03 .786479E-02 .280000E+01 .958327E-02 .321617E-03 .629802E-02 .320000E+01 .563331E-02 .247125E-03 .421272E-02 .360000E+01 .385149E-02 .209265E-03 .300621E-02 .400000E+01 .246458E-02 .162396E-03 .204424E-02 .440000E+01 .170296E-02 .139333E-03 .153767E-02 .480000E+01 .110681E-02 .111888E-03 .107538E-02 .520000E+01 .752988E-03 .908621E-04 .791734E-03 .560000E+01 .555301E-03 .751809E-04 .580510E-03 .600000E+01 .397130E-03 .618413E-04 .424671E-03 .640000E+01 .295269E-03 .505809E-04 .299668E-03 .680000E+01 .220024E-03 .403759E-04 .231867E-03 .720000E+01 .158305E-03 .319600E-04 .163394E-03 .760000E+01 .119247E-03 .272920E-04 .129181E-03 .800000E+01 .866567E-04 .210291E-04 .941371E-04 .840000E+01 .690004E-04 .175337E-04 .722457E-04 .880000E+01 .536668E-04 .139423E-04 .553250E-04 .920000E+01 .425375E-04 .117625E-04 .430510E-04 .960000E+01 .326420E-04 .944266E-05 .343622E-04 .100000E+02 .257026E-04 .775705E-05 .267975E-04 .104000E+02 .204651E-04 .650651E-05 .212746E-04 .108000E+02 .162524E-04 .545465E-05 .171455E-04 .112000E+02 .127305E-04 .433002E-05 .130981E-04 .116000E+02 .105965E-04 .365521E-05 .106716E-04 .120000E+02 .847174E-05 .311135E-05 .859069E-05 .124000E+02 .689072E-05 .266106E-05 .701210E-05 .128000E+02 .576805E-05 .221557E-05 .563317E-05 .132000E+02 .460188E-05 .186048E-05 .468816E-05 .136000E+02 .392541E-05 .159273E-05 .382191E-05 .140000E+02 .318942E-05 .129786E-05 .308760E-05 .144000E+02 .272259E-05 .113557E-05 .255343E-05 .148000E+02 .220351E-05 .964535E-06 .208743E-05 .152000E+02 .184205E-05 .808907E-06 .171631E-05 .156000E+02 .156460E-05 .691320E-06 .136669E-05 .160000E+02 .128777E-05 .591055E-06 .116801E-05 .164000E+02 .112277E-05 .507042E-06 .982847E-06 .168000E+02 .933043E-06 .438111E-06 .811909E-06 .172000E+02 .815216E-06 .375932E-06 .704039E-06 .176000E+02 .704139E-06 .328225E-06 .590406E-06 .180000E+02 .613006E-06 .284771E-06 .500762E-06 .184000E+02 .500471E-06 .236821E-06 .424685E-06 .188000E+02 .438211E-06 .208142E-06 .369160E-06 .192000E+02 .388130E-06 .181211E-06 .316719E-06 .196000E+02 .325765E-06 .154994E-06 .268785E-06 .200000E+02 .289035E-06 .135027E-06 .233547E-06 .204000E+02 .255129E-06 .119542E-06 .205042E-06 .208000E+02 .226137E-06 .103645E-06 .178606E-06 .212000E+02 .198821E-06 .911533E-07 .155400E-06 .216000E+02 .176157E-06 .805620E-07 .136055E-06 .220000E+02 .156427E-06 .695774E-07 .119098E-06 .224000E+02 .142760E-06 .603087E-07 .104828E-06 .228000E+02 .126676E-06 .523243E-07 .937163E-07 .232000E+02 .116436E-06 .457642E-07 .848801E-07 .236000E+02 .107990E-06 .409286E-07 .784980E-07 .240000E+02 .936207E-07 .342349E-07 .678555E-07 .244000E+02 .909585E-07 .304715E-07 .666975E-07 .248000E+02 .832787E-07 .273374E-07 .590237E-07 .252000E+02 .820451E-07 .259303E-07 .586515E-07 4.3.2 Spanwise Power Spectra at y/delta = 7.612050E-02 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .947608E-01 .790839E-03 .271768E-01 .100000E+01 .221859E+00 .161170E-02 .667481E-01 .200000E+01 .325553E+00 .178061E-02 .757662E-01 .300000E+01 .432226E+00 .208289E-02 .752779E-01 .400000E+01 .557707E+00 .275814E-02 .802488E-01 .500000E+01 .639485E+00 .364423E-02 .813977E-01 .600000E+01 .650797E+00 .464671E-02 .752730E-01 .700000E+01 .615151E+00 .553925E-02 .678324E-01 .800000E+01 .510918E+00 .614708E-02 .576250E-01 .900000E+01 .472409E+00 .699694E-02 .498357E-01 .100000E+02 .387177E+00 .723058E-02 .411131E-01 .110000E+02 .310265E+00 .710084E-02 .328883E-01 .120000E+02 .262672E+00 .708296E-02 .269595E-01 .130000E+02 .207088E+00 .680403E-02 .212702E-01 .140000E+02 .175710E+00 .669438E-02 .175926E-01 .150000E+02 .140903E+00 .606878E-02 .142828E-01 .160000E+02 .116732E+00 .567562E-02 .112832E-01 .170000E+02 .954164E-01 .509625E-02 .909919E-02 .180000E+02 .784247E-01 .469231E-02 .739436E-02 .190000E+02 .652619E-01 .424843E-02 .593249E-02 .200000E+02 .548489E-01 .384294E-02 .499761E-02 .210000E+02 .463752E-01 .353918E-02 .412092E-02 .220000E+02 .387326E-01 .312945E-02 .335669E-02 .230000E+02 .326983E-01 .279720E-02 .281114E-02 .240000E+02 .270944E-01 .248222E-02 .234740E-02 .250000E+02 .232976E-01 .221397E-02 .199206E-02 .260000E+02 .199592E-01 .198641E-02 .165361E-02 .270000E+02 .169324E-01 .176873E-02 .139757E-02 .280000E+02 .141290E-01 .157572E-02 .119217E-02 .290000E+02 .124202E-01 .140049E-02 .100889E-02 .300000E+02 .108651E-01 .123839E-02 .867019E-03 .310000E+02 .912597E-02 .110168E-02 .724671E-03 .320000E+02 .803166E-02 .979036E-03 .624729E-03 .330000E+02 .694739E-02 .862084E-03 .530083E-03 .340000E+02 .603697E-02 .766685E-03 .455050E-03 .350000E+02 .515204E-02 .692753E-03 .389503E-03 .360000E+02 .448295E-02 .612574E-03 .336747E-03 .370000E+02 .398088E-02 .540611E-03 .289879E-03 .380000E+02 .343710E-02 .482848E-03 .249205E-03 .390000E+02 .305221E-02 .419939E-03 .216217E-03 .400000E+02 .266723E-02 .379754E-03 .186765E-03 .410000E+02 .233563E-02 .338258E-03 .162829E-03 .420000E+02 .206348E-02 .299096E-03 .141552E-03 .430000E+02 .180664E-02 .266192E-03 .124246E-03 .440000E+02 .161665E-02 .237223E-03 .108212E-03 .450000E+02 .142905E-02 .213267E-03 .952294E-04 .460000E+02 .126874E-02 .190914E-03 .846661E-04 .470000E+02 .113072E-02 .169985E-03 .742151E-04 .480000E+02 .101080E-02 .154165E-03 .660624E-04 .490000E+02 .927882E-03 .137239E-03 .590892E-04 .500000E+02 .838228E-03 .124844E-03 .527663E-04 .510000E+02 .756054E-03 .111997E-03 .473814E-04 .520000E+02 .698927E-03 .102665E-03 .430556E-04 .530000E+02 .638390E-03 .943016E-04 .394424E-04 .540000E+02 .598482E-03 .859506E-04 .358695E-04 .550000E+02 .563156E-03 .794621E-04 .334871E-04 .560000E+02 .531113E-03 .734581E-04 .307713E-04 .570000E+02 .495015E-03 .684220E-04 .284285E-04 .580000E+02 .469116E-03 .636808E-04 .264604E-04 .590000E+02 .440969E-03 .584326E-04 .240835E-04 .600000E+02 .409778E-03 .534855E-04 .218554E-04 .610000E+02 .377714E-03 .490109E-04 .195540E-04 .620000E+02 .342580E-03 .438191E-04 .173684E-04 .630000E+02 .306635E-03 .388542E-04 .153700E-04 at y/delta = 5.000000E-01 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .670290E-01 .226044E-01 .905743E-01 .100000E+01 .242736E+00 .497501E-01 .209809E+00 .200000E+01 .368717E+00 .653775E-01 .214332E+00 .300000E+01 .382045E+00 .767088E-01 .157130E+00 .400000E+01 .318450E+00 .850032E-01 .127949E+00 .500000E+01 .253915E+00 .808973E-01 .920699E-01 .600000E+01 .171399E+00 .688027E-01 .694313E-01 .700000E+01 .122222E+00 .585505E-01 .503892E-01 .800000E+01 .907202E-01 .494397E-01 .378006E-01 .900000E+01 .674047E-01 .405034E-01 .275386E-01 .100000E+02 .503372E-01 .325307E-01 .210149E-01 .110000E+02 .384823E-01 .264979E-01 .158772E-01 .120000E+02 .305997E-01 .220226E-01 .121976E-01 .130000E+02 .240726E-01 .178352E-01 .945104E-02 .140000E+02 .191402E-01 .146313E-01 .741381E-02 .150000E+02 .155128E-01 .120884E-01 .577475E-02 .160000E+02 .128095E-01 .101168E-01 .464379E-02 .170000E+02 .103950E-01 .836963E-02 .365873E-02 .180000E+02 .846112E-02 .677886E-02 .294133E-02 .190000E+02 .711354E-02 .574588E-02 .239647E-02 .200000E+02 .601637E-02 .474792E-02 .195773E-02 .210000E+02 .506867E-02 .403086E-02 .160974E-02 .220000E+02 .432801E-02 .334070E-02 .131959E-02 .230000E+02 .365295E-02 .279341E-02 .108092E-02 .240000E+02 .309913E-02 .236762E-02 .900742E-03 .250000E+02 .265929E-02 .202672E-02 .754964E-03 .260000E+02 .229155E-02 .171518E-02 .624938E-03 .270000E+02 .196439E-02 .144718E-02 .519263E-03 .280000E+02 .169651E-02 .125303E-02 .441032E-03 .290000E+02 .147536E-02 .107035E-02 .367438E-03 .300000E+02 .129076E-02 .920370E-03 .310142E-03 .310000E+02 .111501E-02 .783438E-03 .262750E-03 .320000E+02 .976839E-03 .676029E-03 .224078E-03 .330000E+02 .847749E-03 .589155E-03 .188107E-03 .340000E+02 .741318E-03 .507185E-03 .161869E-03 .350000E+02 .649656E-03 .437759E-03 .137113E-03 .360000E+02 .570237E-03 .380575E-03 .117094E-03 .370000E+02 .500688E-03 .330207E-03 .998261E-04 .380000E+02 .439893E-03 .287072E-03 .858399E-04 .390000E+02 .383744E-03 .251305E-03 .734535E-04 .400000E+02 .337691E-03 .219070E-03 .630734E-04 .410000E+02 .299279E-03 .191931E-03 .543188E-04 .420000E+02 .263608E-03 .167673E-03 .465924E-04 .430000E+02 .234530E-03 .147556E-03 .403215E-04 .440000E+02 .207610E-03 .129341E-03 .348434E-04 .450000E+02 .181750E-03 .113939E-03 .299165E-04 .460000E+02 .161836E-03 .100049E-03 .261334E-04 .470000E+02 .145197E-03 .883354E-04 .227751E-04 .480000E+02 .128813E-03 .780048E-04 .197699E-04 .490000E+02 .115241E-03 .699639E-04 .173752E-04 .500000E+02 .102788E-03 .622758E-04 .152502E-04 .510000E+02 .923357E-04 .553384E-04 .134323E-04 .520000E+02 .834763E-04 .497842E-04 .118882E-04 .530000E+02 .761455E-04 .447658E-04 .105534E-04 .540000E+02 .698710E-04 .410933E-04 .947261E-05 .550000E+02 .649404E-04 .375729E-04 .862991E-05 .560000E+02 .603399E-04 .351872E-04 .788092E-05 .570000E+02 .568449E-04 .330508E-04 .725258E-05 .580000E+02 .548257E-04 .315912E-04 .680014E-05 .590000E+02 .534076E-04 .305762E-04 .640896E-05 .600000E+02 .525463E-04 .302984E-04 .614439E-05 .610000E+02 .522816E-04 .306286E-04 .588844E-05 .620000E+02 .523692E-04 .302970E-04 .567808E-05 .630000E+02 .511817E-04 .296530E-04 .529024E-05 at y/delta = 1.000000 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .503366E-01 .272411E-01 .587722E-01 .100000E+01 .211908E+00 .628494E-01 .139968E+00 .200000E+01 .275099E+00 .703087E-01 .127309E+00 .300000E+01 .205142E+00 .647762E-01 .885071E-01 .400000E+01 .141617E+00 .567974E-01 .629990E-01 .500000E+01 .914940E-01 .462391E-01 .418289E-01 .600000E+01 .592251E-01 .349349E-01 .283073E-01 .700000E+01 .412544E-01 .267859E-01 .187491E-01 .800000E+01 .275979E-01 .215981E-01 .129413E-01 .900000E+01 .195475E-01 .162483E-01 .929482E-02 .100000E+02 .142846E-01 .125809E-01 .659485E-02 .110000E+02 .107604E-01 .979365E-02 .478345E-02 .120000E+02 .808587E-02 .767452E-02 .364446E-02 .130000E+02 .623900E-02 .596900E-02 .274355E-02 .140000E+02 .482722E-02 .467454E-02 .206014E-02 .150000E+02 .379699E-02 .375563E-02 .159049E-02 .160000E+02 .298355E-02 .300967E-02 .122970E-02 .170000E+02 .237453E-02 .241971E-02 .949696E-03 .180000E+02 .192442E-02 .194928E-02 .748805E-03 .190000E+02 .153113E-02 .155766E-02 .586758E-03 .200000E+02 .124729E-02 .127050E-02 .465892E-03 .210000E+02 .101608E-02 .103631E-02 .369051E-03 .220000E+02 .818202E-03 .846001E-03 .295063E-03 .230000E+02 .686783E-03 .698887E-03 .238612E-03 .240000E+02 .568163E-03 .569845E-03 .194145E-03 .250000E+02 .470309E-03 .477018E-03 .154927E-03 .260000E+02 .388448E-03 .394767E-03 .126191E-03 .270000E+02 .326302E-03 .327461E-03 .103852E-03 .280000E+02 .271626E-03 .271673E-03 .848100E-04 .290000E+02 .227527E-03 .228075E-03 .691229E-04 .300000E+02 .191127E-03 .189531E-03 .568781E-04 .310000E+02 .162056E-03 .159659E-03 .469817E-04 .320000E+02 .136168E-03 .133667E-03 .384337E-04 .330000E+02 .114316E-03 .113546E-03 .316396E-04 .340000E+02 .965802E-04 .959546E-04 .262730E-04 .350000E+02 .821132E-04 .805226E-04 .218260E-04 .360000E+02 .699053E-04 .681651E-04 .181039E-04 .370000E+02 .600066E-04 .581898E-04 .149773E-04 .380000E+02 .504730E-04 .494557E-04 .124313E-04 .390000E+02 .432266E-04 .421021E-04 .103957E-04 .400000E+02 .368222E-04 .357179E-04 .869800E-05 .410000E+02 .315915E-04 .304028E-04 .724477E-05 .420000E+02 .270592E-04 .259418E-04 .606280E-05 .430000E+02 .233110E-04 .222916E-04 .512143E-05 .440000E+02 .199029E-04 .191017E-04 .431849E-05 .450000E+02 .171558E-04 .163277E-04 .364446E-05 .460000E+02 .147819E-04 .139821E-04 .306649E-05 .470000E+02 .126934E-04 .120037E-04 .260435E-05 .480000E+02 .110489E-04 .103446E-04 .221551E-05 .490000E+02 .955583E-05 .895169E-05 .186512E-05 .500000E+02 .834100E-05 .771425E-05 .159517E-05 .510000E+02 .717957E-05 .674361E-05 .135591E-05 .520000E+02 .629098E-05 .581162E-05 .116041E-05 .530000E+02 .552328E-05 .508020E-05 .994925E-06 .540000E+02 .488739E-05 .449577E-05 .863008E-06 .550000E+02 .435851E-05 .398220E-05 .763996E-06 .560000E+02 .390630E-05 .356249E-05 .673060E-06 .570000E+02 .356063E-05 .325768E-05 .609261E-06 .580000E+02 .334811E-05 .303013E-05 .557381E-06 .590000E+02 .322237E-05 .290408E-05 .523054E-06 .600000E+02 .315397E-05 .286174E-05 .494612E-06 .610000E+02 .317280E-05 .285587E-05 .483486E-06 .620000E+02 .322578E-05 .287419E-05 .463443E-06 .630000E+02 .316590E-05 .275680E-05 .432352E-06 at y/delta = 1.500000 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .516159E-01 .127632E-01 .290056E-01 .100000E+01 .141030E+00 .270712E-01 .969418E-01 .200000E+01 .889516E-01 .293875E-01 .610694E-01 .300000E+01 .656104E-01 .269216E-01 .358815E-01 .400000E+01 .437573E-01 .216421E-01 .218343E-01 .500000E+01 .324821E-01 .182674E-01 .150002E-01 .600000E+01 .249317E-01 .144750E-01 .973715E-02 .700000E+01 .165520E-01 .110031E-01 .676985E-02 .800000E+01 .113808E-01 .829714E-02 .454744E-02 .900000E+01 .884784E-02 .639082E-02 .313918E-02 .100000E+02 .647807E-02 .460322E-02 .227667E-02 .110000E+02 .480723E-02 .360100E-02 .159644E-02 .120000E+02 .360947E-02 .259624E-02 .113948E-02 .130000E+02 .275172E-02 .195076E-02 .813456E-03 .140000E+02 .203349E-02 .145773E-02 .589896E-03 .150000E+02 .152727E-02 .111446E-02 .440857E-03 .160000E+02 .116961E-02 .861003E-03 .325304E-03 .170000E+02 .894139E-03 .641614E-03 .242441E-03 .180000E+02 .698492E-03 .497041E-03 .183012E-03 .190000E+02 .542493E-03 .384731E-03 .139627E-03 .200000E+02 .424388E-03 .297992E-03 .106985E-03 .210000E+02 .337749E-03 .231495E-03 .813576E-04 .220000E+02 .270034E-03 .179125E-03 .625121E-04 .230000E+02 .216494E-03 .142650E-03 .484404E-04 .240000E+02 .169483E-03 .110060E-03 .379027E-04 .250000E+02 .138176E-03 .872194E-04 .297460E-04 .260000E+02 .110352E-03 .695749E-04 .233759E-04 .270000E+02 .891307E-04 .550583E-04 .182328E-04 .280000E+02 .712722E-04 .438114E-04 .145593E-04 .290000E+02 .575630E-04 .352115E-04 .113938E-04 .300000E+02 .463094E-04 .282836E-04 .902204E-05 .310000E+02 .379568E-04 .229944E-04 .718606E-05 .320000E+02 .308760E-04 .185597E-04 .578459E-05 .330000E+02 .246371E-04 .149998E-04 .458952E-05 .340000E+02 .203434E-04 .121037E-04 .365616E-05 .350000E+02 .167502E-04 .985685E-05 .294685E-05 .360000E+02 .136513E-04 .797296E-05 .235107E-05 .370000E+02 .111126E-04 .655698E-05 .190573E-05 .380000E+02 .909110E-05 .537773E-05 .152378E-05 .390000E+02 .753445E-05 .443341E-05 .123889E-05 .400000E+02 .620902E-05 .361794E-05 .995377E-06 .410000E+02 .505809E-05 .297217E-05 .806748E-06 .420000E+02 .418829E-05 .242141E-05 .656387E-06 .430000E+02 .344400E-05 .200786E-05 .530795E-06 .440000E+02 .287424E-05 .165259E-05 .433519E-06 .450000E+02 .239189E-05 .136981E-05 .352834E-06 .460000E+02 .197224E-05 .114036E-05 .286904E-06 .470000E+02 .164138E-05 .947533E-06 .236415E-06 .480000E+02 .137329E-05 .779006E-06 .194164E-06 .490000E+02 .114195E-05 .652379E-06 .158426E-06 .500000E+02 .951936E-06 .547279E-06 .130405E-06 .510000E+02 .786905E-06 .453934E-06 .107343E-06 .520000E+02 .664266E-06 .382420E-06 .896780E-07 .530000E+02 .560587E-06 .319540E-06 .742514E-07 .540000E+02 .470990E-06 .272685E-06 .615526E-07 .550000E+02 .399244E-06 .235498E-06 .523211E-07 .560000E+02 .343702E-06 .201426E-06 .448052E-07 .570000E+02 .301027E-06 .178790E-06 .393849E-07 .580000E+02 .268164E-06 .158863E-06 .343991E-07 .590000E+02 .244108E-06 .143831E-06 .308297E-07 .600000E+02 .226066E-06 .132698E-06 .278080E-07 .610000E+02 .219163E-06 .123795E-06 .253974E-07 .620000E+02 .207295E-06 .109879E-06 .222755E-07 .630000E+02 .178507E-06 .948772E-07 .184610E-07 at y/delta = 1.923880 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .238255E-01 .129666E-03 .279044E-02 .100000E+01 .492243E-01 .243943E-03 .281144E-01 .200000E+01 .490509E-01 .262032E-03 .243471E-01 .300000E+01 .503400E-01 .287836E-03 .164180E-01 .400000E+01 .446656E-01 .328548E-03 .126684E-01 .500000E+01 .466241E-01 .370201E-03 .995062E-02 .600000E+01 .392501E-01 .381891E-03 .681865E-02 .700000E+01 .326151E-01 .405229E-03 .507949E-02 .800000E+01 .255899E-01 .420574E-03 .400080E-02 .900000E+01 .206174E-01 .386356E-03 .273979E-02 .100000E+02 .123391E-01 .320458E-03 .179732E-02 .110000E+02 .874918E-02 .279010E-03 .120281E-02 .120000E+02 .596513E-02 .217719E-03 .784225E-03 .130000E+02 .419170E-02 .180972E-03 .545769E-03 .140000E+02 .282999E-02 .143588E-03 .366288E-03 .150000E+02 .203273E-02 .112974E-03 .254835E-03 .160000E+02 .144998E-02 .887345E-04 .175001E-03 .170000E+02 .978361E-03 .688368E-04 .122565E-03 .180000E+02 .692805E-03 .525414E-04 .836666E-04 .190000E+02 .498093E-03 .401936E-04 .590297E-04 .200000E+02 .353391E-03 .315912E-04 .422025E-04 .210000E+02 .265480E-03 .241050E-04 .299322E-04 .220000E+02 .191787E-03 .182278E-04 .206400E-04 .230000E+02 .134740E-03 .138183E-04 .150430E-04 .240000E+02 .999994E-04 .102576E-04 .110165E-04 .250000E+02 .717645E-04 .776303E-05 .788813E-05 .260000E+02 .565574E-04 .597057E-05 .577380E-05 .270000E+02 .412381E-04 .454209E-05 .413863E-05 .280000E+02 .310216E-04 .342918E-05 .299422E-05 .290000E+02 .227870E-04 .264239E-05 .220995E-05 .300000E+02 .172648E-04 .205596E-05 .165735E-05 .310000E+02 .128746E-04 .158539E-05 .120276E-05 .320000E+02 .961780E-05 .120963E-05 .878408E-06 .330000E+02 .736449E-05 .906126E-06 .652227E-06 .340000E+02 .561057E-05 .705530E-06 .485763E-06 .350000E+02 .416767E-05 .529702E-06 .356839E-06 .360000E+02 .319239E-05 .410284E-06 .267233E-06 .370000E+02 .240465E-05 .318704E-06 .202047E-06 .380000E+02 .186571E-05 .241058E-06 .151121E-06 .390000E+02 .142767E-05 .186187E-06 .113572E-06 .400000E+02 .109055E-05 .144503E-06 .892580E-07 .410000E+02 .852475E-06 .112154E-06 .680875E-07 .420000E+02 .652485E-06 .865342E-07 .522894E-07 .430000E+02 .504193E-06 .665645E-07 .398386E-07 .440000E+02 .395763E-06 .511150E-07 .310016E-07 .450000E+02 .305759E-06 .402531E-07 .239442E-07 .460000E+02 .238200E-06 .320040E-07 .187752E-07 .470000E+02 .187857E-06 .251331E-07 .148234E-07 .480000E+02 .148520E-06 .197886E-07 .117645E-07 .490000E+02 .115341E-06 .154430E-07 .940979E-08 .500000E+02 .925677E-07 .120814E-07 .760517E-08 .510000E+02 .717951E-07 .953964E-08 .612911E-08 .520000E+02 .574459E-07 .755299E-08 .502714E-08 .530000E+02 .454375E-07 .600544E-08 .412970E-08 .540000E+02 .372936E-07 .489239E-08 .349941E-08 .550000E+02 .300318E-07 .401739E-08 .299136E-08 .560000E+02 .249180E-07 .326486E-08 .258213E-08 .570000E+02 .209393E-07 .265631E-08 .225782E-08 .580000E+02 .176993E-07 .220569E-08 .196442E-08 .590000E+02 .148351E-07 .184073E-08 .171741E-08 .600000E+02 .127045E-07 .152757E-08 .151272E-08 .610000E+02 .107341E-07 .123929E-08 .132467E-08 .620000E+02 .879993E-08 .101420E-08 .112416E-08 .630000E+02 .698218E-08 .803129E-09 .953587E-09 4.4 Two-point Correlations at several points 4.4.1 Streamwise Separations at y/delta = 7.612050E-02 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .965853E+00 .839403E+00 .898511E+00 .245437E+00 .887562E+00 .587375E+00 .699554E+00 .368155E+00 .796388E+00 .400995E+00 .514155E+00 .490874E+00 .708570E+00 .276752E+00 .374417E+00 .613592E+00 .630210E+00 .199182E+00 .278237E+00 .736311E+00 .562172E+00 .147307E+00 .212496E+00 .859029E+00 .503651E+00 .113754E+00 .166890E+00 .981748E+00 .453169E+00 .892816E-01 .133351E+00 .110447E+01 .409419E+00 .722729E-01 .107874E+00 .122718E+01 .371118E+00 .587142E-01 .871929E-01 .134990E+01 .337389E+00 .490757E-01 .701175E-01 .147262E+01 .307483E+00 .406675E-01 .555539E-01 .159534E+01 .280989E+00 .343221E-01 .437131E-01 .171806E+01 .257444E+00 .286179E-01 .341311E-01 .184078E+01 .236528E+00 .251095E-01 .270072E-01 .196350E+01 .217831E+00 .225113E-01 .217214E-01 .208621E+01 .201106E+00 .211182E-01 .179553E-01 .220893E+01 .186022E+00 .191435E-01 .146917E-01 .233165E+01 .172403E+00 .173418E-01 .117495E-01 .245437E+01 .160001E+00 .147827E-01 .858725E-02 .257709E+01 .148760E+00 .130663E-01 .557752E-02 .269981E+01 .138522E+00 .115142E-01 .257706E-02 .282252E+01 .129264E+00 .110567E-01 -.635195E-05 .294524E+01 .120828E+00 .103182E-01 -.259720E-02 .306796E+01 .113183E+00 .100134E-01 -.497923E-02 .319068E+01 .106158E+00 .901578E-02 -.735246E-02 .331340E+01 .997387E-01 .843962E-02 -.905672E-02 .343612E+01 .937961E-01 .765119E-02 -.101909E-01 .355884E+01 .883253E-01 .785048E-02 -.104402E-01 .368155E+01 .832049E-01 .767014E-02 -.105775E-01 .380427E+01 .784676E-01 .793498E-02 -.107905E-01 .392699E+01 .740021E-01 .763084E-02 -.116583E-01 .404971E+01 .698554E-01 .766482E-02 -.127249E-01 .417243E+01 .659597E-01 .712333E-02 -.140572E-01 .429515E+01 .623936E-01 .725745E-02 -.150933E-01 .441786E+01 .590898E-01 .709342E-02 -.160219E-01 .454058E+01 .560965E-01 .731798E-02 -.163629E-01 .466330E+01 .533178E-01 .667248E-02 -.164875E-01 .478602E+01 .507715E-01 .643722E-02 -.162496E-01 .490874E+01 .483053E-01 .552712E-02 -.162344E-01 .503146E+01 .458988E-01 .479447E-02 -.161844E-01 .515418E+01 .434149E-01 .306430E-02 -.164531E-01 .527689E+01 .409378E-01 .180575E-02 -.165333E-01 .539961E+01 .384663E-01 .254261E-03 -.165720E-01 .552233E+01 .361509E-01 -.458562E-03 -.159791E-01 .564505E+01 .340051E-01 -.125215E-02 -.150117E-01 .576777E+01 .321798E-01 -.119726E-02 -.133973E-01 .589049E+01 .306508E-01 -.159570E-02 -.117060E-01 .601320E+01 .294808E-01 -.140079E-02 -.967208E-02 .613592E+01 .285709E-01 -.147995E-02 -.776593E-02 .625864E+01 .279473E-01 -.828063E-03 -.584329E-02 .638136E+01 .274766E-01 -.997337E-03 -.451342E-02 .650408E+01 .272042E-01 -.109065E-02 -.336763E-02 .662680E+01 .270577E-01 -.198123E-02 -.253033E-02 .674952E+01 .271122E-01 -.237722E-02 -.153979E-02 .687223E+01 .272761E-01 -.303719E-02 -.908184E-03 .699495E+01 .275655E-01 -.290366E-02 -.534763E-03 .711767E+01 .278453E-01 -.311120E-02 -.987557E-03 .724039E+01 .281656E-01 -.255801E-02 -.165476E-02 .736311E+01 .284577E-01 -.239210E-02 -.240768E-02 .748583E+01 .287979E-01 -.179636E-02 -.268395E-02 .760854E+01 .290904E-01 -.200708E-02 -.299585E-02 .773126E+01 .293367E-01 -.186703E-02 -.309622E-02 .785398E+01 .294001E-01 -.219864E-02 -.329357E-02 at y/delta = 5.000000E-01 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .926677E+00 .776720E+00 .797098E+00 .245437E+00 .802561E+00 .489826E+00 .508254E+00 .368155E+00 .687010E+00 .303642E+00 .300119E+00 .490874E+00 .589298E+00 .193462E+00 .165491E+00 .613592E+00 .509867E+00 .132930E+00 .854022E-01 .736311E+00 .444767E+00 .961268E-01 .356769E-01 .859029E+00 .391771E+00 .750177E-01 .697394E-02 .981748E+00 .347203E+00 .602408E-01 -.122545E-01 .110447E+01 .309963E+00 .520869E-01 -.234904E-01 .122718E+01 .277774E+00 .443119E-01 -.325099E-01 .134990E+01 .250390E+00 .394099E-01 -.375338E-01 .147262E+01 .226301E+00 .337178E-01 -.419013E-01 .159534E+01 .205568E+00 .307323E-01 -.432029E-01 .171806E+01 .186802E+00 .268315E-01 -.442861E-01 .184078E+01 .170321E+00 .253389E-01 -.434218E-01 .196350E+01 .155273E+00 .220949E-01 -.431325E-01 .208621E+01 .142226E+00 .204633E-01 -.409411E-01 .220893E+01 .130321E+00 .181106E-01 -.392916E-01 .233165E+01 .120154E+00 .184658E-01 -.359625E-01 .245437E+01 .110726E+00 .166950E-01 -.343892E-01 .257709E+01 .102494E+00 .159901E-01 -.327313E-01 .269981E+01 .946883E-01 .134391E-01 -.334205E-01 .282252E+01 .880759E-01 .128995E-01 -.337897E-01 .294524E+01 .818544E-01 .103974E-01 -.352442E-01 .306796E+01 .765087E-01 .963424E-02 -.352454E-01 .319068E+01 .711915E-01 .736968E-02 -.358908E-01 .331340E+01 .666882E-01 .613743E-02 -.346541E-01 .343612E+01 .623377E-01 .337935E-02 -.341126E-01 .355884E+01 .587504E-01 .314589E-02 -.320345E-01 .368155E+01 .552358E-01 .206561E-02 -.305793E-01 .380427E+01 .524981E-01 .332906E-02 -.268708E-01 .392699E+01 .497791E-01 .282301E-02 -.239500E-01 .404971E+01 .476812E-01 .364085E-02 -.205340E-01 .417243E+01 .454190E-01 .218616E-02 -.188928E-01 .429515E+01 .437088E-01 .181869E-02 -.162797E-01 .441786E+01 .420241E-01 -.750759E-03 -.154979E-01 .454058E+01 .411389E-01 -.190987E-02 -.143263E-01 .466330E+01 .403719E-01 -.454714E-02 -.149179E-01 .478602E+01 .403816E-01 -.486353E-02 -.140161E-01 .490874E+01 .404189E-01 -.579500E-02 -.137971E-01 .503146E+01 .412068E-01 -.415052E-02 -.118995E-01 .515418E+01 .418992E-01 -.349483E-02 -.111435E-01 .527689E+01 .430345E-01 -.121705E-02 -.960432E-02 .539961E+01 .438994E-01 -.908918E-03 -.995300E-02 .552233E+01 .453638E-01 .123766E-02 -.919524E-02 .564505E+01 .468017E-01 .163926E-02 -.920551E-02 .576777E+01 .489127E-01 .289483E-02 -.689556E-02 .589049E+01 .508895E-01 .204662E-02 -.505384E-02 .601320E+01 .534362E-01 .313966E-02 -.191806E-02 .613592E+01 .557451E-01 .295048E-02 .247080E-03 .625864E+01 .583641E-01 .502640E-02 .335619E-02 .638136E+01 .605542E-01 .506633E-02 .380026E-02 .650408E+01 .629478E-01 .651687E-02 .450909E-02 .662680E+01 .647596E-01 .613149E-02 .344795E-02 .674952E+01 .667934E-01 .717887E-02 .335115E-02 .687223E+01 .683618E-01 .673334E-02 .234323E-02 .699495E+01 .702629E-01 .818955E-02 .294669E-02 .711767E+01 .717662E-01 .796291E-02 .244118E-02 .724039E+01 .734530E-01 .932983E-02 .325796E-02 .736311E+01 .744603E-01 .900120E-02 .378159E-02 .748583E+01 .754782E-01 .100116E-01 .616072E-02 .760854E+01 .758792E-01 .931966E-02 .709375E-02 .773126E+01 .763931E-01 .106222E-01 .869283E-02 .785398E+01 .763134E-01 .995578E-02 .833525E-02 at y/delta = 1.000000 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .944183E+00 .806492E+00 .830022E+00 .245437E+00 .836916E+00 .511838E+00 .558965E+00 .368155E+00 .727855E+00 .291311E+00 .341951E+00 .490874E+00 .629796E+00 .149487E+00 .190367E+00 .613592E+00 .545772E+00 .670118E-01 .932278E-01 .736311E+00 .474158E+00 .187872E-01 .301911E-01 .859029E+00 .414045E+00 -.597842E-02 -.797991E-02 .981748E+00 .362994E+00 -.197709E-01 -.326617E-01 .110447E+01 .319917E+00 -.246801E-01 -.464656E-01 .122718E+01 .283075E+00 -.262008E-01 -.547966E-01 .134990E+01 .252076E+00 -.228491E-01 -.573553E-01 .147262E+01 .225547E+00 -.192477E-01 -.579024E-01 .159534E+01 .203080E+00 -.142325E-01 -.564242E-01 .171806E+01 .183650E+00 -.105432E-01 -.556339E-01 .184078E+01 .167071E+00 -.611765E-02 -.537169E-01 .196350E+01 .152522E+00 -.408278E-02 -.528141E-01 .208621E+01 .140097E+00 -.343335E-02 -.514377E-01 .220893E+01 .129438E+00 -.592004E-02 -.503877E-01 .233165E+01 .120814E+00 -.805226E-02 -.474046E-01 .245437E+01 .113599E+00 -.110950E-01 -.438590E-01 .257709E+01 .107834E+00 -.131593E-01 -.393240E-01 .269981E+01 .102941E+00 -.159063E-01 -.360308E-01 .282252E+01 .990139E-01 -.165412E-01 -.323867E-01 .294524E+01 .956718E-01 -.167455E-01 -.292830E-01 .306796E+01 .932194E-01 -.148435E-01 -.255382E-01 .319068E+01 .912694E-01 -.129188E-01 -.233354E-01 .331340E+01 .898864E-01 -.914846E-02 -.207871E-01 .343612E+01 .885766E-01 -.653169E-02 -.194122E-01 .355884E+01 .875677E-01 -.358452E-02 -.180526E-01 .368155E+01 .865301E-01 -.210646E-02 -.181698E-01 .380427E+01 .856643E-01 -.631659E-03 -.181075E-01 .392699E+01 .845122E-01 -.140247E-02 -.184544E-01 .404971E+01 .832390E-01 -.204959E-02 -.173032E-01 .417243E+01 .813476E-01 -.342318E-02 -.165454E-01 .429515E+01 .791591E-01 -.349329E-02 -.145547E-01 .441786E+01 .766846E-01 -.369823E-02 -.135348E-01 .454058E+01 .744063E-01 -.211864E-02 -.126256E-01 .466330E+01 .722300E-01 -.147205E-02 -.129344E-01 .478602E+01 .704745E-01 -.144466E-02 -.128060E-01 .490874E+01 .687374E-01 -.288204E-02 -.127887E-01 .503146E+01 .670480E-01 -.209342E-02 -.109730E-01 .515418E+01 .647864E-01 -.802948E-03 -.959424E-02 .527689E+01 .620688E-01 .120688E-02 -.852908E-02 .539961E+01 .587516E-01 .137748E-02 -.944897E-02 .552233E+01 .554306E-01 .166200E-02 -.106383E-01 .564505E+01 .522288E-01 .121170E-02 -.119954E-01 .576777E+01 .495780E-01 .174896E-02 -.116576E-01 .589049E+01 .470795E-01 .417507E-03 -.113411E-01 .601320E+01 .449507E-01 -.791957E-03 -.104467E-01 .613592E+01 .429254E-01 -.303597E-02 -.112250E-01 .625864E+01 .412626E-01 -.383430E-02 -.117029E-01 .638136E+01 .395786E-01 -.407885E-02 -.125754E-01 .650408E+01 .382048E-01 -.179340E-02 -.120493E-01 .662680E+01 .370046E-01 -.154695E-03 -.114100E-01 .674952E+01 .362813E-01 .123675E-02 -.895992E-02 .687223E+01 .358089E-01 .777311E-03 -.645662E-02 .699495E+01 .358992E-01 .162186E-02 -.294866E-02 .711767E+01 .361524E-01 .226362E-02 -.477052E-03 .724039E+01 .367190E-01 .346153E-02 .150543E-02 .736311E+01 .372687E-01 .283265E-02 .171521E-02 .748583E+01 .380876E-01 .217573E-02 .183604E-02 .760854E+01 .387380E-01 .247188E-03 .561249E-03 .773126E+01 .393423E-01 -.570021E-03 -.130365E-03 .785398E+01 .394555E-01 -.146488E-02 -.990393E-03 at y/delta = 1.500000 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .947501E+00 .813856E+00 .899499E+00 .245437E+00 .837748E+00 .493958E+00 .713501E+00 .368155E+00 .722652E+00 .247915E+00 .541574E+00 .490874E+00 .620407E+00 .995561E-01 .401639E+00 .613592E+00 .535264E+00 .257993E-01 .292385E+00 .736311E+00 .465313E+00 -.845714E-02 .205313E+00 .859029E+00 .408423E+00 -.224387E-01 .137271E+00 .981748E+00 .361810E+00 -.291869E-01 .834620E-01 .110447E+01 .323881E+00 -.301012E-01 .417819E-01 .122718E+01 .292762E+00 -.277292E-01 .889413E-02 .134990E+01 .267216E+00 -.229574E-01 -.166675E-01 .147262E+01 .245832E+00 -.196853E-01 -.370316E-01 .159534E+01 .227803E+00 -.164201E-01 -.517540E-01 .171806E+01 .212030E+00 -.131972E-01 -.614968E-01 .184078E+01 .198191E+00 -.822397E-02 -.660158E-01 .196350E+01 .185831E+00 -.353297E-02 -.672626E-01 .208621E+01 .175087E+00 .291844E-03 -.662334E-01 .220893E+01 .165774E+00 .166962E-02 -.645512E-01 .233165E+01 .157717E+00 .238555E-02 -.623590E-01 .245437E+01 .150202E+00 .241120E-02 -.608681E-01 .257709E+01 .143226E+00 .189250E-02 -.599564E-01 .269981E+01 .137000E+00 -.818530E-03 -.596834E-01 .282252E+01 .131969E+00 -.363009E-02 -.590679E-01 .294524E+01 .128007E+00 -.581081E-02 -.578613E-01 .306796E+01 .124959E+00 -.598796E-02 -.553000E-01 .319068E+01 .122352E+00 -.526669E-02 -.523107E-01 .331340E+01 .120059E+00 -.326478E-02 -.489414E-01 .343612E+01 .117797E+00 -.193908E-02 -.456095E-01 .355884E+01 .115642E+00 -.185084E-02 -.416955E-01 .368155E+01 .113383E+00 -.403197E-02 -.376515E-01 .380427E+01 .111128E+00 -.581052E-02 -.332238E-01 .392699E+01 .108768E+00 -.669240E-02 -.292464E-01 .404971E+01 .106497E+00 -.504721E-02 -.252431E-01 .417243E+01 .104265E+00 -.223655E-02 -.213620E-01 .429515E+01 .102127E+00 .208323E-03 -.173715E-01 .441786E+01 .999029E-01 .522003E-03 -.143258E-01 .454058E+01 .978037E-01 .212453E-03 -.122892E-01 .466330E+01 .956885E-01 .249033E-03 -.118264E-01 .478602E+01 .934520E-01 .226291E-02 -.125923E-01 .490874E+01 .907947E-01 .526311E-02 -.146497E-01 .503146E+01 .878855E-01 .821291E-02 -.170904E-01 .515418E+01 .848071E-01 .917144E-02 -.199187E-01 .527689E+01 .817967E-01 .898433E-02 -.225316E-01 .539961E+01 .788113E-01 .740460E-02 -.248498E-01 .552233E+01 .760197E-01 .577798E-02 -.261975E-01 .564505E+01 .733442E-01 .360760E-02 -.267475E-01 .576777E+01 .710401E-01 .213255E-02 -.263903E-01 .589049E+01 .690369E-01 .816062E-03 -.259975E-01 .601320E+01 .674092E-01 .598976E-03 -.253253E-01 .613592E+01 .658738E-01 .789546E-04 -.248362E-01 .625864E+01 .644182E-01 -.424922E-03 -.239185E-01 .638136E+01 .627869E-01 -.124737E-02 -.232828E-01 .650408E+01 .609697E-01 -.128720E-02 -.226286E-01 .662680E+01 .587568E-01 -.123931E-02 -.218429E-01 .674952E+01 .563444E-01 -.818630E-03 -.203171E-01 .687223E+01 .538288E-01 -.905667E-03 -.189478E-01 .699495E+01 .515254E-01 -.415307E-03 -.178123E-01 .711767E+01 .494582E-01 .965913E-05 -.176378E-01 .724039E+01 .478855E-01 .832209E-03 -.183720E-01 .736311E+01 .467655E-01 .461169E-03 -.203038E-01 .748583E+01 .461516E-01 -.990092E-04 -.226268E-01 .760854E+01 .457615E-01 -.127723E-02 -.250960E-01 .773126E+01 .455849E-01 -.202957E-02 -.265749E-01 .785398E+01 .454632E-01 -.273834E-02 -.271938E-01 at y/delta = 1.923880 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .985361E+00 .929088E+00 .967516E+00 .245437E+00 .944458E+00 .760577E+00 .879705E+00 .368155E+00 .884082E+00 .569222E+00 .757706E+00 .490874E+00 .811577E+00 .400842E+00 .622583E+00 .613592E+00 .733252E+00 .271144E+00 .489964E+00 .736311E+00 .653943E+00 .178612E+00 .369346E+00 .859029E+00 .577069E+00 .115439E+00 .265261E+00 .981748E+00 .504860E+00 .730903E-01 .178795E+00 .110447E+01 .438615E+00 .449955E-01 .109023E+00 .122718E+01 .378934E+00 .266820E-01 .540639E-01 .134990E+01 .325918E+00 .152931E-01 .117391E-01 .147262E+01 .279327E+00 .873628E-02 -.200952E-01 .159534E+01 .238706E+00 .547677E-02 -.433962E-01 .171806E+01 .203479E+00 .426472E-02 -.599289E-01 .184078E+01 .173018E+00 .402299E-02 -.712554E-01 .196350E+01 .146712E+00 .386139E-02 -.786985E-01 .208621E+01 .124013E+00 .333329E-02 -.832999E-01 .220893E+01 .104451E+00 .232510E-02 -.858515E-01 .233165E+01 .876208E-01 .984774E-03 -.869214E-01 .245437E+01 .731533E-01 -.557931E-03 -.868817E-01 .257709E+01 .606995E-01 -.210233E-02 -.859194E-01 .269981E+01 .499281E-01 -.337255E-02 -.840836E-01 .282252E+01 .405473E-01 -.409143E-02 -.813472E-01 .294524E+01 .323199E-01 -.425897E-02 -.776930E-01 .306796E+01 .250732E-01 -.395374E-02 -.731561E-01 .319068E+01 .186863E-01 -.317518E-02 -.678353E-01 .331340E+01 .130760E-01 -.180540E-02 -.618766E-01 .343612E+01 .817567E-02 .160548E-03 -.554713E-01 .355884E+01 .392512E-02 .263640E-02 -.488352E-01 .368155E+01 .262743E-03 .545557E-02 -.422101E-01 .380427E+01 -.287452E-02 .843949E-02 -.358517E-01 .392699E+01 -.556270E-02 .111801E-01 -.300284E-01 .404971E+01 -.789213E-02 .131602E-01 -.249929E-01 .417243E+01 -.996435E-02 .139393E-01 -.209602E-01 .429515E+01 -.118772E-01 .135030E-01 -.180666E-01 .441786E+01 -.137120E-01 .122161E-01 -.163539E-01 .454058E+01 -.155199E-01 .105780E-01 -.157654E-01 .466330E+01 -.173268E-01 .874166E-02 -.161771E-01 .478602E+01 -.191352E-01 .671787E-02 -.173908E-01 .490874E+01 -.209319E-01 .456481E-02 -.191509E-01 .503146E+01 -.226893E-01 .247236E-02 -.211885E-01 .515418E+01 -.243733E-01 .574630E-03 -.232834E-01 .527689E+01 -.259510E-01 -.998211E-03 -.252753E-01 .539961E+01 -.273976E-01 -.214225E-02 -.270630E-01 .552233E+01 -.286873E-01 -.272758E-02 -.285774E-01 .564505E+01 -.297934E-01 -.281030E-02 -.297665E-01 .576777E+01 -.306858E-01 -.246276E-02 -.305718E-01 .589049E+01 -.313377E-01 -.175937E-02 -.309240E-01 .601320E+01 -.317296E-01 -.698642E-03 -.307442E-01 .613592E+01 -.318588E-01 .811175E-03 -.299960E-01 .625864E+01 -.317479E-01 .295822E-02 -.287371E-01 .638136E+01 -.314584E-01 .563326E-02 -.271397E-01 .650408E+01 -.310857E-01 .836159E-02 -.254416E-01 .662680E+01 -.307391E-01 .104649E-01 -.238773E-01 .674952E+01 -.305118E-01 .114614E-01 -.226060E-01 .687223E+01 -.304682E-01 .111327E-01 -.217147E-01 .699495E+01 -.306335E-01 .959156E-02 -.212563E-01 .711767E+01 -.309918E-01 .713541E-02 -.212778E-01 .724039E+01 -.314928E-01 .416111E-02 -.217880E-01 .736311E+01 -.320729E-01 .855897E-03 -.227316E-01 .748583E+01 -.326565E-01 -.263474E-02 -.239493E-01 .760854E+01 -.331609E-01 -.597055E-02 -.251807E-01 .773126E+01 -.335042E-01 -.844472E-02 -.261031E-01 .785398E+01 -.336264E-01 -.937750E-02 -.264472E-01 4.4.2 Spanwise Separations at y/delta = 7.612050E-02 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .877017E+00 .661092E+00 .907681E+00 .981748E-01 .607936E+00 .123193E+00 .694912E+00 .147262E+00 .327876E+00 -.177487E+00 .459765E+00 .196350E+00 .101091E+00 -.256024E+00 .257545E+00 .245437E+00 -.568091E-01 -.223563E+00 .106796E+00 .294524E+00 -.152234E+00 -.160150E+00 .651791E-02 .343612E+00 -.198236E+00 -.976427E-01 -.519063E-01 .392699E+00 -.209794E+00 -.514850E-01 -.800341E-01 .441786E+00 -.198926E+00 -.193431E-01 -.881983E-01 .490874E+00 -.175839E+00 -.125180E-02 -.848718E-01 .539961E+00 -.147205E+00 .871923E-02 -.755752E-01 .589049E+00 -.118187E+00 .113234E-01 -.640547E-01 .638136E+00 -.912630E-01 .117583E-01 -.522686E-01 .687223E+00 -.679410E-01 .995064E-02 -.414849E-01 .736311E+00 -.482156E-01 .896596E-02 -.321495E-01 .785398E+00 -.324234E-01 .807376E-02 -.245996E-01 .834486E+00 -.202162E-01 .850381E-02 -.188182E-01 .883573E+00 -.113712E-01 .712363E-02 -.147791E-01 .932660E+00 -.500239E-02 .465814E-02 -.120335E-01 .981748E+00 -.657794E-03 .962803E-03 -.101509E-01 .103084E+01 .251046E-02 -.758713E-03 -.859382E-02 .107992E+01 .483103E-02 -.136145E-02 -.718361E-02 .112901E+01 .666857E-02 .774194E-04 -.581643E-02 .117810E+01 .756031E-02 .168189E-02 -.475891E-02 .122718E+01 .749903E-02 .344158E-02 -.425603E-02 .127627E+01 .630232E-02 .345614E-02 -.460488E-02 .132536E+01 .443773E-02 .358226E-02 -.567741E-02 .137445E+01 .214402E-02 .281344E-02 -.722435E-02 .142353E+01 -.152709E-03 .181402E-02 -.879325E-02 .147262E+01 -.257150E-02 -.561171E-03 -.102198E-01 .152171E+01 -.478056E-02 -.218487E-02 -.113874E-01 .157080E+01 -.653085E-02 -.383821E-02 -.123622E-01 .161988E+01 -.717573E-02 -.396040E-02 -.129982E-01 .166897E+01 -.688480E-02 -.355808E-02 -.132985E-01 .171806E+01 -.582970E-02 -.186088E-02 -.132491E-01 .176715E+01 -.435517E-02 -.587271E-03 -.130775E-01 .181623E+01 -.226820E-02 .740158E-03 -.128438E-01 .186532E+01 -.267368E-04 .808596E-03 -.126068E-01 .191441E+01 .196411E-02 .134241E-02 -.121960E-01 .196350E+01 .308891E-02 .147290E-02 -.116004E-01 .201258E+01 .351374E-02 .186365E-02 -.107666E-01 .206167E+01 .311213E-02 .132658E-02 -.995778E-02 .211076E+01 .198082E-02 .128701E-02 -.938560E-02 .215984E+01 -.444176E-04 .387810E-03 -.925410E-02 .220893E+01 -.251574E-02 -.462042E-03 -.940820E-02 .225802E+01 -.504212E-02 -.156002E-02 -.960789E-02 .230711E+01 -.684714E-02 -.140912E-02 -.942193E-02 .235619E+01 -.763026E-02 -.179051E-02 -.865490E-02 .240528E+01 -.695339E-02 -.208235E-02 -.719792E-02 .245437E+01 -.494125E-02 -.276937E-02 -.534587E-02 .250346E+01 -.164563E-02 -.228796E-02 -.342803E-02 .255254E+01 .207152E-02 -.148715E-02 -.184948E-02 .260163E+01 .551617E-02 .113347E-02 -.666837E-03 .265072E+01 .795194E-02 .332326E-02 .696186E-04 .269981E+01 .913378E-02 .461450E-02 .443617E-03 .274889E+01 .860115E-02 .358495E-02 .334493E-03 .279798E+01 .676113E-02 .179699E-02 -.148286E-03 .284707E+01 .420093E-02 -.832497E-03 -.819210E-03 .289616E+01 .191548E-02 -.207937E-02 -.135091E-02 .294524E+01 .170978E-03 -.240383E-02 -.170178E-02 .299433E+01 -.804131E-03 -.982760E-03 -.181714E-02 .304342E+01 -.134741E-02 .147188E-03 -.180380E-02 .309251E+01 -.150021E-02 .162177E-02 -.168284E-02 .314159E+01 -.158525E-02 .187939E-02 -.164413E-02 at y/delta = 5.000000E-01 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .947730E+00 .905737E+00 .962389E+00 .981748E-01 .825593E+00 .695144E+00 .868439E+00 .147262E+00 .680149E+00 .469357E+00 .750056E+00 .196350E+00 .535137E+00 .277276E+00 .628876E+00 .245437E+00 .400768E+00 .131016E+00 .515855E+00 .294524E+00 .281621E+00 .275154E-01 .415689E+00 .343612E+00 .179238E+00 -.413909E-01 .329725E+00 .392699E+00 .935257E-01 -.841972E-01 .257540E+00 .441786E+00 .235758E-01 -.108014E+00 .197902E+00 .490874E+00 -.320486E-01 -.118424E+00 .149192E+00 .539961E+00 -.748808E-01 -.119412E+00 .109774E+00 .589049E+00 -.106658E+00 -.114227E+00 .780916E-01 .638136E+00 -.128873E+00 -.105166E+00 .528261E-01 .687223E+00 -.143072E+00 -.942096E-01 .328077E-01 .736311E+00 -.150557E+00 -.825016E-01 .170732E-01 .785398E+00 -.152751E+00 -.710459E-01 .475054E-02 .834486E+00 -.150811E+00 -.601714E-01 -.485773E-02 .883573E+00 -.145899E+00 -.502923E-01 -.123639E-01 .932660E+00 -.138758E+00 -.413484E-01 -.182226E-01 .981748E+00 -.130115E+00 -.334348E-01 -.228149E-01 .103084E+01 -.120422E+00 -.262603E-01 -.263775E-01 .107992E+01 -.110279E+00 -.199090E-01 -.291176E-01 .112901E+01 -.100025E+00 -.142295E-01 -.311701E-01 .117810E+01 -.901471E-01 -.944347E-02 -.326997E-01 .122718E+01 -.808646E-01 -.538244E-02 -.338126E-01 .127627E+01 -.724210E-01 -.215700E-02 -.346177E-01 .132536E+01 -.647796E-01 .521175E-03 -.351405E-01 .137445E+01 -.580600E-01 .266637E-02 -.354175E-01 .142353E+01 -.522146E-01 .446705E-02 -.354526E-01 .147262E+01 -.473889E-01 .554620E-02 -.353160E-01 .152171E+01 -.434984E-01 .575915E-02 -.350572E-01 .157080E+01 -.405291E-01 .487142E-02 -.347462E-01 .161988E+01 -.382010E-01 .332343E-02 -.343836E-01 .166897E+01 -.363590E-01 .138523E-02 -.339792E-01 .171806E+01 -.346511E-01 -.466577E-03 -.335064E-01 .176715E+01 -.329284E-01 -.217203E-02 -.329991E-01 .181623E+01 -.309170E-01 -.341286E-02 -.324580E-01 .186532E+01 -.286464E-01 -.422861E-02 -.318922E-01 .191441E+01 -.260857E-01 -.450939E-02 -.312521E-01 .196350E+01 -.234169E-01 -.454704E-02 -.305313E-01 .201258E+01 -.206249E-01 -.432409E-02 -.297009E-01 .206167E+01 -.178311E-01 -.406276E-02 -.287510E-01 .211076E+01 -.149618E-01 -.361482E-02 -.276053E-01 .215984E+01 -.121633E-01 -.308078E-02 -.262405E-01 .220893E+01 -.944553E-02 -.232674E-02 -.246562E-01 .225802E+01 -.697814E-02 -.161506E-02 -.229239E-01 .230711E+01 -.476331E-02 -.922481E-03 -.210854E-01 .235619E+01 -.295503E-02 -.398362E-03 -.191978E-01 .240528E+01 -.148305E-02 .212274E-03 -.172531E-01 .245437E+01 -.442027E-03 .843976E-03 -.152568E-01 .250346E+01 .229233E-03 .165658E-02 -.131641E-01 .255254E+01 .417327E-03 .245284E-02 -.109650E-01 .260163E+01 .205678E-03 .324368E-02 -.863528E-02 .265072E+01 -.449901E-03 .369696E-02 -.620876E-02 .269981E+01 -.138828E-02 .384040E-02 -.370149E-02 .274889E+01 -.260883E-02 .360731E-02 -.117650E-02 .279798E+01 -.392307E-02 .340484E-02 .134245E-02 .284707E+01 -.530274E-02 .331075E-02 .380602E-02 .289616E+01 -.656163E-02 .351377E-02 .618209E-02 .294524E+01 -.771191E-02 .369609E-02 .836450E-02 .299433E+01 -.861139E-02 .385057E-02 .102563E-01 .304342E+01 -.929138E-02 .380152E-02 .117287E-01 .309251E+01 -.964890E-02 .376352E-02 .126883E-01 .314159E+01 -.979141E-02 .368569E-02 .130173E-01 at y/delta = 1.000000 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .971337E+00 .948326E+00 .976220E+00 .981748E-01 .897306E+00 .820952E+00 .913096E+00 .147262E+00 .799025E+00 .665748E+00 .826932E+00 .196350E+00 .691910E+00 .514717E+00 .731528E+00 .245437E+00 .584804E+00 .382256E+00 .635658E+00 .294524E+00 .482569E+00 .272608E+00 .544301E+00 .343612E+00 .387786E+00 .185093E+00 .460043E+00 .392699E+00 .301733E+00 .117079E+00 .384028E+00 .441786E+00 .224895E+00 .653859E-01 .316550E+00 .490874E+00 .157289E+00 .269140E-01 .257434E+00 .539961E+00 .986500E-01 -.106539E-02 .206243E+00 .589049E+00 .485102E-01 -.208789E-01 .162389E+00 .638136E+00 .626759E-02 -.344256E-01 .125201E+00 .687223E+00 -.287963E-01 -.432934E-01 .939572E-01 .736311E+00 -.574301E-01 -.486931E-01 .679353E-01 .785398E+00 -.804052E-01 -.515486E-01 .464285E-01 .834486E+00 -.984434E-01 -.524508E-01 .287783E-01 .883573E+00 -.112242E+00 -.518512E-01 .143768E-01 .932660E+00 -.122423E+00 -.500614E-01 .269066E-02 .981748E+00 -.129582E+00 -.474148E-01 -.674869E-02 .103084E+01 -.134233E+00 -.441755E-01 -.143379E-01 .107992E+01 -.136822E+00 -.406257E-01 -.204171E-01 .112901E+01 -.137674E+00 -.369665E-01 -.252578E-01 .117810E+01 -.137081E+00 -.333985E-01 -.290846E-01 .122718E+01 -.135280E+00 -.299818E-01 -.320805E-01 .127627E+01 -.132503E+00 -.267720E-01 -.344157E-01 .132536E+01 -.128928E+00 -.237805E-01 -.362349E-01 .137445E+01 -.124735E+00 -.210915E-01 -.376638E-01 .142353E+01 -.120057E+00 -.187741E-01 -.387905E-01 .147262E+01 -.115029E+00 -.169685E-01 -.396754E-01 .152171E+01 -.109765E+00 -.157338E-01 -.403448E-01 .157080E+01 -.104413E+00 -.150858E-01 -.408156E-01 .161988E+01 -.990853E-01 -.149127E-01 -.410850E-01 .166897E+01 -.938856E-01 -.151147E-01 -.411326E-01 .171806E+01 -.888662E-01 -.155232E-01 -.409194E-01 .176715E+01 -.840848E-01 -.159891E-01 -.404290E-01 .181623E+01 -.795605E-01 -.163052E-01 -.396766E-01 .186532E+01 -.753022E-01 -.163492E-01 -.387166E-01 .191441E+01 -.712546E-01 -.160166E-01 -.376122E-01 .196350E+01 -.673573E-01 -.153046E-01 -.364317E-01 .201258E+01 -.635325E-01 -.142171E-01 -.352329E-01 .206167E+01 -.597528E-01 -.128438E-01 -.340666E-01 .211076E+01 -.559891E-01 -.112569E-01 -.329506E-01 .215984E+01 -.522342E-01 -.958926E-02 -.318721E-01 .220893E+01 -.484551E-01 -.792933E-02 -.307850E-01 .225802E+01 -.446416E-01 -.638399E-02 -.296417E-01 .230711E+01 -.407794E-01 -.497235E-02 -.284009E-01 .235619E+01 -.369115E-01 -.375252E-02 -.270491E-01 .240528E+01 -.330945E-01 -.276140E-02 -.255877E-01 .245437E+01 -.294118E-01 -.208381E-02 -.240351E-01 .250346E+01 -.259073E-01 -.170973E-02 -.224078E-01 .255254E+01 -.226259E-01 -.159427E-02 -.207297E-01 .260163E+01 -.195789E-01 -.159902E-02 -.190218E-01 .265072E+01 -.168016E-01 -.162070E-02 -.173127E-01 .269981E+01 -.143214E-01 -.154066E-02 -.156283E-01 .274889E+01 -.121934E-01 -.133706E-02 -.140017E-01 .279798E+01 -.104370E-01 -.987232E-03 -.124661E-01 .284707E+01 -.905631E-02 -.528076E-03 -.110606E-01 .289616E+01 -.800770E-02 .436992E-04 -.981355E-02 .294524E+01 -.725638E-02 .667598E-03 -.875064E-02 .299433E+01 -.674286E-02 .128349E-02 -.788703E-02 .304342E+01 -.643363E-02 .176914E-02 -.724515E-02 .309251E+01 -.627445E-02 .207663E-02 -.684522E-02 .314159E+01 -.623155E-02 .216986E-02 -.671014E-02 at y/delta = 1.500000 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .974993E+00 .958478E+00 .983508E+00 .981748E-01 .908764E+00 .849439E+00 .938217E+00 .147262E+00 .819439E+00 .705557E+00 .873524E+00 .196350E+00 .722820E+00 .556053E+00 .798910E+00 .245437E+00 .628797E+00 .419069E+00 .721482E+00 .294524E+00 .542470E+00 .302940E+00 .645802E+00 .343612E+00 .465897E+00 .209604E+00 .574462E+00 .392699E+00 .399359E+00 .137537E+00 .508701E+00 .441786E+00 .342177E+00 .837048E-01 .448900E+00 .490874E+00 .293260E+00 .446627E-01 .394934E+00 .539961E+00 .251459E+00 .171182E-01 .346414E+00 .589049E+00 .215755E+00 -.181773E-02 .302835E+00 .638136E+00 .185303E+00 -.145040E-01 .263671E+00 .687223E+00 .159390E+00 -.227648E-01 .228421E+00 .736311E+00 .137380E+00 -.279340E-01 .196640E+00 .785398E+00 .118674E+00 -.309718E-01 .167940E+00 .834486E+00 .102699E+00 -.325436E-01 .141987E+00 .883573E+00 .889090E-01 -.331019E-01 .118482E+00 .932660E+00 .768090E-01 -.329540E-01 .971533E-01 .981748E+00 .659652E-01 -.323407E-01 .777490E-01 .103084E+01 .560272E-01 -.314518E-01 .600474E-01 .107992E+01 .467281E-01 -.304478E-01 .438566E-01 .112901E+01 .378925E-01 -.294607E-01 .290137E-01 .117810E+01 .294231E-01 -.285914E-01 .153823E-01 .122718E+01 .212941E-01 -.278701E-01 .285624E-02 .127627E+01 .135242E-01 -.272547E-01 -.863901E-02 .132536E+01 .616331E-02 -.266415E-01 -.191483E-01 .137445E+01 -.733352E-03 -.259154E-01 -.286983E-01 .142353E+01 -.710091E-02 -.249833E-01 -.373111E-01 .147262E+01 -.128539E-01 -.238086E-01 -.450211E-01 .152171E+01 -.178794E-01 -.224109E-01 -.518827E-01 .157080E+01 -.220848E-01 -.208614E-01 -.579690E-01 .161988E+01 -.254303E-01 -.192397E-01 -.633593E-01 .166897E+01 -.279452E-01 -.175923E-01 -.681288E-01 .171806E+01 -.297193E-01 -.158933E-01 -.723438E-01 .176715E+01 -.309038E-01 -.140727E-01 -.760620E-01 .181623E+01 -.316914E-01 -.120614E-01 -.793307E-01 .186532E+01 -.322997E-01 -.984782E-02 -.821876E-01 .191441E+01 -.329470E-01 -.748453E-02 -.846635E-01 .196350E+01 -.338374E-01 -.507179E-02 -.867861E-01 .201258E+01 -.351200E-01 -.271552E-02 -.885791E-01 .206167E+01 -.368669E-01 -.517635E-03 -.900611E-01 .211076E+01 -.390706E-01 .142787E-02 -.912484E-01 .215984E+01 -.416760E-01 .302366E-02 -.921619E-01 .220893E+01 -.445980E-01 .419219E-02 -.928313E-01 .225802E+01 -.477366E-01 .489570E-02 -.932971E-01 .230711E+01 -.509786E-01 .514961E-02 -.936106E-01 .235619E+01 -.542181E-01 .500828E-02 -.938341E-01 .240528E+01 -.573630E-01 .457174E-02 -.940371E-01 .245437E+01 -.603374E-01 .398138E-02 -.942891E-01 .250346E+01 -.630755E-01 .341619E-02 -.946469E-01 .255254E+01 -.655317E-01 .303807E-02 -.951466E-01 .260163E+01 -.676801E-01 .293107E-02 -.957973E-01 .265072E+01 -.695243E-01 .304859E-02 -.965844E-01 .269981E+01 -.711009E-01 .323310E-02 -.974754E-01 .274889E+01 -.724749E-01 .327820E-02 -.984270E-01 .279798E+01 -.737061E-01 .301967E-02 -.993902E-01 .284707E+01 -.748274E-01 .238573E-02 -.100319E+00 .289616E+01 -.758369E-01 .141478E-02 -.101174E+00 .294524E+01 -.767199E-01 .226905E-03 -.101922E+00 .299433E+01 -.774572E-01 -.100098E-02 -.102534E+00 .304342E+01 -.780263E-01 -.207728E-02 -.102987E+00 .309251E+01 -.783910E-01 -.281753E-02 -.103263E+00 .314159E+01 -.785178E-01 -.308320E-02 -.103356E+00 at y/delta = 1.923880 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .956758E+00 .896157E+00 .974426E+00 .981748E-01 .838500E+00 .635878E+00 .903145E+00 .147262E+00 .673275E+00 .329634E+00 .799821E+00 .196350E+00 .492884E+00 .714942E-01 .680736E+00 .245437E+00 .323168E+00 -.966160E-01 .560097E+00 .294524E+00 .180361E+00 -.176689E+00 .447874E+00 .343612E+00 .715943E-01 -.191891E+00 .349661E+00 .392699E+00 -.285045E-02 -.168735E+00 .267518E+00 .441786E+00 -.470125E-01 -.128378E+00 .201068E+00 .490874E+00 -.670892E-01 -.847043E-01 .148500E+00 .539961E+00 -.698631E-01 -.456589E-01 .107349E+00 .589049E+00 -.617003E-01 -.151403E-01 .750319E-01 .638136E+00 -.479853E-01 .570348E-02 .491874E-01 .687223E+00 -.328587E-01 .175953E-01 .278667E-01 .736311E+00 -.191628E-01 .222716E-01 .961078E-02 .785398E+00 -.853293E-02 .216620E-01 -.655120E-02 .834486E+00 -.157880E-02 .174942E-01 -.211619E-01 .883573E+00 .189128E-02 .113342E-01 -.344353E-01 .932660E+00 .262783E-02 .469444E-02 -.463752E-01 .981748E+00 .167674E-02 -.105179E-02 -.568912E-01 .103084E+01 .997362E-04 -.489343E-02 -.658916E-01 .107992E+01 -.127383E-02 -.639556E-02 -.733512E-01 .112901E+01 -.198355E-02 -.574223E-02 -.793487E-01 .117810E+01 -.193013E-02 -.357288E-02 -.840769E-01 .122718E+01 -.127140E-02 -.640765E-03 -.878201E-01 .127627E+01 -.309384E-03 .249786E-02 -.909075E-01 .132536E+01 .586999E-03 .552013E-02 -.936597E-01 .137445E+01 .103583E-02 .813936E-02 -.963516E-01 .142353E+01 .707477E-03 .100083E-01 -.991920E-01 .147262E+01 -.590623E-03 .108297E-01 -.102311E+00 .152171E+01 -.283758E-02 .105080E-01 -.105747E+00 .157080E+01 -.577470E-02 .917431E-02 -.109443E+00 .161988E+01 -.894661E-02 .709827E-02 -.113250E+00 .166897E+01 -.117879E-01 .459257E-02 -.116959E+00 .171806E+01 -.137280E-01 .197266E-02 -.120342E+00 .176715E+01 -.143067E-01 -.493515E-03 -.123182E+00 .181623E+01 -.132840E-01 -.264381E-02 -.125309E+00 .186532E+01 -.107134E-01 -.439789E-02 -.126601E+00 .191441E+01 -.693960E-02 -.561888E-02 -.126987E+00 .196350E+01 -.251889E-02 -.603880E-02 -.126446E+00 .201258E+01 .191047E-02 -.537423E-02 -.125011E+00 .206167E+01 .577078E-02 -.355252E-02 -.122785E+00 .211076E+01 .865870E-02 -.844222E-03 -.119932E+00 .215984E+01 .103974E-01 .217663E-02 -.116657E+00 .220893E+01 .110196E-01 .483044E-02 -.113183E+00 .225802E+01 .107035E-01 .658486E-02 -.109720E+00 .230711E+01 .970795E-02 .720422E-02 -.106453E+00 .235619E+01 .833139E-02 .671630E-02 -.103520E+00 .240528E+01 .688824E-02 .534056E-02 -.101007E+00 .245437E+01 .567533E-02 .346820E-02 -.989372E-01 .250346E+01 .491079E-02 .162582E-02 -.972775E-01 .255254E+01 .465357E-02 .345992E-03 -.959515E-01 .260163E+01 .475125E-02 .139766E-04 -.948656E-01 .265072E+01 .486434E-02 .742240E-03 -.939321E-01 .269981E+01 .456585E-02 .229626E-02 -.930869E-01 .274889E+01 .346214E-02 .412560E-02 -.922987E-01 .279798E+01 .128922E-02 .556721E-02 -.915699E-01 .284707E+01 -.202276E-02 .610656E-02 -.909295E-01 .289616E+01 -.630731E-02 .553547E-02 -.904165E-01 .294524E+01 -.111517E-01 .397291E-02 -.900579E-01 .299433E+01 -.159458E-01 .182353E-02 -.898514E-01 .304342E+01 -.200023E-01 -.330687E-03 -.897628E-01 .309251E+01 -.227098E-01 -.190258E-02 -.897402E-01 .314159E+01 -.236596E-01 -.247592E-02 -.897386E-01 5. References 5.1 Kuroda, A., Kasagi, N. and Hirata, M., "A direct Numerical Simulation of the Turbulent Flow Between Two Parallel Walls: Turbulence Characteristics Near the Wall Without Mean Shear," 5th Symposium on Numerical Simulation of Turbulence, IIS of the University of Tokyo, 1990, pp. 1-5. 5.2 Kuroda, A., Kasagi, N. and Hirata, M., "Investigation of Dynamical Effects of the Mean Shear Rate on the Wall Turbulence via Direct Numerical Simulation," 27th National Heat Transfer Symposium of Japan, Nagoya, 1990, pp.46-48. 5.3 Kuroda, A., "Direct Numerical Simulation of Couette-Poiseuille Flows," Dr. Eng. Thesis, the University of Tokyo, Dec. 1990. 5.4 Kuroda, A., Kasagi, N., and Hirata, M., "Direct Numerical Simulation of Turbulent Plane Couette-Poiseuille Flows: Effect of Mean Shear on the Near-Wall Turbulence Strucutres," Proc. 9th Symposium on Turbulent Shear Flows, Kyoto, Aug. 1993, Vol. 1, pp. 8.4.1-8.4.6. (EOF)