******************************************************************************* ******************************************************************************* ********** *********** ********** "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 2-D Channel Flow Code Number: CH12__PG.WL2 Date of Release: February 29, 1992 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 k = turbulent kinetic energy, u_i*u_i/2 nu = kinematic viscosity omega_y = vorticity component in the y-direction R(ab) = correlation coefficient between a and b Um = bulk mean velocity u, v, w = streamwise, wall-normal and spanwise velocity fluctuations u_tau = friction velocity x, y, z = streamwise, wall-normal, spanwise directions y+ = y*u_tau/nu 1. Description of Flow Field The flow field simulated is a fully developed two-dimensional turbulent flow between two parallel walls. Hence, 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 and nu. The flow condition is defined by the pressure gradient imposed (or the friction velocity) and the distance between the walls (channel height). 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 = 64 x 64 Fourier series in the x- and z-directions, and Chebyshev polynomials up to the order 64 in the y- direction (Chebyshev-tau method). Aliasing treatment: nonlinear terms computed with collocation grids 1.5 times finer in each direction. Grid spacing: 19.6 and 9.8 viscous units in the x- and z- directions and 0.12 to 4.9 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: 4*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 24 delta/u_tau (2400 nu/u_tau**2) 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 0.8 sec CPU time per one time step. 3. Flow conditions Re_tau = delta*u_tau/nu = 100 Re_m = 2*delta*Um/nu = 2980 4. Numerical data 4.1 Turbulence statistics j y+ u_mean u_rms v_rms w_rms 0 0.000000E+00 -0.550894E-13 0.275427E-13 0.125801E-15 0.112964E-14 1 0.535000E-01 0.535784E-01 0.179308E-01 0.190924E-04 0.779612E-02 2 0.214100E+00 0.214085E+00 0.716586E-01 0.298773E-03 0.305969E-01 3 0.481500E+00 0.480824E+00 0.161020E+00 0.145810E-02 0.667347E-01 4 0.855500E+00 0.852606E+00 0.285790E+00 0.438085E-02 0.113716E+00 5 0.133570E+01 0.132760E+01 0.445557E+00 0.100341E-01 0.168550E+00 6 0.192150E+01 0.190295E+01 0.639226E+00 0.192833E-01 0.228092E+00 7 0.261230E+01 0.257414E+01 0.863979E+00 0.327479E-01 0.289358E+00 8 0.340740E+01 0.333378E+01 0.111389E+01 0.507286E-01 0.349840E+00 9 0.430600E+01 0.417044E+01 0.137895E+01 0.732081E-01 0.407747E+00 10 0.530700E+01 0.506767E+01 0.164541E+01 0.999113E-01 0.462122E+00 11 0.640940E+01 0.600413E+01 0.189775E+01 0.130391E+00 0.512731E+00 12 0.761200E+01 0.695509E+01 0.212162E+01 0.164104E+00 0.559752E+00 13 0.891360E+01 0.789501E+01 0.230631E+01 0.200458E+00 0.603407E+00 14 0.103127E+02 0.880056E+01 0.244599E+01 0.238834E+00 0.643705E+00 15 0.118079E+02 0.965299E+01 0.253974E+01 0.278587E+00 0.680368E+00 16 0.133975E+02 0.104395E+02 0.259039E+01 0.319055E+00 0.712970E+00 17 0.150798E+02 0.111532E+02 0.260319E+01 0.359560E+00 0.741178E+00 18 0.168530E+02 0.117927E+02 0.258455E+01 0.399429E+00 0.764965E+00 19 0.187153E+02 0.123608E+02 0.254104E+01 0.438017E+00 0.784649E+00 20 0.206647E+02 0.128627E+02 0.247900E+01 0.474710E+00 0.800772E+00 21 0.226990E+02 0.133054E+02 0.240414E+01 0.508953E+00 0.813908E+00 22 0.248160E+02 0.136964E+02 0.232134E+01 0.540261E+00 0.824555E+00 23 0.270136E+02 0.140429E+02 0.223456E+01 0.568248E+00 0.833128E+00 24 0.292893E+02 0.143516E+02 0.214675E+01 0.592641E+00 0.839963E+00 25 0.316408E+02 0.146288E+02 0.205998E+01 0.613270E+00 0.845197E+00 26 0.340654E+02 0.148796E+02 0.197576E+01 0.630067E+00 0.848660E+00 27 0.365607E+02 0.151080E+02 0.189522E+01 0.643093E+00 0.850014E+00 28 0.391239E+02 0.153178E+02 0.181898E+01 0.652538E+00 0.849062E+00 29 0.417522E+02 0.155114E+02 0.174697E+01 0.658694E+00 0.845878E+00 30 0.444430E+02 0.156915E+02 0.167874E+01 0.661916E+00 0.840610E+00 31 0.471932E+02 0.158603E+02 0.161381E+01 0.662601E+00 0.833303E+00 32 0.500000E+02 0.160191E+02 0.155178E+01 0.661156E+00 0.823877E+00 33 0.528603E+02 0.161694E+02 0.149229E+01 0.657957E+00 0.812331E+00 34 0.557711E+02 0.163119E+02 0.143497E+01 0.653324E+00 0.798837E+00 35 0.587293E+02 0.164470E+02 0.137973E+01 0.647555E+00 0.783658E+00 36 0.617317E+02 0.165745E+02 0.132659E+01 0.640943E+00 0.767159E+00 37 0.647750E+02 0.166945E+02 0.127543E+01 0.633800E+00 0.749846E+00 38 0.678561E+02 0.168068E+02 0.122606E+01 0.626412E+00 0.732279E+00 39 0.709715E+02 0.169111E+02 0.117854E+01 0.619020E+00 0.715039E+00 40 0.741181E+02 0.170071E+02 0.113299E+01 0.611814E+00 0.698808E+00 41 0.772924E+02 0.170943E+02 0.108966E+01 0.604955E+00 0.684103E+00 42 0.804910E+02 0.171720E+02 0.104903E+01 0.598616E+00 0.671043E+00 43 0.837105E+02 0.172398E+02 0.101201E+01 0.592963E+00 0.659655E+00 44 0.869474E+02 0.172966E+02 0.979582E+00 0.588126E+00 0.650181E+00 45 0.901983E+02 0.173419E+02 0.952767E+00 0.584202E+00 0.642958E+00 46 0.934597E+02 0.173747E+02 0.932578E+00 0.581287E+00 0.638078E+00 47 0.967281E+02 0.173946E+02 0.919939E+00 0.579484E+00 0.635298E+00 48 0.100000E+03 0.174012E+02 0.915617E+00 0.578874E+00 0.634383E+00 j y+ -uv -uv/(u_rms*v_rms) 0 0.000000E+00 0.348978E-31 0.000000E+00 1 0.535000E-01 0.826532E-07 0.241435E+00 2 0.214100E+00 0.532296E-05 0.248624E+00 3 0.481500E+00 0.612410E-04 0.260841E+00 4 0.855500E+00 0.348357E-03 0.278239E+00 5 0.133570E+01 0.134425E-02 0.300675E+00 6 0.192150E+01 0.403623E-02 0.327447E+00 7 0.261230E+01 0.101046E-01 0.357136E+00 8 0.340740E+01 0.219080E-01 0.387711E+00 9 0.430600E+01 0.420876E-01 0.416914E+00 10 0.530700E+01 0.727874E-01 0.442760E+00 11 0.640940E+01 0.114787E+00 0.463880E+00 12 0.761200E+01 0.166985E+00 0.479612E+00 13 0.891360E+01 0.226511E+00 0.489946E+00 14 0.103127E+02 0.289392E+00 0.495379E+00 15 0.118079E+02 0.351466E+00 0.496745E+00 16 0.133975E+02 0.409134E+00 0.495035E+00 17 0.150798E+02 0.459805E+00 0.491242E+00 18 0.168530E+02 0.501978E+00 0.486251E+00 19 0.187153E+02 0.535101E+00 0.480765E+00 20 0.206647E+02 0.559346E+00 0.475308E+00 21 0.226990E+02 0.575382E+00 0.470239E+00 22 0.248160E+02 0.584138E+00 0.465770E+00 23 0.270136E+02 0.586592E+00 0.461961E+00 24 0.292893E+02 0.583662E+00 0.458764E+00 25 0.316408E+02 0.576212E+00 0.456108E+00 26 0.340654E+02 0.565049E+00 0.453904E+00 27 0.365607E+02 0.550858E+00 0.451967E+00 28 0.391239E+02 0.534147E+00 0.450015E+00 29 0.417522E+02 0.515273E+00 0.447783E+00 30 0.444430E+02 0.494514E+00 0.445032E+00 31 0.471932E+02 0.472156E+00 0.441552E+00 32 0.500000E+02 0.448464E+00 0.437111E+00 33 0.528603E+02 0.423639E+00 0.431464E+00 34 0.557711E+02 0.397909E+00 0.424436E+00 35 0.587293E+02 0.371497E+00 0.415802E+00 36 0.617317E+02 0.344504E+00 0.405169E+00 37 0.647750E+02 0.316978E+00 0.392121E+00 38 0.678561E+02 0.288992E+00 0.376281E+00 39 0.709715E+02 0.260639E+00 0.357265E+00 40 0.741181E+02 0.232003E+00 0.334692E+00 41 0.772924E+02 0.203148E+00 0.308176E+00 42 0.804910E+02 0.174148E+00 0.277319E+00 43 0.837105E+02 0.145070E+00 0.241749E+00 44 0.869474E+02 0.115980E+00 0.201312E+00 45 0.901983E+02 0.869381E-01 0.156193E+00 46 0.934597E+02 0.579482E-01 0.106897E+00 47 0.967281E+02 0.289748E-01 0.543525E-01 48 0.100000E+03 0.000000E+00 0.000000E+00 j y+ omega_z_mean omega_x_rms omega_y_rms omega_z_rms 0 0.000000E+00 -0.100096E+01 0.146533E+00 0.241523E-15 0.334979E+00 1 0.535000E-01 -0.100043E+01 0.144695E+00 0.134222E-02 0.334823E+00 2 0.214100E+00 -0.998816E+00 0.139387E+00 0.536800E-02 0.334446E+00 3 0.481500E+00 -0.996088E+00 0.131147E+00 0.120770E-01 0.334035E+00 4 0.855500E+00 -0.992065E+00 0.120674E+00 0.214708E-01 0.333656E+00 5 0.133570E+01 -0.986276E+00 0.108730E+00 0.335380E-01 0.332993E+00 6 0.192150E+01 -0.977741E+00 0.962612E-01 0.482044E-01 0.331115E+00 7 0.261230E+01 -0.964789E+00 0.846909E-01 0.652357E-01 0.326467E+00 8 0.340740E+01 -0.945072E+00 0.760440E-01 0.841195E-01 0.317434E+00 9 0.430600E+01 -0.915960E+00 0.723093E-01 0.104006E+00 0.303439E+00 10 0.530700E+01 -0.875322E+00 0.740186E-01 0.123787E+00 0.285784E+00 11 0.640940E+01 -0.822389E+00 0.797069E-01 0.142295E+00 0.267390E+00 12 0.761200E+01 -0.758274E+00 0.871704E-01 0.158532E+00 0.251449E+00 13 0.891360E+01 -0.685860E+00 0.947192E-01 0.171825E+00 0.239805E+00 14 0.103127E+02 -0.609125E+00 0.101441E+00 0.181870E+00 0.232298E+00 15 0.118079E+02 -0.532247E+00 0.107003E+00 0.188689E+00 0.227439E+00 16 0.133975E+02 -0.458831E+00 0.111413E+00 0.192537E+00 0.223521E+00 17 0.150798E+02 -0.391481E+00 0.114826E+00 0.193794E+00 0.219349E+00 18 0.168530E+02 -0.331712E+00 0.117379E+00 0.192874E+00 0.214387E+00 19 0.187153E+02 -0.280091E+00 0.119152E+00 0.190172E+00 0.208576E+00 20 0.206647E+02 -0.236464E+00 0.120209E+00 0.186040E+00 0.202018E+00 21 0.226990E+02 -0.200184E+00 0.120626E+00 0.180791E+00 0.194792E+00 22 0.248160E+02 -0.170341E+00 0.120470E+00 0.174706E+00 0.186991E+00 23 0.270136E+02 -0.145980E+00 0.119772E+00 0.168020E+00 0.178798E+00 24 0.292893E+02 -0.126209E+00 0.118540E+00 0.160936E+00 0.170394E+00 25 0.316408E+02 -0.110187E+00 0.116808E+00 0.153633E+00 0.161924E+00 26 0.340654E+02 -0.971361E-01 0.114640E+00 0.146261E+00 0.153537E+00 27 0.365607E+02 -0.864007E-01 0.112136E+00 0.138944E+00 0.145202E+00 28 0.391239E+02 -0.775018E-01 0.109395E+00 0.131800E+00 0.136958E+00 29 0.417522E+02 -0.701165E-01 0.106425E+00 0.124923E+00 0.129044E+00 30 0.444430E+02 -0.639875E-01 0.103236E+00 0.118376E+00 0.121620E+00 31 0.471932E+02 -0.588537E-01 0.998650E-01 0.112180E+00 0.114753E+00 32 0.500000E+02 -0.544826E-01 0.964011E-01 0.106334E+00 0.108466E+00 33 0.528603E+02 -0.506890E-01 0.929133E-01 0.100829E+00 0.102754E+00 34 0.557711E+02 -0.472764E-01 0.894033E-01 0.956501E-01 0.976101E-01 35 0.587293E+02 -0.440565E-01 0.859009E-01 0.907907E-01 0.928565E-01 36 0.617317E+02 -0.409457E-01 0.824547E-01 0.862399E-01 0.884338E-01 37 0.647750E+02 -0.379335E-01 0.790706E-01 0.819789E-01 0.844912E-01 38 0.678561E+02 -0.349765E-01 0.757644E-01 0.779994E-01 0.810888E-01 39 0.709715E+02 -0.320094E-01 0.725947E-01 0.742961E-01 0.781846E-01 40 0.741181E+02 -0.289959E-01 0.695611E-01 0.708700E-01 0.757203E-01 41 0.772924E+02 -0.259039E-01 0.666405E-01 0.677332E-01 0.736786E-01 42 0.804910E+02 -0.226934E-01 0.639377E-01 0.648974E-01 0.720466E-01 43 0.837105E+02 -0.193317E-01 0.615600E-01 0.623884E-01 0.707168E-01 44 0.869474E+02 -0.157823E-01 0.595511E-01 0.602454E-01 0.696438E-01 45 0.901983E+02 -0.120234E-01 0.578880E-01 0.585159E-01 0.688401E-01 46 0.934597E+02 -0.809259E-02 0.565679E-01 0.572490E-01 0.683220E-01 47 0.967281E+02 -0.406515E-02 0.557102E-01 0.564774E-01 0.680804E-01 48 0.100000E+03 0.000000E+00 0.554253E-01 0.562175E-01 0.680201E-01 j y+ u_skew v_skew w_skew 0 0.000000E+00 -0.882716E-43 -0.213519E-49 0.851362E-48 1 0.535000E-01 0.944974E+00 0.175067E+00 0.229047E-01 2 0.214100E+00 0.948098E+00 0.167142E+00 0.217589E-01 3 0.481500E+00 0.952617E+00 0.154072E+00 0.197686E-01 4 0.855500E+00 0.956871E+00 0.135594E+00 0.168949E-01 5 0.133570E+01 0.957322E+00 0.111102E+00 0.131678E-01 6 0.192150E+01 0.947841E+00 0.797527E-01 0.870025E-02 7 0.261230E+01 0.920140E+00 0.409084E-01 0.368270E-02 8 0.340740E+01 0.866413E+00 -0.502530E-02 -0.155340E-02 9 0.430600E+01 0.783497E+00 -0.560645E-01 -0.637875E-02 10 0.530700E+01 0.674832E+00 -0.109259E+00 -0.990905E-02 11 0.640940E+01 0.548461E+00 -0.161384E+00 -0.114838E-01 12 0.761200E+01 0.413463E+00 -0.208960E+00 -0.112577E-01 13 0.891360E+01 0.277521E+00 -0.248533E+00 -0.103063E-01 14 0.103127E+02 0.146127E+00 -0.277392E+00 -0.996830E-02 15 0.118079E+02 0.227387E-01 -0.294081E+00 -0.110804E-01 16 0.133975E+02 -0.907329E-01 -0.298295E+00 -0.137561E-01 17 0.150798E+02 -0.193460E+00 -0.290565E+00 -0.173259E-01 18 0.168530E+02 -0.285392E+00 -0.271938E+00 -0.205731E-01 19 0.187153E+02 -0.367063E+00 -0.243784E+00 -0.222179E-01 20 0.206647E+02 -0.439319E+00 -0.207937E+00 -0.213575E-01 21 0.226990E+02 -0.503025E+00 -0.166674E+00 -0.179514E-01 22 0.248160E+02 -0.558842E+00 -0.122181E+00 -0.124134E-01 23 0.270136E+02 -0.607155E+00 -0.760280E-01 -0.572161E-02 24 0.292893E+02 -0.648489E+00 -0.292931E-01 -0.540000E-05 25 0.316408E+02 -0.683532E+00 0.172037E-01 0.299210E-02 26 0.340654E+02 -0.713070E+00 0.628441E-01 0.269479E-02 27 0.365607E+02 -0.737881E+00 0.107087E+00 -0.375448E-03 28 0.391239E+02 -0.758053E+00 0.149345E+00 -0.507511E-02 29 0.417522E+02 -0.773709E+00 0.188870E+00 -0.107772E-01 30 0.444430E+02 -0.785632E+00 0.224974E+00 -0.164645E-01 31 0.471932E+02 -0.795075E+00 0.257137E+00 -0.205571E-01 32 0.500000E+02 -0.803339E+00 0.284961E+00 -0.221320E-01 33 0.528603E+02 -0.810989E+00 0.308164E+00 -0.223383E-01 34 0.557711E+02 -0.818191E+00 0.326473E+00 -0.223804E-01 35 0.587293E+02 -0.825529E+00 0.339537E+00 -0.215942E-01 36 0.617317E+02 -0.833113E+00 0.347012E+00 -0.192003E-01 37 0.647750E+02 -0.840396E+00 0.348600E+00 -0.154469E-01 38 0.678561E+02 -0.846474E+00 0.343975E+00 -0.111305E-01 39 0.709715E+02 -0.849899E+00 0.332937E+00 -0.594301E-02 40 0.741181E+02 -0.848521E+00 0.315524E+00 -0.138333E-02 41 0.772924E+02 -0.839839E+00 0.292074E+00 0.159500E-03 42 0.804910E+02 -0.822148E+00 0.263038E+00 -0.258395E-02 43 0.837105E+02 -0.795393E+00 0.228735E+00 -0.806905E-02 44 0.869474E+02 -0.761472E+00 0.189537E+00 -0.123954E-01 45 0.901983E+02 -0.724573E+00 0.146075E+00 -0.138796E-01 46 0.934597E+02 -0.690103E+00 0.992651E-01 -0.140641E-01 47 0.967281E+02 -0.664848E+00 0.501974E-01 -0.145815E-01 48 0.100000E+03 -0.655549E+00 0.000000E+00 -0.149681E-01 j y+ u_flat v_flat w_flat 0 0.000000E+00 0.151731E-53 0.784644E-63 0.497343E-59 1 0.535000E-01 0.440843E+01 0.270879E+02 0.941737E+01 2 0.214100E+00 0.441322E+01 0.265333E+02 0.923925E+01 3 0.481500E+00 0.442024E+01 0.256236E+02 0.894917E+01 4 0.855500E+00 0.442357E+01 0.243956E+02 0.855831E+01 5 0.133570E+01 0.440662E+01 0.229110E+02 0.808410E+01 6 0.192150E+01 0.433897E+01 0.212583E+02 0.755239E+01 7 0.261230E+01 0.418380E+01 0.195371E+02 0.699784E+01 8 0.340740E+01 0.392198E+01 0.178350E+02 0.645794E+01 9 0.430600E+01 0.357560E+01 0.162113E+02 0.596277E+01 10 0.530700E+01 0.319998E+01 0.146977E+02 0.552769E+01 11 0.640940E+01 0.285175E+01 0.133042E+02 0.515611E+01 12 0.761200E+01 0.256684E+01 0.120232E+02 0.484518E+01 13 0.891360E+01 0.235837E+01 0.108435E+02 0.458833E+01 14 0.103127E+02 0.222436E+01 0.976101E+01 0.437674E+01 15 0.118079E+02 0.215554E+01 0.878015E+01 0.420073E+01 16 0.133975E+02 0.214031E+01 0.790596E+01 0.405125E+01 17 0.150798E+02 0.216720E+01 0.713984E+01 0.392336E+01 18 0.168530E+02 0.222595E+01 0.647922E+01 0.381925E+01 19 0.187153E+02 0.230793E+01 0.591796E+01 0.374260E+01 20 0.206647E+02 0.240604E+01 0.544757E+01 0.368966E+01 21 0.226990E+02 0.251452E+01 0.505876E+01 0.365567E+01 22 0.248160E+02 0.262835E+01 0.474263E+01 0.364343E+01 23 0.270136E+02 0.274302E+01 0.449023E+01 0.365300E+01 24 0.292893E+02 0.285521E+01 0.429139E+01 0.367483E+01 25 0.316408E+02 0.296259E+01 0.413584E+01 0.369651E+01 26 0.340654E+02 0.306373E+01 0.401551E+01 0.370979E+01 27 0.365607E+02 0.315709E+01 0.392515E+01 0.371647E+01 28 0.391239E+02 0.324060E+01 0.386088E+01 0.372506E+01 29 0.417522E+02 0.331404E+01 0.381940E+01 0.374247E+01 30 0.444430E+02 0.337937E+01 0.379776E+01 0.376780E+01 31 0.471932E+02 0.344047E+01 0.379256E+01 0.379305E+01 32 0.500000E+02 0.350115E+01 0.379971E+01 0.381283E+01 33 0.528603E+02 0.356330E+01 0.381554E+01 0.382918E+01 34 0.557711E+02 0.362716E+01 0.383761E+01 0.384598E+01 35 0.587293E+02 0.369326E+01 0.386397E+01 0.386705E+01 36 0.617317E+02 0.376151E+01 0.389233E+01 0.388995E+01 37 0.647750E+02 0.383018E+01 0.392066E+01 0.390605E+01 38 0.678561E+02 0.389745E+01 0.394774E+01 0.390706E+01 39 0.709715E+02 0.396068E+01 0.397253E+01 0.389288E+01 40 0.741181E+02 0.401424E+01 0.399398E+01 0.387340E+01 41 0.772924E+02 0.404946E+01 0.401128E+01 0.385602E+01 42 0.804910E+02 0.405900E+01 0.402340E+01 0.383934E+01 43 0.837105E+02 0.403886E+01 0.403005E+01 0.382422E+01 44 0.869474E+02 0.398896E+01 0.403238E+01 0.381250E+01 45 0.901983E+02 0.391867E+01 0.403257E+01 0.380375E+01 46 0.934597E+02 0.384302E+01 0.403261E+01 0.379392E+01 47 0.967281E+02 0.378256E+01 0.403287E+01 0.378286E+01 48 0.100000E+03 0.375976E+01 0.403297E+01 0.377759E+01 Budget for k j y+ Diss Prod Turb_diff Visc_diff 0 0.000000E+00 -0.133725E+00 0.349341E-31 0.243774E-03 0.133482E+00 1 0.535000E-01 -0.133088E+00 0.826864E-07 0.468301E-03 0.132619E+00 2 0.214100E+00 -0.131373E+00 0.531652E-05 0.121610E-02 0.130152E+00 3 0.481500E+00 -0.129059E+00 0.609998E-04 0.249128E-02 0.126507E+00 4 0.855500E+00 -0.126646E+00 0.345582E-03 0.416525E-02 0.122135E+00 5 0.133570E+01 -0.124384E+00 0.132576E-02 0.645390E-02 0.116604E+00 6 0.192150E+01 -0.122096E+00 0.394621E-02 0.101969E-01 0.107954E+00 7 0.261230E+01 -0.119197E+00 0.974821E-02 0.163656E-01 0.930829E-01 8 0.340740E+01 -0.115074E+00 0.207026E-01 0.248720E-01 0.694996E-01 9 0.430600E+01 -0.109744E+00 0.385445E-01 0.333616E-01 0.378386E-01 10 0.530700E+01 -0.104167E+00 0.636974E-01 0.374845E-01 0.298606E-02 11 0.640940E+01 -0.997702E-01 0.943693E-01 0.332902E-01 -0.278892E-01 12 0.761200E+01 -0.975339E-01 0.126572E+00 0.199260E-01 -0.489635E-01 13 0.891360E+01 -0.974261E-01 0.155289E+00 0.304559E-03 -0.581673E-01 14 0.103127E+02 -0.985592E-01 0.176206E+00 -0.205004E-01 -0.571465E-01 15 0.118079E+02 -0.997795E-01 0.187005E+00 -0.376983E-01 -0.495276E-01 16 0.133975E+02 -0.100183E+00 0.187681E+00 -0.484948E-01 -0.390025E-01 17 0.150798E+02 -0.993220E-01 0.179984E+00 -0.523860E-01 -0.282758E-01 18 0.168530E+02 -0.971382E-01 0.166506E+00 -0.505015E-01 -0.188662E-01 19 0.187153E+02 -0.938122E-01 0.149877E+00 -0.447208E-01 -0.113440E-01 20 0.206647E+02 -0.895895E-01 0.132265E+00 -0.369202E-01 -0.575497E-02 21 0.226990E+02 -0.847024E-01 0.115177E+00 -0.285499E-01 -0.192431E-02 22 0.248160E+02 -0.793714E-01 0.994904E-01 -0.205837E-01 0.464494E-03 23 0.270136E+02 -0.738119E-01 0.856144E-01 -0.135827E-01 0.178017E-02 24 0.292893E+02 -0.681928E-01 0.736455E-01 -0.780297E-02 0.235035E-02 25 0.316408E+02 -0.626521E-01 0.634742E-01 -0.330267E-02 0.248060E-02 26 0.340654E+02 -0.573137E-01 0.548724E-01 0.360630E-04 0.240532E-02 27 0.365607E+02 -0.522280E-01 0.475839E-01 0.244757E-02 0.219644E-02 28 0.391239E+02 -0.474431E-01 0.413903E-01 0.418258E-02 0.187028E-02 29 0.417522E+02 -0.430266E-01 0.361245E-01 0.538277E-02 0.151940E-02 30 0.444430E+02 -0.390045E-01 0.316394E-01 0.613007E-02 0.123507E-02 31 0.471932E+02 -0.353642E-01 0.277854E-01 0.656002E-02 0.101879E-02 32 0.500000E+02 -0.320869E-01 0.244311E-01 0.681196E-02 0.843758E-03 33 0.528603E+02 -0.291476E-01 0.214719E-01 0.695261E-02 0.723111E-03 34 0.557711E+02 -0.265169E-01 0.188101E-01 0.703081E-02 0.676014E-03 35 0.587293E+02 -0.241440E-01 0.163655E-01 0.711121E-02 0.667304E-03 36 0.617317E+02 -0.220057E-01 0.141048E-01 0.725643E-02 0.644489E-03 37 0.647750E+02 -0.201030E-01 0.120232E-01 0.745996E-02 0.619816E-03 38 0.678561E+02 -0.184221E-01 0.101073E-01 0.768527E-02 0.629611E-03 39 0.709715E+02 -0.169465E-01 0.834248E-02 0.795125E-02 0.652826E-03 40 0.741181E+02 -0.156555E-01 0.672691E-02 0.826751E-02 0.661057E-03 41 0.772924E+02 -0.145342E-01 0.526228E-02 0.859805E-02 0.673887E-03 42 0.804910E+02 -0.135823E-01 0.395204E-02 0.891955E-02 0.710700E-03 43 0.837105E+02 -0.127849E-01 0.280449E-02 0.921466E-02 0.765759E-03 44 0.869474E+02 -0.121341E-01 0.183046E-02 0.948042E-02 0.823212E-03 45 0.901983E+02 -0.116287E-01 0.104525E-02 0.972314E-02 0.860255E-03 46 0.934597E+02 -0.112685E-01 0.468807E-03 0.992085E-02 0.878881E-03 47 0.967281E+02 -0.110585E-01 0.117527E-03 0.100381E-01 0.902801E-03 48 0.100000E+03 -0.109916E-01 -0.309200E-06 0.100735E-01 0.918403E-03 5. References 5.1 Kuroda, A., Kasagi, N. and Hirata, M., "A direct Numerical Simulation of the Fully Developed Turbulent Channel Flow," International Symposium on Computational Fluid Dynamics, Nagoya, 1989, pp. 1174-1179; also in Numerical Methods in Fluid Dynamics, M. Yasuhara et al. eds., Vol. 2, Jap. Soc. Comp. Fluid Dyn., 1990, pp. 1012-1017. 5.2 Kuroda, A., "Direct Numerical Simulation of Couette-Poiseuille Flows," Dr. Eng. Thesis, the University of Tokyo, Dec. 1990. (EOF)