# Yang & Voke Flat Plate Transition LES data # # Uo = 9.6 m/s fst is about 5% # # Reynolds stress ww budget terms (m^3/(s^3 cm)) # (velocity unit is m/s and length unit is cm in the simulation) # averaged using 800 samples # # Convection term of w'w' # y/mm 25/mm 45/mm 95/mm 195/mm .015000 -.000020 .000010 -.000010 .000270 .046230 -.000360 -.000120 -.001120 .001620 .080030 -.001500 -.000710 -.004210 .003070 .116600 -.003790 -.001920 -.008270 .000340 .155800 -.007540 -.003810 -.013100 -.011800 .198500 -.012890 -.006330 -.021520 -.027810 .245000 -.020200 -.009470 -.032910 -.036070 .295285 -.029370 -.012970 -.042410 -.033910 .349785 -.040530 -.016420 -.047460 -.027320 .408500 -.052810 -.019230 -.050910 -.026900 .472000 -.065380 -.022010 -.054280 -.027830 .540500 -.075330 -.025220 -.057290 -.023170 .615000 -.080350 -.028760 -.058060 -.016150 .695500 -.078160 -.031300 -.054590 -.015660 .782500 -.066660 -.030210 -.049830 -.014980 .877000 -.042240 -.022540 -.042840 -.007430 .979000 .000210 -.008260 -.037630 -.002050 1.089500 .063060 .009310 -.044540 -.005740 1.209000 .138130 .027280 -.054790 -.020460 1.338400 .206480 .046190 -.048990 -.044700 1.477900 .249280 .067960 -.027190 -.054310 1.629300 .258030 .090840 -.002770 -.028020 1.793800 .237860 .107470 .025850 .007200 1.971000 .200110 .108780 .050430 .002390 2.163000 .156380 .099180 .061620 -.047330 2.370500 .118060 .084230 .069010 -.092910 2.595000 .091320 .064970 .071670 -.093580 2.838500 .072770 .039000 .058750 -.078050 3.101500 .062380 .015530 .043740 -.058000 3.386000 .065930 .004790 .051700 -.030920 3.694500 .073700 .014740 .074990 -.027340 4.028000 .077680 .051100 .084620 -.019520 4.388500 .079420 .078020 .087950 .004360 4.779000 .088430 .084760 .086670 .019830 5.202000 .115070 .090490 .078950 .011310 5.659500 .155250 .120260 .071590 .012710 6.154000 .192780 .134050 .058030 .028130 6.689500 .206450 .130710 .063390 .030000 7.269000 .191220 .147580 .083060 .028920 7.896000 .193790 .159560 .083650 .037630 8.574500 .210000 .133520 .071960 .039230 9.308500 .201840 .070920 .056870 .037180 10.100000 .178160 .027980 .063110 .036960 10.960000 .138450 .124060 .060470 .038600 11.893499 .145190 .153050 .033850 .045020 12.900499 .212320 .144190 .076960 .039920 13.990499 .217140 .187790 .092780 .031300 15.170000 .197130 .139210 .114240 .042900 16.445999 .247830 .178870 .095010 .039680 17.826500 .270400 .196200 .093800 .040100 19.320499 .191450 .184470 .087230 .030410 20.937500 .208930 .107250 .105810 .031700 22.687500 .263600 .147080 .104160 .052830 24.578499 .305970 .174000 .082240 .059780 26.627499 .178890 .148040 .121420 .060820 28.847500 .342580 .271660 .150670 .109030 # # Production term of w'w' # y/mm 25/mm 45/mm 95/mm 195/mm .015000 .000000 .000000 .000000 .000000 .046230 .000000 .000000 .000000 .000000 .080030 .000000 .000000 .000000 .000000 .116600 .000000 .000000 .000000 .000000 .155800 .000000 .000000 .000000 .000010 .198500 .000000 .000000 .000000 .000020 .245000 .000000 .000010 .000000 .000030 .295285 .000000 .000010 .000000 .000060 .349785 -.000020 .000000 .000000 .000060 .408500 -.000040 .000000 .000000 .000020 .472000 -.000060 -.000010 .000000 -.000080 .540500 -.000080 -.000020 -.000010 -.000200 .615000 -.000090 -.000030 -.000030 -.000310 .695500 -.000100 -.000030 -.000040 -.000350 .782500 -.000110 -.000020 -.000040 -.000270 .877000 -.000110 .000000 -.000040 -.000090 .979000 -.000100 .000000 -.000070 .000100 1.089500 -.000040 -.000010 -.000140 .000210 1.209000 .000060 -.000040 -.000220 .000220 1.338400 .000190 -.000070 -.000170 .000110 1.477900 .000240 -.000110 .000020 -.000120 1.629300 .000130 -.000200 .000220 -.000310 1.793800 -.000160 -.000310 .000290 -.000410 1.971000 -.000580 -.000380 .000280 -.000410 2.163000 -.000950 -.000350 .000330 -.000290 2.370500 -.001100 -.000300 .000400 -.000160 2.595000 -.000850 -.000340 .000360 -.000050 2.838500 -.000280 -.000490 .000240 -.000160 3.101500 .000190 -.000630 .000190 -.000360 3.386000 .000310 -.000510 .000190 .000040 3.694500 .000040 -.000020 .000290 .000410 4.028000 -.000170 .000420 .000530 .000180 4.388500 -.000490 .000450 .000770 -.000040 4.779000 -.000420 .000080 .000730 -.000050 5.202000 -.000020 -.000130 .000560 -.000010 5.659500 .000280 -.000270 .000330 .000000 6.154000 .000590 -.000680 -.000030 .000000 6.689500 .000740 .000060 -.000400 -.000030 7.269000 -.000040 .000810 -.000590 .000090 7.896000 -.000750 .000920 -.000610 .000260 8.574500 -.000470 .000500 -.000100 .000320 9.308500 -.000860 -.000980 .000150 .000230 10.100000 .000580 -.000550 -.000260 .000420 10.960000 .000180 .001080 -.000120 .000170 11.893499 .000060 .000350 .000060 -.000170 12.900499 -.000520 .000160 -.000020 -.000160 13.990499 .000590 .000400 -.001870 -.000170 15.170000 -.000650 -.003200 -.002020 -.000410 16.445999 -.001850 -.001960 -.000300 -.000660 17.826500 -.000420 -.001320 -.001310 -.000230 19.320499 .000040 -.000710 -.001450 -.000130 20.937500 .000130 -.000770 .000860 .000180 22.687500 -.000130 -.000650 -.000370 .000450 24.578499 .000150 .000900 .000320 .000980 26.627499 -.000240 .000090 .000000 .000140 28.847500 -.000100 .000040 -.000020 .000080 # # Turbulence transport term of w'w' # y/mm 25/mm 45/mm 95/mm 195/mm .015000 -.000020 -.000030 .000270 .000780 .046230 -.000500 -.000620 .002150 .006190 .080030 -.002080 -.002420 -.001390 -.007990 .116600 -.005140 -.005890 -.021590 -.082110 .155800 -.009630 -.011340 -.052840 -.194110 .198500 -.014800 -.018590 -.075090 -.273840 .245000 -.019990 -.027500 -.083480 -.304060 .295285 -.023920 -.035870 -.083920 -.289780 .349785 -.026510 -.042450 -.083460 -.254810 .408500 -.027380 -.044970 -.076420 -.192730 .472000 -.028580 -.044800 -.064230 -.123310 .540500 -.031030 -.042170 -.055200 -.077590 .615000 -.035560 -.039470 -.050570 -.055190 .695500 -.041150 -.038770 -.046850 -.045590 .782500 -.046820 -.041710 -.038400 -.042290 .877000 -.054260 -.048410 -.028180 -.047020 .979000 -.067790 -.054800 -.014760 -.047830 1.089500 -.090620 -.055510 .005770 -.034330 1.209000 -.119640 -.050790 .024140 -.003740 1.338400 -.142300 -.045870 .027190 .036640 1.477900 -.142580 -.046860 .015070 .041640 1.629300 -.115440 -.051960 .008160 .017000 1.793800 -.067690 -.052460 -.008410 -.023680 1.971000 -.011180 -.036200 -.018050 -.013770 2.163000 .040680 -.008850 -.022100 .033130 2.370500 .078870 .024460 -.025140 .079840 2.595000 .098210 .060330 -.021850 .083700 2.838500 .102390 .095170 -.001440 .074810 3.101500 .092320 .121700 .022190 .060470 3.386000 .072450 .132950 .017150 .032090 3.694500 .050770 .117820 -.005630 .028560 4.028000 .024180 .068200 -.014290 .022530 4.388500 .021150 .037280 -.011000 .006690 4.779000 .018830 .028650 -.007480 -.003360 5.202000 .004240 .018380 -.002760 .007320 5.659500 -.007790 -.006510 .007460 .005760 6.154000 -.024510 -.002960 .019920 -.009030 6.689500 -.029330 .015910 .002280 -.010170 7.269000 -.007560 .008190 -.027390 -.006970 7.896000 -.007760 -.020810 -.026560 -.013480 8.574500 -.065620 -.017030 -.004380 -.010280 9.308500 -.040470 .043170 .025290 -.004690 10.100000 .007440 .100180 .019490 -.006130 10.960000 .033670 .017520 .015790 -.003780 11.893499 .031700 -.028490 .043330 -.015860 12.900499 -.010370 -.014400 -.008260 -.002870 13.990499 -.042160 -.069300 -.010100 .004440 15.170000 .013090 .005650 -.035490 -.002180 16.445999 -.037870 -.042980 -.021770 .005390 17.826500 -.072270 -.036510 -.012250 .002700 19.320499 .041920 -.010580 .005990 .011360 20.937500 .024690 .057380 .005530 .009810 22.687500 -.016260 .023450 -.001850 -.012500 24.578499 -.025660 .024580 .008890 -.008440 26.627499 .004930 -.005420 -.027880 -.014550 28.847500 -.209440 -.194940 -.106480 -.093690 # # Pressure term of w'w' (Pressure diffusion term is zero so this is also equal to strain term) # y/mm 25/mm 45/mm 95/mm 195/mm .015000 .026810 .031780 .139790 .403970 .046230 .066260 .078030 .336930 .975970 .080030 .096340 .112320 .473680 1.371620 .116600 .120070 .137950 .561540 1.617530 .155800 .140150 .157970 .611630 1.738320 .198500 .159210 .175370 .637290 1.764850 .245000 .178820 .192150 .650060 1.724600 .295285 .199540 .209400 .657380 1.642350 .349785 .221090 .227380 .661090 1.535260 .408500 .242400 .245590 .660230 1.415510 .472000 .261460 .262680 .652920 1.289410 .540500 .276130 .277020 .640410 1.168260 .615000 .284930 .287310 .623400 1.055790 .695500 .286520 .292420 .601100 .957340 .782500 .279750 .291430 .570890 .874830 .877000 .264010 .283830 .534060 .807610 .979000 .239280 .269450 .494730 .751860 1.089500 .205870 .248320 .455190 .701540 1.209000 .164670 .220920 .414870 .650340 1.338400 .117850 .188930 .373000 .595910 1.477900 .068740 .155400 .331500 .547860 1.629300 .020420 .121320 .285640 .500010 1.793800 -.022510 .088790 .243250 .464600 1.971000 -.057400 .056590 .203260 .428730 2.163000 -.079860 .026040 .166160 .397200 2.370500 -.088840 -.002190 .131290 .359080 2.595000 -.086440 -.025950 .099790 .314640 2.838500 -.076500 -.042440 .071120 .273010 3.101500 -.062610 -.051070 .044840 .238330 3.386000 -.046530 -.051820 .024550 .209330 3.694500 -.029270 -.049570 .010430 .180250 4.028000 -.012640 -.044570 -.002040 .151000 4.388500 -.008960 -.039160 -.014610 .121230 4.779000 -.012470 -.035850 -.022180 .096740 5.202000 -.025860 -.032820 -.025010 .074800 5.659500 -.042220 -.034000 -.029030 .054510 6.154000 -.048350 -.046010 -.027460 .039340 6.689500 -.052140 -.058900 -.015220 .027970 7.269000 -.056390 -.058550 -.004510 .018300 7.896000 -.047400 -.038520 -.002500 .008730 8.574500 -.006390 -.021250 -.012030 .002770 9.308500 -.012650 -.005370 -.019510 -.002380 10.100000 -.039840 -.014310 -.022310 -.003100 10.960000 -.016810 -.025790 -.017630 -.004950 11.893499 -.022230 -.010050 -.014540 -.002010 12.900499 -.027410 -.005710 -.004530 -.005810 13.990499 -.015530 -.001700 -.014130 -.003890 15.170000 -.045730 -.019350 -.010200 -.007800 16.445999 -.034920 -.004230 .001330 -.010600 17.826500 -.027130 -.032170 -.008060 -.010080 19.320499 -.063580 -.043170 -.016520 -.007680 20.937500 -.070880 -.043120 -.039720 -.005680 22.687500 -.080780 -.044560 -.026420 -.006010 24.578499 -.092330 -.058370 -.013850 -.011800 26.627499 -.028940 -.025480 -.023600 -.010040 28.847500 -.025830 .005580 .001490 .006410 # # Viscous term of w'w' (total) # y/mm 25/mm 45/mm 95/mm 195/mm .015000 -.026750 -.031750 -.140030 -.405030 .046230 -.065380 -.077280 -.337950 -.983780 .080030 -.092760 -.109190 -.468070 -1.366690 .116600 -.111120 -.130130 -.531660 -1.535770 .155800 -.122980 -.142820 -.545690 -1.532420 .198500 -.131510 -.150450 -.540680 -1.463200 .245000 -.138620 -.155190 -.533660 -1.384490 .295285 -.146230 -.160560 -.531050 -1.318700 .349785 -.154010 -.168520 -.530180 -1.253180 .408500 -.162140 -.181370 -.532910 -1.195890 .472000 -.167430 -.195850 -.534410 -1.138190 .540500 -.169680 -.209600 -.527900 -1.067290 .615000 -.168920 -.219040 -.514720 -.984140 .695500 -.167110 -.222310 -.499590 -.895730 .782500 -.166140 -.219490 -.482600 -.817270 .877000 -.167380 -.212860 -.462990 -.753050 .979000 -.171570 -.206390 -.442240 -.702070 1.089500 -.178250 -.202100 -.416270 -.661690 1.209000 -.183230 -.197370 -.384000 -.626380 1.338400 -.182240 -.189170 -.351010 -.587970 1.477900 -.175680 -.176390 -.319410 -.535060 1.629300 -.163150 -.159980 -.291260 -.488660 1.793800 -.147490 -.143470 -.260980 -.447690 1.971000 -.130940 -.128780 -.235910 -.416940 2.163000 -.116250 -.116020 -.206000 -.382710 2.370500 -.106990 -.106200 -.175560 -.345830 2.595000 -.102230 -.099010 -.149950 -.304700 2.838500 -.098380 -.091250 -.128660 -.269600 3.101500 -.092280 -.085520 -.110960 -.240440 3.386000 -.092180 -.085400 -.093600 -.210550 3.694500 -.095250 -.082980 -.080080 -.181890 4.028000 -.089050 -.075150 -.068810 -.154200 4.388500 -.091130 -.076590 -.063110 -.132240 4.779000 -.094370 -.077640 -.057740 -.113160 5.202000 -.093430 -.075920 -.051740 -.093420 5.659500 -.105520 -.079460 -.050350 -.072980 6.154000 -.120510 -.084390 -.050450 -.058450 6.689500 -.125720 -.087780 -.050060 -.047780 7.269000 -.127210 -.098030 -.050550 -.040350 7.896000 -.137870 -.101140 -.053980 -.033150 8.574500 -.137510 -.095740 -.055430 -.032040 9.308500 -.147840 -.107730 -.062820 -.030350 10.100000 -.146350 -.113280 -.060030 -.028140 10.960000 -.155480 -.116880 -.058500 -.030050 11.893499 -.154730 -.114860 -.062680 -.026970 12.900499 -.174010 -.124230 -.064140 -.031070 13.990499 -.160030 -.117180 -.066680 -.031690 15.170000 -.163850 -.122330 -.066510 -.032510 16.445999 -.173190 -.129690 -.074250 -.033800 17.826500 -.170560 -.126190 -.072170 -.032490 19.320499 -.169830 -.130000 -.075230 -.033960 20.937500 -.162870 -.120740 -.072470 -.036020 22.687500 -.166440 -.125330 -.075500 -.034750 24.578499 -.188130 -.141120 -.077610 -.040510 26.627499 -.154640 -.117220 -.069940 -.036380 28.847500 -.107200 -.082340 -.045650 -.021840 # # Viscous diffusion term of w'w' # y/mm 25/mm 45/mm 95/mm 195/mm .015000 .187558 .213718 .632957 1.933549 .046230 .180540 .204486 .501550 1.395767 .080030 .102674 .115461 .186612 .308618 .116600 .043655 .049306 -.007268 -.305107 .155800 -.002189 -.002400 -.110045 -.546339 .198500 -.029993 -.033974 -.147836 -.554985 .245000 -.032949 -.039875 -.127515 -.404666 .295285 -.027770 -.037330 -.109118 -.302612 .349785 -.010949 -.023591 -.076402 -.198409 .408500 -.005053 -.020858 -.072535 -.178466 .472000 .003344 -.014621 -.056333 -.139181 .540500 .008770 -.008523 -.042930 -.104604 .615000 .013735 -.001456 -.031919 -.072966 .695500 .011801 .002003 -.025152 -.049854 .782500 .005099 .000869 -.020155 -.034690 .877000 .000161 -.001700 -.014049 -.021942 .979000 -.007285 -.006441 -.011491 -.015867 1.089500 -.014112 -.010179 -.011022 -.014626 1.209000 -.018514 -.011053 -.010674 -.014505 1.338400 -.018504 -.010435 -.010713 -.012239 1.477900 -.019497 -.010333 -.009808 -.005559 1.629300 -.018879 -.009372 -.007092 -.002392 1.793800 -.017543 -.010698 -.004872 -.002420 1.971000 -.014041 -.012155 -.003203 -.002725 2.163000 -.009202 -.010222 -.001341 .000389 2.370500 -.003702 -.005367 -.001191 -.002126 2.595000 -.000677 -.001782 -.000516 -.002414 2.838500 .000908 -.001102 .000392 -.001244 3.101500 .001293 -.001908 .000083 -.000516 3.386000 .000242 -.001353 .000921 .000762 3.694500 -.000074 -.000243 .000684 .002100 4.028000 .005008 .003630 .000598 .003270 4.388500 .002707 .002851 -.000226 .001293 4.779000 .002274 .002502 .001565 .001499 5.202000 .002211 .001791 .001185 .001190 5.659500 .000916 .001312 .001395 .000966 6.154000 -.004914 -.001278 .001178 .000687 6.689500 .001359 -.000307 .000012 .001987 7.269000 .000811 .000227 .000917 .001585 7.896000 -.000520 .000813 .001057 .000942 8.574500 -.002099 -.000867 -.001155 .000225 9.308500 .000471 -.000500 -.000621 .000642 10.100000 -.000407 -.002194 -.000787 .000090 10.960000 .001996 .002751 .001418 .000184 11.893499 .000928 .000951 .000272 .000245 12.900499 -.000616 -.000206 .000074 .000087 13.990499 -.000751 -.000397 -.000161 .000023 15.170000 .000221 -.000588 -.000140 -.000045 16.445999 -.000396 -.000307 -.000036 .000023 17.826500 -.000034 .000621 .000146 .000017 19.320499 .000250 -.000830 -.000059 -.000031 20.937500 -.000013 .001112 -.000109 -.000052 22.687500 -.000086 -.000466 -.000027 .000054 24.578499 .000131 .000057 .000058 .000007 26.627499 -.000079 -.000135 -.000058 -.000063 28.847500 -.000072 -.000121 -.000052 -.000057 # # Viscous dissipation term of w'w' # y/mm 25/mm 45/mm 95/mm 195/mm .015000 .214308 .245468 .772987 2.338571 .046230 .245919 .281769 .839496 2.379494 .080030 .195433 .224658 .654672 1.975187 .116600 .154773 .179449 .524374 1.530473 .155800 .120788 .140439 .435617 1.385833 .198500 .101514 .116502 .392801 1.107925 .245000 .105668 .115348 .406083 .919503 .295285 .118457 .123271 .421848 .825739 .349785 .143057 .144977 .453675 .754392 .408500 .157081 .160568 .460257 .687012 .472000 .170763 .181293 .477947 .628570 .540500 .178433 .201149 .484831 .572237 .615000 .182632 .217665 .482654 .540733 .695500 .178884 .224404 .474284 .535456 .782500 .171212 .220462 .462282 .482179 .877000 .167520 .211274 .448770 .470716 .979000 .164275 .200074 .430577 .485805 1.089500 .164139 .192053 .405079 .446643 1.209000 .164726 .186453 .373162 .411424 1.338400 .163750 .178867 .340136 .425266 1.477900 .156194 .166178 .309442 .429050 1.629300 .144275 .150710 .284012 .435854 1.793800 .129948 .132851 .255963 .444893 1.971000 .116903 .116689 .232589 .413849 2.163000 .107059 .105864 .204581 .382745 2.370500 .103314 .100916 .174327 .343367 2.595000 .101599 .097321 .149425 .301972 2.838500 .099356 .090222 .129063 .268068 3.101500 .093637 .083652 .111043 .239682 3.386000 .092457 .084053 .094477 .211142 3.694500 .095184 .082729 .080667 .183897 4.028000 .094048 .078771 .069293 .157441 4.388500 .093820 .079432 .062772 .133524 4.779000 .096648 .080107 .059184 .114623 5.202000 .095649 .077658 .052803 .094551 5.659500 .106454 .080731 .051662 .073889 6.154000 .115607 .083124 .051593 .059087 6.689500 .127130 .087542 .050063 .049748 7.269000 .128099 .098336 .051483 .041962 7.896000 .137365 .102026 .055067 .034161 8.574500 .135445 .094882 .054239 .032373 9.308500 .148433 .107221 .062195 .031138 10.100000 .146016 .111100 .059274 .028377 10.960000 .157480 .119647 .059973 .030318 11.893499 .155615 .115890 .063044 .027282 12.900499 .173383 .124083 .064319 .031214 13.990499 .159309 .116799 .066573 .031702 15.170000 .164063 .121661 .066324 .032491 16.445999 .172774 .129336 .074238 .033867 17.826500 .170595 .126799 .072299 .032541 19.320499 .170144 .129128 .075213 .033958 20.937500 .162882 .121876 .072346 .035973 22.687500 .166293 .124880 .075416 .034791 24.578499 .188219 .141135 .077694 .040497 26.627499 .154633 .117152 .069797 .036299 28.847500 .107096 .082206 .045638 .021714