A hierarchy of second- and third-order turbulence models

O. F. Voropaeva

Matematičeskoe modelirovanie, Tome 19 (2007) no. 3, pp. 29-51.

Résumé

New numerical models of momentumless turbulent wakes behind an axisymmetric bodies based on the semi-empirical second- and third-order turbulence models has been constructed.

Bibliographie

[1] Naudascher E., “Flow in the wake of self-propelled bodies and related sources of turbulence”, J. Fluid Mech., 22:4 (1965), 625–656 | DOI | Zbl

[2] Lewellen W. S., Teske M. E., Donaldson C. D., “Application of turbulence model equations to axisymmetric wakes”, AIAA J., 12:5 (1974), 620–625 | DOI

[3] Meritt G. E., “Wake growth and collapse in stratified flow”, AIAA J., 12:7 (1974), 940–949 | DOI

[4] Gorodtsov V. A., “Avtomodelnost i slabye zamykayuschie sootnosheniya dlya simmetrichnoi svobodnoi turbulentnosti”, Izv. AN SSSR. MZhG, 1979, no. 1, 43–50 | MR | Zbl

[5] Hassid S., “Similarity and decay laws of momentumless wakes”, Phys. Fluids, 23:2 (1980), 404–405 | DOI

[6] Kolovandin B. A., Luchko N. N., “Chislennoe modelirovanie turbulentnogo polya skorosti osesimmetrichnogo bezympulsnogo sleda”, Teplomassoobmen-6, t. 1, ch. 2, ITMO AN BSSR, Minsk, 1980, 126–135

[7] Lytkin Yu. M., Chernykh G. G., “Podobie techeniya po plotnostnomu chislu Fruda i balans energii pri evolyutsii zony turbulentnogo smesheniya v stratifitsirovannoi srede”, Matematicheskie problemy mekhaniki sploshnykh sred, Sb. nauch. tr. AN SSSR. Sib. otd-nie, 47, In-t gidrodinamiki, 1980, 70–89

[8] Hassid S., “Collapse of turbulent wakes in stable stratified media”, J. Hydronautics, 14 (1980), 25–32 | DOI

[9] Shets Dzh., Turbulentnoe techenie. Protsessy vduva i peremeshivaniya, Mir, M., 1984

[10] Aleksenko N. V., Kostomakha V. A., Eksperimentalnoe issledovanie osesimmetrichnogo bezympulsnogo turbulentnogo struinogo techeniya, PMTF, no. 1, 1987

[11] Lesnova N.V., Vzaimodeistvie izotropnykh turbulentnykh potokov v otsutstvie sdviga srednei skorosti, Diss. kand. fiz.-mat. nauk, Novosibirsk, 1988

[12] Chernykh G. G., Fedorova N. N., Kostomakha V. A., Lesnova N. V., “Experimental and numerical simulation of turbulent axisymmetric momentumless wake behind sphere”, Proceed. of ICMAR 92, Pt. 1 (Inst. of Theoret. and App. Mech. Novosibirsk. Aug. 31–Sept.4, 1992), Novosibirsk, 1992, 30–33

[13] Fedorova N. N., Chernykh G. G., “O chislennom modelirovanii bezympulsnogo turbulentnogo sleda za sferoi”, Modelirovanie v mekhanike, 6(23), Vychislitelnyi tsentr. In-t teor. i prikl. mekhaniki. Sib. otd-nie. RAN, Novosibirsk, 1992, 129–140

[14] Demenkov A. G., Chernykh G. G., “O chislennom modelirovanii struinykh techenii vyazkoi neszhimaemoi zhidkosti”, Vychislitelnye tekhnologii, 4:12 (1995), 119–131

[15] Chernykh G. G., Demenkov A. G., “Numerical models of jet flows of a viscous incompressible fluid”, RJNAMM, 12:2 (1997), 111–125 | MR | Zbl

[16] Demenkov A. G., Chislennoe modelirovanie turbulentnykh sledov v odnorodnoi zhidkosti, Diss. kand. fiz.-mat. nauk, Novosibirsk, 1997 | Zbl

[17] Pequet J., Turbulent flows. Models and physics, Springer, Berlin, 1999 | MR

[18] Voropaeva O. F., “Chislennoe modelirovanie bezympulsnykh turbulentnykh sledov za sferoi”, Vychislitelnye tekhnologii, 6:2 (2001), 188–194 | MR

[19] Voropaeva O. F., “Chislennoe issledovanie bezympulsnykh turbulentnykh sledov za sferoi na osnove poluempiricheskikh modelei turbulentnosti vtorogo poryadka”, Vychislitelnye tekhnologii, 7:2 (2002), 11–23 | MR | Zbl

[20] Voropaeva O. F., “Chislennoe modelirovanie dalnego bezympulsnogo osesimmetrichnogo turbulentnogo sleda”, Vychislitelnye tekhnologii, 8:2 (2003), 36–52 | MR | Zbl

[21] Levellen V., “Metod invariantnogo modelirovaniya”, Turbulentnost. Printsipy i primeneniya, Mir, M., 1980, 262–310

[22] Rodi W., The prediction of free turbulent boundary layers by use of two-equation model of turbulence, Ph. D. Thesis, University of London, 1972

[23] Chernykh G. G., Voropayeva O. F., “Numerical modeling of momentumless turbulent wake dynamics in a linearly stratified medium”, Computers and Fluids, 28 (1999), 281–306 | DOI | Zbl

[24] Launder B. E., “On the effects of a gravitational field on the turbulent transport of heat and momentum”, J. Fluid Mech., 67 (1975), 659–681 | DOI

[25] Craft T. J., Ince N. Z., Launder B. E., “Recent developments in second-moment closure for buoyancy-affected flows”, Preprints of the Fourth Int. Symp. on Stratified Flows, General session, v. 2 (Grenoble. June 29–July 2, 1994), Grenoble Inst. of Mech., 1994, 1–16

[26] Daly B. J., Harlow F. H., “Transport equations of turbulence”, J. Phys. Fluids, 13 (1970), 2634–2649 | DOI

[27] Rodi W., “Examples of calculation methods for flow and mixing in stratified fluids”, J. Geophys. Res., 92:C5 (1987), 5305–5328 | DOI

[28] Metody rascheta turbulentnykh techenii, Mir, M., 1984

[29] Kurbatskii A. F., Modelirovanie nelokalnogo perenosa turbulentnogo impulsa i tepla, Nauka. Sib. otd-nie, Novosibirsk, 1988

[30] Monin A. S., Yaglom A. M., Statisticheskaya gidromekhanika, ch. 1, Gidrometeoizdat, Sankt-Peterburg, 1992

[31] Ilyushin B. B., “Higher-moment diffusion in stable stratification”, Closure strategies for turbulent and transition flows, eds. B. E. Launder, N. D. Sandham, University Press, Cambridge, 2002, 424–448 | MR | Zbl

[32] Yanenko N. N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, Sib. otd-nie AN SSSR, Novosibirsk, 1967 | MR

[33] Samarskii A. A., Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1971 | MR | Zbl

[34] Voropaeva O. F., Chernykh G. G., “Vnutrennie volny, generiruemye bezympulsnym turbulentnym sledom v lineino stratifitsirovannoi srede”, Matematicheskoe modelirovanie, 10:6 (1998), 75–89

[35] Sirviente A. I., Patel V. C., “Wake of a self-propelled body. Part 1: Momentumless wake”, AIAA J., 38:4 (2000), 613–619 | DOI

[36] Finson M. L., “Similarity behaviour of momentumless turbulent wakes”, J. Fluid Mech., 71:3 (1975), 465–479 | DOI