@article{ZVMMF_2015_55_2_a13,
author = {S. V. Fortova},
title = {Comparative analysis of eddy cascade formation in various turbulent problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {302--309},
year = {2015},
volume = {55},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a13/}
}
TY - JOUR AU - S. V. Fortova TI - Comparative analysis of eddy cascade formation in various turbulent problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 302 EP - 309 VL - 55 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a13/ LA - ru ID - ZVMMF_2015_55_2_a13 ER -
S. V. Fortova. Comparative analysis of eddy cascade formation in various turbulent problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 2, pp. 302-309. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a13/
[1] Belotserkovskii O. M., Fortova S. V., “Makroparametry prostranstvennykh techenii v svobodnoi sdvigovoi turbulentnosti”, Zh. vychisl. matem. i matem. fiz., 50:6 (2010), 1126–1139
[2] Belotserkovskii O. M., Fortova S. V., “Issledovanie kaskadnogo mekhanizma razvitiya turbulentnosti v svobodno-sdvigovom techenii”, Dokl. AN, 443:1 (2012), 1–4
[3] Fortova S. V., “Investigation of spectrum characteristics of the vortex cascades in shear flow”, Topical Issue of the Physica Scripta, 2013, PSTOP/366247/SPE/256146
[4] Fortova S. V., “Chislennoe modelirovanie trekhmernogo techeniya Kolmogorova dlya sdvigovogo sloya”, Zh. vychisl. matem. i matem. fiz., 53:3 (2013), 433–441 | DOI
[5] Fortova S. V., Kraginskii L. M., Chikitkin A. V., Oparina E. I., “Programmnyi paket dlya resheniya giperbolicheskikh sistem uravnenii”, Matem. modelirovanie, 25:5 (2013), 123–135
[6] Fortova S. V., “Vikhrevoi kaskad neustoichivostei i perekhod k turbulentnosti”, Zh. vychisl. matem. i matem. fiz., 54:3 (2014), 168–176
[7] Belotserkovskii O. M., Oparin A. M., Chechetkin V. M., Turbulentnost: novye podkhody, Nauka, M., 2002
[8] Landau L. D., Lifshits E. M., Mekhanika sploshnykh sred, Gostekhteorizdat, M., 1953
[9] Kolmogorov A. N., “Lokalnaya struktura turbulentnosti v neszhimaemoi zhidkosti pri ochen bolshikh chislakh Reinoldsa”, Dokl. AN SSSR, 30:4 (1941), 299–303
[10] Obukhov A. M., “O raspredelenii energii v spektre turbulentnogo potoka”, Izv. AN SSSR. Ser. geogr. i geofiz., 5:4 (1941), 453–466
[11] Belotserkovskii S. O., Mirabel A. P., Chusov M. A., “O postroenii zakriticheskogo rezhima dlya ploskogo periodicheskogo techeniya”, Izv. AN SSSR. Fiz. atmosf. i okeana, 14:1 (1978), 11–20
[12] Yudovich V. I., “Ob avtokolebaniyakh, voznikayuschikh pri potere ustoichivosti parallelnykh techenii vyazkoi zhidkosti otnositelno dlinnovolnovykh periodicheskikh vozmuschenii”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1973, no. 1, 32–35
[13] Troshkin O. V., “Dissipativnyi volchok na slabokompaktnoi algebre Li i ustoichivost osnovnykh techenii v ploskom kanale”, Dokl. AN, 442:2 (2012), 184–189
[14] Troshkin O. V., “K nelineinoi ustoichivosti techenii Kuetta, Puazeilya i Kolmogorova ploskom kanale”, Dokl. AN, 443:1 (2012), 29–33
[15] Troshkin O. V., “K nelineinoi ustoichivosti parabolicheskogo profilya v plosko periodicheskom kanale”, Zh. vychisl. matem. i matem. fiz., 53:11 (2013), 142–161
[16] Bondarenko N. F., Gak M. Z., Dolzhanskii F. V., “Laboratornaya i teoreticheskie modeli ploskogo periodicheskogo techeniya”, Izv. AN SSSR. Fiz. atmosf. i okeana, 15:10 (1979), 1017–1026
[17] Belotserkovskii O. M., Oparin A. M., Chislennyi eksperiment: ot poryadka k khaosu, Nauka, M., 2000, 106–130
[18] Yudovich V. I., “Primer rozhdeniya vtorichnogo statsionarnogo ili periodicheskogo techeniya pri potere ustoichivosti laminarnogo techeniya vyazkoi neszhimaemoi zhidkosti”, PMM, 29:3 (1965), 453–467
[19] Hoffman J., Johnson C., Computational turbulent incompressible flow, Springer, Berlin, 2007
[20] Rogers M. M., Moser R. D., “The three-dimensional evolution of a plane mixing layer: the Kelvin–Helmholtz rollup”, J. Fluid Mech., 243 (1992), 183–226 | DOI
[21] Moser R. D., Rogers M. M., “The three-dimensional evolution of a plane mixing layer: pairing and transition to turbulence”, J. Fluid Mech., 247 (1993), 275–320 | DOI
[22] Belotserkovskii O. M., Guschin V. A., Konshin V. N., “Metod rasschepleniya dlya issledovaniya techenii stratifitsirovannoi zhidkosti so svobodnoi poverkhnostyu”, Zh. vychisl. matem. i matem. fiz., 27:4 (1987), 594–609
[23] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1978
[24] Betchelor Dzh. K., Teoriya odnorodnoi turbulentnosti, Izd-vo inostr. lit., M., 1955
[25] Thomson W., “On the propagation of laminar motion through a turbulently moving inviscid liquid”, Phil. Mag. Ser. 5, 24:149 (1887), 342–353 | DOI
[26] Reynolds O., “On the Dynamical theory of incompressible viscous fluids and the determination of the criterion”, Phil. Trans. Roy. Soc. London Ser. A, 186 (1894), 123–164 | DOI
[27] Reynolds O., “An experimental investigation of the cirucumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels”, Phil. Trans. R. Soc. Lond., 184 (1883), 935–982 | DOI
[28] Kont-Bello Zh., Turbulentnoe techenie v kanale s parallelnymi stenkami, Mir, M., 1968