Geodesic
Direct numerical simulation of the vortical system evolution in rarefied gas
Matematičeskoe modelirovanie, Tome 19 (2007) no. 2, pp. 39-47.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper two-dimensional problem on evolution of the vortical system in the rarefied gas flow with periodic boundary conditions and the special initial Taylor–Green type conditions is considered. The direct simulation Monte-Carlo method was used for problem solution. Results of numerical simulation in the context of dynamics of vortical structures in the turbulent flow are presented. The data obtained allow to trace the initial stage of evolution and to define the spectral properties of the flow. 
@article{MM_2007_19_2_a3,
     author = {Yu. I. Khlopkov and I. V. Voronich and O. I. Rovenskaya},
     title = {Direct numerical simulation of the vortical system evolution in rarefied gas},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {39--47},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_2_a3/}
}
TY  - JOUR
AU  - Yu. I. Khlopkov
AU  - I. V. Voronich
AU  - O. I. Rovenskaya
TI  - Direct numerical simulation of the vortical system evolution in rarefied gas
JO  - Matematičeskoe modelirovanie
PY  - 2007
SP  - 39
EP  - 47
VL  - 19
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2007_19_2_a3/
LA  - ru
ID  - MM_2007_19_2_a3
ER  - 
%0 Journal Article
%A Yu. I. Khlopkov
%A I. V. Voronich
%A O. I. Rovenskaya
%T Direct numerical simulation of the vortical system evolution in rarefied gas
%J Matematičeskoe modelirovanie
%D 2007
%P 39-47
%V 19
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2007_19_2_a3/
%G ru
%F MM_2007_19_2_a3
Yu. I. Khlopkov; I. V. Voronich; O. I. Rovenskaya. Direct numerical simulation of the vortical system evolution in rarefied gas. Matematičeskoe modelirovanie, Tome 19 (2007) no. 2, pp. 39-47. http://geodesic.mathdoc.fr/item/MM_2007_19_2_a3/

[1] Belotserkovskii O. M., Oparin A. M., Chechetkin V. M., Turbulentnost: novye podkhody, Nauka, M., 2003

[2] Bird G. A., “The Initiation of Centrifugal Instabilities in an Axially Symmetric Flow”, Proc. of 20th International Symposium on Rarefied Gas Dynamics, 1997, 149–154

[3] Aristov V. V., “Reshenie uravneniya Boltsmana pri malykh chislakh Knudsena”, Zh. vychisl. matem. i matem. fiz., 44:6 (2004), 1127–1140 | MR | Zbl

[4] Frik P. G., Turbulentnost: podkhody i modeli, Institut kompyuternykh issledovanii, Moskva-Izhevsk, 2003

[5] Rutgers M. A., “Forced 2D Turbulence: Experimental Evidence of Simultaneous Inverse Energy and Forward Enstrophy Cascades”, Physical Review Letters, 81 (1998), 2244–2247 | DOI

[6] Sakurai A., Takayama F., “Molecular Kinetic Approach to the Problem of Compressible Turbulence”, Physics of Fluids, 15 (2003), 1282–1294 | DOI

[7] Taylor G. I., Green A. E., “Mechanism of the Production of Small Eddies from Large Ones”, Proc. Roy. Soc. London Ser. A, 158 (1937), 499 | DOI | Zbl

[8] Belotserkovskii O. M., Yanitskii V. E., “Statisticheskii metod chastits v yacheikakh dlya resheniya zadach dinamiki razrezhennogo gaza 1, 2”, Zh. vychisl. matem. i matem. fiz., 15:5 (1975), 1195–1208 ; 6, 1553–1567 | MR

[9] Ivanov M. S., Rogazinskii S. V., Metod pryamogo statisticheskogo modelirovaniya v dinamike razrezhennogo gaza, Novosibirsk, Rotaprint VTs SO AN SSSR, 1988

[10] Bird G. A., Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Clarendon Press, Oxford, 1994 | MR

[11] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1967

[12] Fedosov D. A., Rogasinsky S. V., Zeifman M. I., Ivanov M. S., Alexeenko A. A., Levin D. A., “Analysis of Numerical Errors in the DSMC Method”, Proc. of 24th International Symposium on Rarefied Gas Dynamics, 2004, 589–594

[13] Voevodin V. V., Voevodin Vl. V., Parallelnye vychisleniya, BKhV-Peterburg, S.-Pb., 2002

[14] Antonov A. S., Parallelnoe programmirovanie s ispolzovaniem tekhnologii MPI, Izd-vo MGU, M., 2004

[15] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2001 | MR | Zbl