Geodesic
Analysis of the evolution of an eddy system based on the Boltzmann equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1609-1615 
O. I. Rovenskaya. Analysis of the evolution of an eddy system based on the Boltzmann equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1609-1615. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a14/
@article{ZVMMF_2007_47_9_a14,
     author = {O. I. Rovenskaya},
     title = {Analysis of the evolution of an eddy system based on the {Boltzmann} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1609--1615},
     year = {2007},
     volume = {47},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a14/}
}
TY  - JOUR
AU  - O. I. Rovenskaya
TI  - Analysis of the evolution of an eddy system based on the Boltzmann equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 1609
EP  - 1615
VL  - 47
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a14/
LA  - ru
ID  - ZVMMF_2007_47_9_a14
ER  - 
%0 Journal Article
%A O. I. Rovenskaya
%T Analysis of the evolution of an eddy system based on the Boltzmann equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 1609-1615
%V 47
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a14/
%G ru
%F ZVMMF_2007_47_9_a14

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

The Boltzmann equation is used to analyze the evolution of a two-dimensional eddy system in a viscous compressible gas with periodic boundary conditions and Taylor–Green initial conditions.

[1] Bird G. A., “The initiation of centrifugal instabilities in an axially symmetric flow”, Proc. 20th Internat. Symp. Rarefied Gas Dynamics, 1997, 149–154

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

[3] Tcheremissine F., “Direct numerical solution of the Boltzmann equation”, Proc. 24th Internat. Symp. Rarefied Gas Dynamics, 2004, 677–685

[4] Batchelor G. K., The theory of homogeneous turbulence, Cambridge Univ. Press, Cambridge, 1971 | Zbl

[5] Rutgers M. A., “Forced 2D turbulence: Experimental evidence of simultaneous inverse energy and forward enstrophy cascades”, Phys. Rev. Letts., 81 (1998), 2244–2247 | DOI

[6] Sakurai A., Takayama F., “Molecular kinetic approach to the problem of compressible turbulence”, Phys. 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] Girshfelder Dzh., Kertiss Ch., Berd R., Molekulyarnaya teoriya gazov i zhidkostei, Izd-vo inostr. lit., M., 1961

[9] Korobov N. M., Trigonometricheskie summy i ikh prilozheniya, Nauka, M., 1989 | MR | Zbl

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

[11] Voevodin V. V., Voevodin Vl. V., Parallelnye vychisleniya, BKhV-Peterburg, SPb., 2002

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