Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 2, pp. 239-255 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2001_41_2_a6,
     author = {T. G. Elizarova and Yu. V. Sheretov},
     title = {Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {239--255},
     year = {2001},
     volume = {41},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_2_a6/}
}
TY  - JOUR
AU  - T. G. Elizarova
AU  - Yu. V. Sheretov
TI  - Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2001
SP  - 239
EP  - 255
VL  - 41
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_2_a6/
LA  - ru
ID  - ZVMMF_2001_41_2_a6
ER  - 
%0 Journal Article
%A T. G. Elizarova
%A Yu. V. Sheretov
%T Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2001
%P 239-255
%V 41
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_2_a6/
%G ru
%F ZVMMF_2001_41_2_a6
T. G. Elizarova; Yu. V. Sheretov. Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 2, pp. 239-255. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_2_a6/

[1] Volchinskaya M. I., Pavlov A. N., Chetverushkin B. N., Ob odnoi skheme integrirovaniya uravnenii gazovoi dinamiki, Preprint No 113, IPMatem. AN SSSR, M., 1983, 12 pp. | MR

[2] Elizarova T. G., Pavlov A. N., Chetverushkin B. N., Ispolzovanie kineticheskoi modeli dlya vyvoda uravnenii, opisyvayuschikh gazodinamicheskie techeniya, Preprint No 144, IPMatem. AN SSSR, M., 1983, 12 pp.

[3] Elizarova T. G., Chetverushkin B. N., “Ispolzovanie kineticheskikh modelei dlya rascheta gazodinamicheskikh techenii”, Matem. modelirovanie: protsessy v nelineinykh sredakh, Nauka, M., 1986, 261–278 | MR

[4] Elizarova T. G., Pavlov A. N., Chetverushkin B. N., “Ispolzovanie kvazigazodinamicheskoi sistemy uravnenii dlya rascheta obtekaniya tela s igloi”, Dokl. AN SSSR, 292:2 (1987), 327–331 | MR

[5] Reitz R. D., “One-dimensional compressible gas dynamic calculations using the Boltzmann equation”, J. Comput. Phys., 42:1 (1981), 108–123 | DOI | MR | Zbl

[6] Aristov V. V., Cheremisin F. G., “Reshenie uravnenii Eilera i Nave-Stoksa na osnove operatornogo rasschepleniya kineticheskogo uravneniya”, Dokl. AN SSSR, 272:3 (1983), 555–559 | MR | Zbl

[7] Deshpande S. M., Mandal J. C., “Kinetic theory based new upwind methods for inviscid compressible flow”, Theor. and Appl. Mech. Sofia, 19:3 (1988), 32–38 | MR

[8] Sheretov Yu. V., “Ob odnoi novoi matematicheskoi modeli v gidrodinamike”, Primenenie funkts. analiza v teorii priblizhenii, Tverskoi gos. un-t, Tver, 1996, 124–134

[9] Sheretov Yu. V., “Kvazigidrodinamicheskie uravneniya kak model techenii szhimaemoi vyazkoi teploprovodnoi sredy”, Primenenie funkts. analiza v teorii priblizhenii, Tverskoi gos. un-t, Tver, 1997, 127–155

[10] Elizarova T. G., Sheretov Yu. V., “Invariantnyi vid i asimptoticheskie svoistva obobschennoi kvazigazodinamicheskoi sistemy”, Zh. vychisl. matem. i matem. fiz., 31:7 (1991), 1042–1050 | MR | Zbl

[11] Elizarova T. G., Sheretov Yu. V., O svoistvakh reshenii tipa udarnoi volny dlya kvazigazodinamicheskikh uravnenii, Preprint No 156, IPMatem. AN SSSR, M., 1990, 15 pp. | MR

[12] Sheretov Yu. V., “O tochnykh resheniyakh kvazigidrodinamicheskikh uravnenii”, Primenenie funkts. analiza v teorii priblizhenii, Tverskoi gos. un-t, Tver, 1998, 213–241

[13] Sheretov Yu. V., “O edinstvennosti reshenii odnoi dissipativnoi sistemy uravnenii gidrodinamicheskogo tipa”, Matem. modelirovanie, 6:10 (1994), 35–45 | MR | Zbl

[14] Graur I. A., Elizarova T. G., Sheretov Yu. V., Raschet struktury nepodvizhnoi udarnoi volny na osnove kvazigazodinamicheskikh uravnenii, Preprint No 42, Vses. tsentr matem. modelirovaniya RAN, M., 1992, 20 pp.

[15] Elizarova T. G., Graur I. A., Lengrand J.-C., Chpoun A., “Rarefied gas flow simulation based on quasigasdynamic equations”, AIAA Journal, 33:12 (1995), 2316–2324 | DOI | Zbl

[16] Gurov D. B., Elizarova T. G., Sheretov Yu. V., “Chislennoe modelirovanie techenii zhidkosti v kaverne na osnove kvazigidrodinamicheskoi sistemy uravnenii”, Matem. modelirovanie, 8:7 (1996), 33–44 | Zbl

[17] Elizarova T. G., Kalachinskaya I. S., Klyuchnikova A. V., Sheretov Yu. V., “Ispolzovanie kvazigidrodinamicheskoi sistemy uravnenii dlya modelirovaniya techenii teploprovodnoi zhidkosti”, Matematika, kompyuter, obrazovanie, Tr. IV mezhdunar. konf., Puschino, 1997, 108–115

[18] Elizarova T. G., Kalachinskaya I. S., Klyuchnikova A. V., Sheretov Yu. V., “Ispolzovanie kvazigidrodinamicheskikh uravnenii dlya modelirovaniya teplovoi konvektsii pri malykh chislakh Prandtlya”, Zh. vychisl. matem. i matem. fiz., 38:10 (1998), 1732–1742 | MR | Zbl

[19] Chetverushkin B. N., Kineticheski-soglasovannye skhemy v gazovoi dinamike, Izd-vo MGU, M., 1999

[20] Slezkin N. A., “O differentsialnykh uravneniyakh dvizheniya gaza”, Dokl. AN SSSR, 77:2 (1951), 205–208 | MR | Zbl

[21] Vallander S. V., “Uravneniya dvizheniya vyazkogo gaza”, Dokl. AN SSSR, 58:1 (1951), 25–27 | MR

[22] Klimontovich Yu. L., Statisticheskaya teoriya otkrytykh sistem, YaNUS, M., 1995

[23] Alekseev B. V., “Obobschennaya boltsmanovskaya fizicheskaya kinetika”, Teplofiz. vysokikh t-r, 35:1 (1997), 129–146

[24] Sedov L. I., Mekhanika sploshnoi sredy, Nauka, M., 1976 | Zbl

[25] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1987 | MR

[26] Berd G., Molekulyarnaya gazovaya dinamika, Mir, M., 1981

[27] Lifshits E. M., Pitaevskii L. P., Fizicheskaya kinetika, Nauka, M., 1979 | MR | Zbl

[28] Landau L. D., Lifshits E. M., Gidrodinamika, Nauka, M., 1986 | MR

[29] Elizarova T. G., Sheretov Yu. V., Invariantnyi vid sistemy kvazigazodinamicheskikh uravnenii i ee svyaz s uravneniyami Nave-Stoksa, Preprint No 230, IPMatem. AN SSSR, M., 1987, 18 pp. | MR

[30] Gershuni G. Z., Zhukhovitskii E. M., Konvektivnaya ustoichivost neszhimaemoi zhidkosti, Nauka, M., 1972

[31] Sheretov Yu. V., “Kvazigidrodinamicheskaya model techenii elektroprovodnoi vyazkoi zhidkosti v elektromagnitnom pole”, Primenenie funkts. analiza v teorii priblizhenii, Tverskoi gos. un-t, Tver, 1997, 155–169

[32] Elizarova T. G., Graur I. A., Chpoun A., Lengrand J.-C., “Comparison of continuum and molecular approaches for the flow around a perpendicular disk”, Shock Waves, Proc. 20-th Internat. Symp. (Pasadena, USA, 1995), World Scientific, 1997, 795–800

[33] De Vahl Davis G., Jones I. P., “Natural convection in a square cavity — a comparison exercise”, Int. J. Numer. Meth. in Fluids, 1983, no. 3, 227–248 | Zbl

[34] Vabischevich P. H., Makarov M. M., Chudanov V. V., Churbanov A. G., Chislennoe modelirovanie konvektivnykh techenii v peremennykh “funktsiya toka, vikhr skorosti, temperatura”, Preprint No 28, IMM RAN, M., 1993, 20 pp.

[35] Sheretov Yu. V., “Raznostnye skhemy gidrodinamiki v eilerovykh i lagranzhevykh koordinatakh na osnove kvazigazodinamicheskikh i kvazigidrodinamicheskikh uravnenii”, Primenenie funkts. analiza v teorii priblizhenii, Tverskoi gos. un-t, Tver, 1999, 184–208