On a new version of the quasi-gas-dynamic system of equations
Matematičeskoe modelirovanie, Tome 15 (2003) no. 1, pp. 78-86.

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A modification of quasi-gas-dynamic system is proposed to extend its applicability on flows with high Mach numbers. Based on the kinetic background, a system of differential equations is constructed, for which similarity of characteristics is shown to both the original quasi-gasdynamic system and the Navier–Stokes equations, and besides, the entropy increasing property is deduced.
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L. W. Dorodnicyn; B. N. Chetverushkin. On a new version of the quasi-gas-dynamic system of equations. Matematičeskoe modelirovanie, Tome 15 (2003) no. 1, pp. 78-86. http://geodesic.mathdoc.fr/item/MM_2003_15_1_a7/

[1] B. N. Chetverushkin, Kineticheski-soglasovannye skhemy v gazovoi dinamike: novaya model vyazkogo gaza, algoritmy, parallelnaya realizatsiya, prilozheniya, Izd. MGU, M., 1999

[2] M. I. Volchinskaya, A. N. Pavlov, B. N. Chetverushkin, Ob odnoi skheme integrirovaniya uravnenii gazovoi dinamiki, Preprint No 113. IPM im. M. V. Keldysha AN SSSR, M., 1983 | MR | Zbl

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

[4] Yu. V. Sheretov, “Kvazigidrodinamicheskie uravneniya kak model techenii szhimaemoi vyazkoi teploprovodnoi sredy”, Primenenie funktsionalnogo analiza v teorii priblizhenii, Izd. TGU, Tver, 1997, 127–155

[5] L. V. Dorodnitsyn, B. N. Chetverushkin, N. G. Churbanova, “Kineticheski soglasovannye raznostnye skhemy i kvazigazodinamicheskaya sistema dlya modelirovaniya techenii plotnykh gazov i zhidkostei”, Matem. modelirovanie, 13:4 (2001), 47–57 | MR | Zbl

[6] M. A. Trapeznikova, M. S. Belotserkovskaya, B. N. Chetverushkin, “Analog kineticheski-soglasovannykh skhem dlya modelirovaniya zadachi filtratsii”, Matem. modelirovanie, 14:10 (2002), 69–76 | MR | Zbl

[7] E. Oñate, “Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems”, Comput. Meth. Appl. Mech. Engng., 151 (1998), 233–265 | DOI | MR

[8] E. Oñate, M. Manzan, Stabilization techniques for finite element analysis of convection-diffusion problems, Publication CIMNE No 183, Barcelona, Feb. 2000

[9] L. V. Dorodnitsyn, B. N. Chetverushkin, “Ob odnoi neyavnoi skheme dlya modelirovaniya dozvukovogo techeniya gaza”, Matem. modelirovanie, 9:5 (1997), 108–118 | MR | Zbl

[10] L. V. Dorodnitsyn, B. N. Chetverushkin, E. V. Shilnikov, “O neyavnykh kineticheski soglasovannykh skhemakh”, Matem. modelirovanie, 11:7 (1999), 64–74 | MR

[11] L. V. Dorodnitsyn, B. N. Chetverushkin, “Kineticheski soglasovannye skhemy dlya modelirovaniya techenii vyazkogo gaza”, Zh. vych. matem. i matem. fiz., 40:12 (2000), 1875–1889 | MR | Zbl

[12] I. V. Abalakin, B. N. Chetverushkin, “Primenenie kineticheski-soglasovannykh raznostnykh skhem kak modeli dlya opisaniya techenii umerenno razrezhennykh gazov”, Matem. modelirovanie, 5:5 (1993), 61–70 | MR | Zbl

[13] S. V. Bogomolov, “Povyshenie tochnosti metoda rasschepleniya dlya uravneniya Boltsmana”, Matem. modelirovanie, 11:10 (1999), 100–105

[14] I. V. Abalakin, B. N. Chetverushkin, “Kineticheski-soglasovannye raznostnye skhemy kak model dlya opisaniya gazodinamicheskikh techenii”, Matem. modelirovanie, 8:8 (1996), 17–36 | Zbl

[15] S. Chepmen, T. Kauling, Matematicheskaya teoriya neodnorodnykh gazov, IL, M., 1960 | MR

[16] L. V. Dorodnitsyn, “Entropiinaya teorema dlya semeistva kvazigazodinamicheskikh sistem uravnenii”, Matem. modelirovanie, 14:11 (2002), 3–9 | MR | Zbl