Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MM_2004_16_3_a9, author = {D. A. Machin and B. N. Chetverushkin}, title = {Kinetic and {Lattice} {Boltzmann} schemes}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {87--94}, publisher = {mathdoc}, volume = {16}, number = {3}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2004_16_3_a9/} }
D. A. Machin; B. N. Chetverushkin. Kinetic and Lattice Boltzmann schemes. Matematičeskoe modelirovanie, Tome 16 (2004) no. 3, pp. 87-94. http://geodesic.mathdoc.fr/item/MM_2004_16_3_a9/
[1] Chetverushkin B. N., Kineticheski-soglasovannye skhemy v gazovoi dinamike, Izd. MGU, M, 1999, 232 pp.
[2] Succi S., The lattice Boltzmann equations for fluid dymanics and beyond, Clarendon press, Oxford, 2001, 238 pp. | MR | Zbl
[3] Tsatuchara Tahada, Kataoka, Lattice Gas and Lattice Boltzmann methods–New methods of Computational Fluid Dynamics, Corona Publishing Co., Tokyo, Japan, 1999, 162 pp. (in Japanese)
[4] Arnal M, Laurel O., Like Z, Peric M., In AGAMM workshop Notel on Numerical Fluid Mechanics, 36, eds. M. Devill, T-Hee, Yu Morckois, Braunschweig, 1992
[5] Chetverushkin B. N., “Kineticheskie skhemy i vysokoproizvoditelnye mnogoprotsessornye vychisleniya v gazovoi dinamike” (to appear)
[6] Onate E., “Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems”, Comput. Math. Appl. Mech. Eng., 151 (1998), 233–265 | DOI | MR | Zbl
[7] Volchinskaya M. I., Pavlov A. N, Chetverushkin B. N., Ob odnoi skheme integrirovaniya uravnenii gazovoi dinamiki, Preprint 113, IPM im. M. V. Keldysha AN SSSR, 1983, 12 pp. | MR
[8] Mc. Namara G., Zanetti G., “Use of the Boltzmann equation to simulate lattice gas automata”, Phys. Rev. Lett., G1:2332 (1988)
[9] Hiquera F., Jimenez J., “Boltzmann approach to lattice gas simulation”, Europhys. Lett., 9.663 (1989)
[10] Frisch U., Hasslacher B., Pomeau Y., “Lattice gas automata for the Navier–Stokes equations”, Phys. Rev. Lett., 56:1505 (1986) | Zbl
[11] Livov R., Vvedenie v teoriyu kineticheskikh uravnenii, Mir, M., 1974, 371 pp.
[12] Elizarova T. G., Chetverushkin B. N., “Ispolzovanie kineticheskikh modelei dlya rascheta gazodinamicheskikh techenii”, Mat. modelirovanie. Protsessy v nelineinykh sredakh, Nauka, M., 1986, 261–278 | MR
[13] Gruar I. A., Dorodnitsyn L. V., Elizarova T. E., Chetverushkin B. N., Kineticheski-soglasovannye skhemy gazovoi dinamiki s nepolnoi korrektsiei, Preprint 5, IPM im. M. V. Keldysha AN SSSR, 1987, 21 pp.
[14] Dorodnitsyn L. V., Chetverushkin B. N., “Kineticheski-soglasovannye skhemy dlya modelirovaniya techenii vyazkogo gaza”, Zhurn. vychisl. matem. i matem. fiziki, 40:12 (2000), 1875–1889 | MR | Zbl
[15] Chetverushkin B. N., Churbanova N. G., Jakobovski M., Romanykha N., “Simulation of combustion problems using multiprocessor computer system”, Parallel CAB 2002, A collection of abstracts, Japan, Kyoto, 208–211