Geodesic
A method for designing algorithms to compute viscous incompressible flows
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1719-1727 
D. B. Gurov; T. G. Elizarova. A method for designing algorithms to compute viscous incompressible flows. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1719-1727. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A new way of regularizing difference schemes for solving the viscous incompressible Navier–Stokes equations is proposed, based on a formal generalization of the “kinetically compatible” differences schemes designed previously for viscous gas flow computations. As a model problem the flow of an isothermal fluid in a plane cavity is considered.

[1] Rouch P., Vychislitelnaya gidrodinamika, Mir, M., 1980 | Zbl

[2] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR

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

[4] Belotserkovskii O. M., Chislennoe modelirovanie v mekhanike sploshnykh sred, Nauka, M., 1984 | MR

[5] Elizarova T. G., Chetverushkin B. N., “Kineticheskie algoritmy dlya rascheta gazodinamicheskikh techenii”, Zh. vychisl. matem. i matem. fiz., 25:10 (1985), 1526–1533 | MR

[6] Elizarova T. G., Chetverushkin B. N., “Kineticheski-soglasovannye raznostnye skhemy dlya modelirovaniya techenii vyazkogo teploprovodnogo gaza”, Zh. vychisl. matem. i matem. fiz., 28:11 (1988), 1695–1710 | MR | Zbl

[7] Gurov D. B., Elizarova T. G., Ob odnom sposobe regulyarizatsii pri raschetakh techenii vyazkoi neszhimaemoi zhidkosti, Preprint No 102, IPMatem. AN SSSR, M., 1989

[8] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1983 | MR

[9] Ghia U., Ghia K. N., Shin C. T., “High-Re solution for incompressible flow using the Navier-Stokes equations and a multigrid method”, J. Comput. Phys., 48 (1982), 387–411 | DOI | Zbl

[10] Goncharov A. L., Fryazinov I. V., “Raznostnye skhemy na devyatitochechnom shablone “krest” resheniya uravnenii Nave–Stoksa”, Zh. vychisl. matem. i matem. fiz., 28:6 (1988), 867–878 | MR