IJPAM: Volume 78, No. 4 (2012)

CALCULATION OF FLOWS OF A VISCOUS
INCOMPRESSIBLE LIQUIDS BY MEANS OF
ALGORITHMS OF THE RAISED ACCURACY

V.I. Kostin
Moscow State Academy of Water Transport
Block 1, Novodanilovskaya Enkh., 2
117105, Moscow, RUSSIAN FEDERATION


Abstract. This paper is devoted on the numerical simulations of incompressible stratified fluid. The implicit algorithm for solving the Navier-Stokes in Boussinesq approach equations based on the use of compact approximations of the third order for convective terms for equations is used. The diffusion terms of equations are approximated by the fourth order of accuracy. The results of the calculations are received.

Received: June 4, 2012

AMS Subject Classification: 76-XX

Key Words and Phrases: compact approximations, stratified medium, incompressible fluid

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 4