This article is cited in 4 papers

Splitting algorithms as applied to the Navier–Stokes equations

V. M. Kovenya, A. Yu. Slyunyaev

Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva, 6, Novosibirsk, 630090, Russia

Abstract: Implicit finite-difference schemes of approximate factorization and predictor-corrector schemes based on a special splitting of operators are proposed for the numerical solution of the Navier–Stokes equations governing a viscous compressible heat-conducting gas. The schemes are based on scalar tridiagonal Gaussian elimination and are unconditionally stable. The accuracy and efficiency of the algorithms are confirmed by computing two-dimensional flows of complex geometry.

Key words: viscous Navier–Stokes equations, implicit difference scheme, splitting method.

UDC: 519.634

Received: 01.04.2008
Revised: 02.09.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:4, 676–690

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