Construction of a difference scheme for Navier-Stokes equations on unstructured grids

被引：3

作者：

Popov, I. V. ^{[1
]}

Fryazinov, I. V. ^{[1
]}

Stanichenko, M. Yu. ^{[2
]}

Taimanov, A. V. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Math Modelling, Moscow 125047, Russia

[2] Moscow MV Lomonosov State Univ, Moscow 119899, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2008年 / 23卷 / 05期

关键词：

D O I：

10.1515/RJNAMM.2008.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New approximations of Navier-Stokes equations for an incompressible fluid on triangular and tetrahedral grids are proposed using a predictor-corrector method. Estimates of the unconditional stability of constructed schemes and numerical Solutions of a two-dimensional problem of fluid flow in a cavity with a moving upper lid are presented. A comparison with results of other authors is given. The problems of monotonicity of grid equations are discussed.

引用

页码：487 / 503

页数：17

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