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
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
收藏
页码:487 / 503
页数:17
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