Splitting techniques for the Navier-Stokes equations

被引：0
|
作者：
Haschke, H [1 ]
Heinrichs, W [1 ]
机构：
[1] Univ Essen Gesamthsch, D-45141 Essen, Germany
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2001年 / 81卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A pseudo spectral approximation for the Navier-Stokes equations is presented. After considering the unsteady Stokes equations we use the Uzawa algorithm to decouple the spectral system into Helmholtz equations for the velocity components and an equation with the Pseudo-Laplacian for the pressure. In order to avoid spurious modes the pressure is approximated with polynomials of one degree lower than the velocity on staggered grids. For the time discretization a high order backward differentiation scheme for the intermediate velocity,is combined with a high order extrapolant for the pressure.
引用
收藏
页码：S763 / S764
页数：2
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