A Hermite finite element method for incompressible fluid flow

被引:14
|
作者
Holdeman, J. T.
机构
[1] Knoxville, TN 37932
关键词
divergence-free finite element; Hermite finite element; Navier-Stokes; incompressible flow; lid-driven cavity; backward-facing step; domain truncation;
D O I
10.1002/fld.2154
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We describe some Hermite stream function and velocity finite elements and a divergence-free finite element method for the computation of incompressible flow. Divergence-free velocity bases defined on ( but not limited to) rectangles are presented, which produce pointwise divergence-free flow fields (del.u(h) equivalent to 0). The discrete velocity satisfies a flow equation that does not involve pressure. The pressure can be recovered as a function of the velocity if needed. The method is formulated in primitive variables and applied to the stationary lid-driven cavity and backward-facing step test problems. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:376 / 408
页数:33
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