Simple finite element method in vorticity formulation for incompressible flows
Simple finite element method in vorticity formulation for incompressible flows
复制标题
不可压缩流涡度公式的简单有限元法
DOI：
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发表时间：
2001
影响因子：
2
通讯作者：
Jian‐Guo Liu
中科院分区：
文献类型：
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作者：
Jian‐Guo Liu
利用涡量公式，给出了二维和三维粘性不可压缩流动的一种非常简单有效的有限元方法。该方法依据作者在另一篇工作中介绍的高精度有限差分法的精神，对传统的有限元方法进行了重铸。使用标准有限元或谱单元可以获得任意阶次的最佳精度。该方法对流稳定，特别适用于中、高雷诺数流动。
A very simple and efficient finite element method is introduced for two and three dimensional viscous incompressible flows using the vorticity formulation. This method relies on recasting the traditional finite element method in the spirit of the high order accurate finite difference methods introduced by the authors in another work. Optimal accuracy of arbitrary order can be achieved using standard finite element or spectral elements. The method is convectively stable and is particularly suited for moderate to high Reynolds number flows.