A modified streamline diffusion method for solving the stationary Navier-Stokes equation
A modified streamline diffusion method for solving the stationary Navier-Stokes equation
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DOI：
10.1007/bf01385768
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发表时间：
1991-12
影响因子：
2.1
通讯作者：
L. Tobiska;G. Lube
中科院分区：
文献类型：
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作者：
L. Tobiska;G. Lube
最近，Hughes等人[11,12]提出了求解Stokes问题的新的Petrov-Galerkin型有限元格式，该格式不需要Ladyshenskaya-Babuška-Brezzi-condition （lbb -条件）的离散版本。本文推导了求解平稳Navier-Stokes方程的一种符合的有限元方法，它结合了任意速度/压力有限元空间的优点和流线扩散法在中高雷诺数情况下的优点。
Recently, Hughes et al. [11, 12] proposed new finite element schemes of Petrov-Galerkin type for solving the Stokes problem which do not require the discrete version of the Ladyshenskaya-Babuška-Brezzi-condition (LBB-condition). In this paper we derive a conforming finite element method for solving the stationary Navier-Stokes equations which combines the advantages of arbitrary finite element spaces for velocity/pressure with the favourable properties of the streamline diffusion method in the case of moderate and high Reynolds number.