Weak imposition of “no-slip” conditions in finite element methods
Weak imposition of “no-slip” conditions in finite element methods
复制标题
有限元方法中“无滑移”条件的弱施加
DOI：
10.1016/s0898-1221(99)00220-5
复制
发表时间：
1999
影响因子：
2.9
通讯作者：
W. Layton
中科院分区：
文献类型：
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作者：
W. Layton
我们开始分析的两个计划，强加弱的“无滑移”边界条件的Navier-Stokes方程。第一种是通过一个拉格朗日乘数约束没有切向速度的边界上，第二是通过惩罚的切向速度沿着边界。我们在第一步中的分析是针对Stokes问题的，尽管放松这一基本边界条件的动机来自于更高的雷诺数流动。
We begin the analysis of two schemes for imposing weakly the “no-slip” boundary conditions in the Navier-Stokes equations. The first is via a Lagrange multiplier constraining no tangential velocity on the boundary and the second is via penalization of tangential velocities along boundaries. Our analysis in this first step is for the Stokes problem although the motivation for relaxing this essential boundary condition comes from higher Reynolds number flow.