A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations
A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations
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DOI：
10.1016/j.cma.2011.11.003
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发表时间：
2012-02
影响因子：
7.2
通讯作者：
Yueqiang Shang;Yinnian He
中科院分区：
文献类型：
--
作者：
Yueqiang Shang;Yinnian He
基于双网格离散和区域分解，提出了求解中、大粘性定常Navier-Stokes方程的并行Oseen线性化有限元算法，并对算法进行了分析.该算法的核心思想是先在粗网格上用Picard迭代法求解一个非线性问题，然后在细网格上并行求解一个Oseen问题，对粗网格解进行修正。利用有限元解的局部先验误差估计，在唯一性条件下，分析了相应有限元解的误差界。数值结果也证明了该算法的高效性。
Based on two-grid discretizations and domain decomposition, a parallel Oseen-linearized finite element algorithm for the stationary Navier–Stokes equations with moderate or large viscosity parameter is proposed and analyzed. The key idea of the algorithm is to first solve a nonlinear problem by Picard iterative method on a coarse grid, and then to solve an Oseen problem in parallel on a fine grid to correct the coarse grid solution. By using local a priori error estimate for the finite element solution and under the uniqueness condition, error bounds of the corresponding finite element solution are analyzed. Numerical results are also given to demonstrate the high efficiency of the algorithm.