A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations

被引：35

作者：

Shang, Yueqiang ^{[1
]}

He, Yinnian ^{[2
]}

机构：

[1] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China

[2] Xi An Jiao Tong Univ, Fac Sci, State Key Lab Multiphase Flow Power Engn, Xian 710049, Peoples R China

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2012年 / 209卷

基金：

国家高技术研究发展计划(863计划);

关键词：

Navier-Stokes equations; Finite element; Picard iteration; Two-grid method; Parallel algorithm; FINITE-ELEMENT ALGORITHMS; 2-GRID DISCRETIZATIONS;

D O I：

10.1016/j.cma.2011.11.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：172 / 183

页数：12

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