A two-grid algorithm based on Newton iteration for the stream function form of the Navier-Stokes equations

被引：0
作者：
Xin-ping Shao
Dan-fu Han
机构：
[1] Zhejiang University,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2011年 / 26卷
关键词：
Two-grid algorithm; Navier-Stokes equations; Stream function form; Reynolds number; Newton iteration; 65N30; 65N12; 65H99; 65G99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a two-grid algorithm for solving the stream function formulation of the stationary Navier-Stokes equations. The algorithm is constructed by reducing the original system to one small, nonlinear system on the coarse mesh space and two similar linear systems (with same stiffness matrix but different right-hand side) on the fine mesh space. The convergence analysis and error estimation of the algorithm are given for the case of conforming elements. Furthermore, the algorithm produces a numerical solution with the optimal asymptotic H2-error. Finally, we give a numerical illustration to demonstrate the effectiveness of the two-grid algorithm for solving the Navier-Stokes equations.
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页码：368 / 378
页数：10
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