Galerkin方法的一种简单后处理过程

基金项目: 国家自然科学基金(10671067);攀登项目

A Simple Postprocess Procedure for Galerkin Method

摘要: 基于近似惯性流形思想,以流函数形式定常Navier-Stokes方程为例,给出了一种简单的后处理Galerkin方法.其主要思想是利用近似惯性流形概念和对真解的一种新的分解,构造高低频分量间的近似作用规律.文中证明了这种简单的后处理Galerkin方法可以较小的代价获得较经典Galerkin方法高得多的精度.
- Navier-Stokes方程 /
- 近似惯性流形 /
- 非奇异解
Abstract: A kind simple postprocess procedure for classical Galerkin method for steady Navier-Stokes equations with stream function form was presented in this paper.The main ideal was to construct an approximate interactive rule between lower frequency components and higher frequency components by using the conception of Approximate Inertial Manifold(AIM) and a kind of new decomposition of the true solution.It is demonstrated in this paper that this kind of postprocess Galerkin method could derive a higher accuracy solution with lower computing efforts.
- Navier-Stokes equations /
- approximate inertial manifold /
- non-singular solution

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