Modified Galerkin Method for unsteady two-dimensional viscous fluid flow analysis

被引：3

作者：

Matsuda, Y ^{[1
]}

Shao, C ^{[1
]}

机构：

[1] Shinshu Univ, Fac Engn, Dept Mech Syst Engn, Nagano 380, Japan

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS | 1998年 / 9卷 / 3-4期

关键词：

two-dimensional flow stream function-vorticity formulation; finite element method; Modified Galerkin Method; cavity flow; incompressible flow error analysis technique;

D O I：

10.1080/10618569808940860

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The Modified Galerkin Method (MGM) has been proposed as one of the most efficient methods for two-dimensional convection-diffusion equations. In the MGM, the non-symmetric matrices, which are derived from the convection term in the Galerkin formulation, are not used, and an artificial diffusion is introduced through an error analysis approach to improve its discretization accuracy in both time and space directions. In this study, the MGM is applied for two-dimensional viscous fluid flow analysis, and the driven cavity flow problems are solved up to Reynolds number of 10,000 using the vorticity-stream function formulation and non-uniform meshes. The results show the effectiveness of MGM.

引用

页码：293 / 301

页数：9

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