A moving mesh finite element algorithm for fluid flow problems with moving boundaries

被引：9

作者：

Baines, MJ

Hubbard, ME ^{[1
]}

Jimack, PK

机构：

[1] Univ Leeds, Sch Comp, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2005年 / 47卷 / 10-11期

关键词：

moving boundaries; moving meshes; finite element method; scale invariance;

D O I：

10.1002/fld.860

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A moving mesh finite element method is proposed for the adaptive solution of second- and fourth-order moving boundary problems which exhibit scale invariance. The equations for the mesh movement are based upon the local application of a scale-invariant conservation principle incorporating a monitor function and have been successfully applied to problems in both one and two space dimensions. Examples are provided to show the performance of the proposed algorithm using a monitor function based upon arc-length. Copyright (c) 2005 John Wiley & Sons, Ltd.

引用

页码：1077 / 1083

页数：7

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