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

被引：8
|
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.
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页码：1077 / 1083
页数：7
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