Anisotropic mesh adaptation for the solution of the Stefan problem

被引：49

作者：

Belhamadia, Y ^{[1
]}

Fortin, A ^{[1
]}

Chamberland, É ^{[1
]}

机构：

[1] Univ Laval, GIREF, Dept Math & Stat, Bur 2986, Quebec City, PQ G1K 7P4, Canada

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 194卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Stefan problem; phase change; phase-field formulation; finite element method; hierarchical error estimator; anisotropic mesh adaptation;

D O I：

10.1016/j.jcp.2003.09.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new finite element formulation for the solution of the classical Stefan problem is introduced. it is obtained by a slight modification of the phase-field formulation used for dendritic growth where both the phase-field 0 and the temperature T are discretized. An anisotropic mesh adaptation strategy is also presented to further increase the accuracy of the method. Numerical results for two-dimensional examples illustrating the performance and accuracy of the proposed method are presented. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：233 / 255

页数：23

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