A moving mesh method for the solution of the one-dimensional phase-field equations

被引：46

作者：

Mackenzie, JA ^{[1
]}

Robertson, ML ^{[1
]}

机构：

[1] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2002年 / 181卷 / 02期

关键词：

phase change; phase field; equidistribution; moving meshes; adaptive method;

D O I：

10.1006/jcph.2002.7140

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A moving mesh method is developed for the numerical solution of one-dimensional phase-change problems modelled by the phase-field equations. The computational mesh is obtained by equidistribution of a monitor function tailored for the functional variation of the phase field in the interfacial region. Existence and uniqueness, of the discretised equations using a moving mesh are also established. Numerical results are given for classical and modified Stefan test problems. The numerical algorithm is relatively simple and is shown to be far more efficient than fixed grid methods. (C) 2002 Elsevier Science (USA).

引用

页码：526 / 544

页数：19

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