An extension of the discrete variational method to nonuniform grids

被引：21

作者：

Yaguchi, Takaharu ^{[1
]}

Matsuo, Takayasu ^{[1
]}

Sugihara, Masaaki ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Informat Sci & Technol, Bunkyo Ku, Tokyo 1138656, Japan

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2010年 / 229卷 / 11期

关键词：

Discrete variational method; Conservation; Dissipation; Nonuniform mesh; Mapping method; FINITE-DIFFERENCE SCHEMES; CAHN-HILLIARD EQUATION; DERIVATIVES;

D O I：

10.1016/j.jcp.2010.02.018

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The discrete variational method is a method used to derive finite difference schemes that inherit the conservation/dissipation property of the original equations. Although this method has mainly been developed for uniform grids, we extend this method to multidimensional nonuniform meshes. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4382 / 4423

页数：42

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