Conservation laws in curvilinear coordinates: A short proof of Vinokur's Theorem using differential forms

被引：4

作者：

Bridges, Thomas J. ^{[1
]}

机构：

[1] Univ Surrey, Dept Math, Guildford GU2 7XH, Surrey, England

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 202卷 / 02期

关键词：

grid generation; conservation laws; differential forms;

D O I：

10.1016/j.amc.2008.02.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In computational fluid dynamics it is important to maintain strong conservation form in the equations of motion regardless of the coordinate system used. Vinokur's Theorem says that conservation form can always be maintained. However, the proof is long and has non-obvious steps. In this note a short proof of Vinokur's Theorem is given which is both simple and illuminating. It uses the theory of differential forms which may also be useful in other algorithmic constructions. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：882 / 885

页数：4