High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates

被引：105

作者：

Nordström, J ^{[1
]}

Carpenter, MH

机构：

[1] Swedish Def Res Agcy, Aerodynam Div, Comp Aerodynam Dept, Uppsala, Sweden

[2] Univ Uppsala, Dept Sci Comp Informat Technol, Uppsala, Sweden

[3] NASA, Langley Res Ctr, Computat Modeling & Simulat Branch, Hampton, VA 23681 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2001年 / 173卷 / 01期

关键词：

D O I：

10.1006/jcph.2001.6864

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Boundary and interface conditions are derived for high-order finite difference methods applied to multidimensional linear problems in curvilinear coordinates. Difficulties presented by the combination of multiple dimensions and varying coefficients are analyzed. In particular, problems related to nondiagonal norms, a varying Jacobian, and varying and vanishing wave speeds are considered. The boundary and interface conditions lead to conservative schemes and strict and strong stability provided that certain metric conditions are met. (C) 2001 Academic Press.

引用

页码：149 / 174

页数：26

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