On stability of staggered schemes

被引：5

作者：

Bauer, Amy L. ^{[1
]}

Loubere, Raphaeerl ^{[2
,3
]}

Wendroff, Burton ^{[1
]}

机构：

[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Univ Toulouse 3, Inst Math, F-31062 Toulouse, France

[3] Univ Toulouse 3, CNRS, UMR 5219, F-31062 Toulouse, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2008年 / 46卷 / 02期

关键词：

staggered schemes; stability; wave equations; Euler equations;

D O I：

10.1137/060660151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the theoretical stability bound of a Lagrangian staggered scheme used to solve hydrodynamics equations. We present the two-dimensional (2D) wave equation as a possible model for this study and, by using the numerical radius of the amplification matrix, we prove that the family of schemes defined with two time-centering parameters is limited by a non-classical stability bound limit defined with an analytical curve. We further show that 2D numerical experiments agree with this theoretical result.

引用

页码：996 / 1011

页数：16

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