Instability in a class of explicit two-time-level semi-Lagrangian schemes

被引：11

作者：

Durran, DR ^{[1
]}

Reinecke, PA ^{[1
]}

机构：

[1] Univ Washington, Dept Atmospher Sci, Seattle, WA 98195 USA

来源：

QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY | 2004年 / 130卷 / 596期

关键词：

numerical weather prediction; stability;

D O I：

10.1256/qj.03.14

中图分类号：

P4 [大气科学（气象学）];

学科分类号：

0706 ; 070601 ;

摘要：

Recently Gospodinov and collaborators derived a family of second-order two-time-level semi-Lagrangian schemes that contain an undetermined parameter a. It is shown that, when using one of these schemes to approximate the forcing terms in partial differential equations in a semi-Lagrangian coordinate frame, the choice of alpha has a critical influence on the absolute stability of the method. Optimal stability properties are obtained by choosing alpha = 1/4 which corresponds to the SETTLS scheme proposed by Hortal.

引用

页码：365 / 369

页数：5

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