Efficient parallel method for implicit upwind schemes approximating the Euler equations in gas dynamics

被引：5

作者：

Wu, ZN ^{[1
]}

Zou, H ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Engn Mech, Beijing 100084, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2003年 / 187卷 / 02期

关键词：

multipoint one-sided schemes; convergence speed; parallel computing;

D O I：

10.1016/S0021-9991(03)00155-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A grid-overlapping parallel method for some three-point implicit schemes has been proposed by Wu and Zou [J. Comput. Phys. 157 (2000) 2]. In this paper we conduct a theoretical analysis of the convergence speed to steady state for this parallel method when multipoint one-sided upwind schemes are used. The theoretical parallel efficiency is found to be near 100% for the totally time-lagging interface treatment. Numerical experiments for compressible flows are conducted to confirm the linear theory. Moreover, numerical experiments will also be demonstrated for schemes which are not completely upwind. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：683 / 715

页数：33

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