Optimization of time integration schemes coupled to spatial discretization for use in CAA applications

被引：14

作者：

Ramboer, J ^{[1
]}

Broeckhoven, T ^{[1
]}

Smirnov, S ^{[1
]}

Lacor, C ^{[1
]}

机构：

[1] Free Univ Brussels, Dept Fluid Mech, B-1050 Brussels, Belgium

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 213卷 / 02期

关键词：

computational aero acoustics'; time integration; optimization;

D O I：

10.1016/j.jcp.2005.08.033

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper errors arising from spatial and temporal discretization are discussed. A new formulation to optimize time integration schemes is proposed. The new optimization also takes the errors coming from the spatial discretization into account, which leads to a minimization of the total errors. It is applicable to central and upwind type spatial discretizations. A six stage Runge-Kutta scheme is optimized for central and upwind spatial discretizations. Its efficiency is demonstrated oil a one dimensional convection equation and on a Linearized Euler problem. The results indicate ail important improvement. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：777 / 802

页数：26

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