Computer Aided Analysis of Preconditioned Multistage Runge-Kutta Methods Applied to Solve the Compressible Reynolds Averaged Navier-Stokes Equations

被引：0
|
作者：
Langer, Stefan [1 ]
机构：
[1] German Aerosp Ctr DLR, Inst Aerodynam & Flow Technol, Lilienthalpl 7, D-38108 Braunschweig, Germany
来源：
NEW RESULTS IN NUMERICAL AND EXPERIMENTAL FLUID MECHANICS X | 2016年 / 132卷
关键词：
MULTIGRID METHODS;
D O I：
10.1007/978-3-319-27279-5_46
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The development of solution methods to approximate steady state solutions of the turbulent compressible Reynolds-averaged Navier-Stokes (RANS) equations is often based on several heuristics. In general a deep understanding of the power as well as the deficiencies of the methods is missing. It is the goal of this article to present an analysis tool which is applied to many well known solution techniques. The tool is based on Arnoldi's method to investigate approximations to the spectrum of the linearized equations. Numerical examples will demonstrate the good correlation between the approximate spectrum and the convergence behavior for the nonlinear equations.
引用
收藏
页码：525 / 536
页数：12
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