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Performance of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds

Published online by Cambridge University Press:  20 August 2015

Keiichi Kitamura ,
Eiji Shima ,
Keiichiro Fujimoto  and
Z. J. Wang
Keiichi Kitamura*
Affiliation:
JAXA’s Engineering Digital Innovation (JEDI) Center, Japan Aerospace Exploration Agency, 3-1-1 Yoshinodai, Chuuou, Sagamihara, Kanagawa, 252-5210, Japan
Eiji Shima*
Affiliation:
JAXA’s Engineering Digital Innovation (JEDI) Center, Japan Aerospace Exploration Agency, 3-1-1 Yoshinodai, Chuuou, Sagamihara, Kanagawa, 252-5210, Japan
Keiichiro Fujimoto*
Affiliation:
JAXA’s Engineering Digital Innovation (JEDI) Center, Japan Aerospace Exploration Agency, 3-1-1 Yoshinodai, Chuuou, Sagamihara, Kanagawa, 252-5210, Japan JAXA’s Engineering Digital Innovation (JEDI) Center, Japan Aerospace Exploration Agency, 2-1-1 Sengen, Tsukuba, Ibaraki, 305-8505, Japan
Z. J. Wang*
Affiliation:
Department of Aerospace Engineering, Iowa State University, 2271 Howe Hall, Ames, IA 50011, USA
*
Corresponding author.Email:kitamura.keiichi@jaxa.jp
Email:shima.eiji@jaxa.jp
Email:fujimoto.keiichiro@jaxa.jp
Email:zjw@iastate.edu
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Abstract

In low speed flow computations, compressible finite-volume solvers are known to a) fail to converge in acceptable time and b) reach unphysical solutions. These problems are known to be cured by A) preconditioning on the time-derivative term, and B) control of numerical dissipation, respectively. There have been several methods of A) and B) proposed separately. However, it is unclear which combination is the most accurate, robust, and efficient for low speed flows. We carried out a comparative study of several well-known or recently-developed low-dissipation Euler fluxes coupled with a preconditioned LU-SGS (Lower-Upper Symmetric Gauss-Seidel) implicit time integration scheme to compute steady flows. Through a series of numerical experiments, accurate, efficient, and robust methods are suggested for low speed flow computations.

Keywords

65Z0576M1276N99All-speed schemelow-dissipationpreconditioningLU-SGS
Type
Research Article
Information
Communications in Computational Physics , Volume 10 , Issue 1 , July 2011 , pp. 90 - 119
Copyright
Copyright © Global Science Press Limited 2011

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