Commun. Comput. Phys., 10 (2011), pp. 90-119.


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

Keiichi Kitamura 1*, Eiji Shima 1, Keiichiro Fujimoto 2, Z. J. Wang 3

1 JAXA's Engineering Digital Innovation (JEDI) Center, Japan Aerospace Exploration Agency, 3-1-1 Yoshinodai, Chuuou, Sagamihara, Kanagawa, 252-5210, Japan.
2 JAXA's Engineering Digital Innovation (JEDI) Center, Japan Aerospace Exploration Agency, 3-1-1 Yoshinodai, Chuuou, Sagamihara, Kanagawa, 252-5210, Japan; and JAXA's Engineering Digital Innovation (JEDI) Center, Japan Aerospace Exploration Agency, 2-1-1 Sengen, Tsukuba, Ibaraki, 305-8505, Japan.
3 Department of Aerospace Engineering, Iowa State University, 2271 Howe Hall, Ames, IA 50011, USA.

Received 4 November 2009; Accepted (in revised version) 16 September 2010
Available online 7 March 2011
doi:10.4208/cicp.041109.160910a

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.

AMS subject classifications: 65Z05, 76M12, 76N99

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Key words: All-speed scheme, low-dissipation, preconditioning, LU-SGS.

*Corresponding author.
Email: kitamura.keiichi@jaxa.jp (K. Kitamura), shima.eiji@jaxa.jp (E. Shima), fujimoto.keiichiro@jaxa.jp (K. Fujimoto), zjw@iastate.edu (Z. J. Wang)
 

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