Volume 10, Issue 1
Performance of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds

Keiichi Kitamura, Eiji Shima, Keiichiro Fujimoto & Z. J. Wang

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

Published online: 2011-10

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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.

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@Article{CiCP-10-90, author = {}, title = {Performance of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds}, journal = {Communications in Computational Physics}, year = {2011}, volume = {10}, number = {1}, pages = {90--119}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.041109.160910a}, url = {http://global-sci.org/intro/article_detail/cicp/7436.html} }
TY - JOUR T1 - Performance of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds JO - Communications in Computational Physics VL - 1 SP - 90 EP - 119 PY - 2011 DA - 2011/10 SN - 10 DO - http://doi.org/10.4208/cicp.041109.160910a UR - https://global-sci.org/intro/article_detail/cicp/7436.html KW - AB -

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.

Keiichi Kitamura, Eiji Shima, Keiichiro Fujimoto & Z. J. Wang. (2020). Performance of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds. Communications in Computational Physics. 10 (1). 90-119. doi:10.4208/cicp.041109.160910a
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