Volume 8, Issue 5
A Hybrid Numerical Method to Cure Numerical Shock Instability

Hao Wu, Longjun Shen & Zhijun Shen

Commun. Comput. Phys., 8 (2010), pp. 1264-1271.

Published online: 2010-08

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  • Abstract

In this note, we propose a new method to cure numerical shock instability by hybriding different numerical fluxes in the two-dimensional Euler equations. The idea of this method is to combine a ”full-wave” Riemann solver and a ”less-wave” Riemann solver, which uses a special modified weight based on the difference in velocity vectors. It is also found that such blending does not need to be implemented in all equations of the Euler system. We point out that the proposed method is easily extended to other ”full-wave” fluxes that suffer from shock instability. Some benchmark problems are presented to validate the proposed method.

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@Article{CiCP-8-1264, author = {Hao Wu, Longjun Shen and Zhijun Shen}, title = {A Hybrid Numerical Method to Cure Numerical Shock Instability}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {5}, pages = {1264--1271}, abstract = {

In this note, we propose a new method to cure numerical shock instability by hybriding different numerical fluxes in the two-dimensional Euler equations. The idea of this method is to combine a ”full-wave” Riemann solver and a ”less-wave” Riemann solver, which uses a special modified weight based on the difference in velocity vectors. It is also found that such blending does not need to be implemented in all equations of the Euler system. We point out that the proposed method is easily extended to other ”full-wave” fluxes that suffer from shock instability. Some benchmark problems are presented to validate the proposed method.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.041009.270410a}, url = {http://global-sci.org/intro/article_detail/cicp/7616.html} }
TY - JOUR T1 - A Hybrid Numerical Method to Cure Numerical Shock Instability AU - Hao Wu, Longjun Shen & Zhijun Shen JO - Communications in Computational Physics VL - 5 SP - 1264 EP - 1271 PY - 2010 DA - 2010/08 SN - 8 DO - http://dor.org/10.4208/cicp.041009.270410a UR - https://global-sci.org/intro/cicp/7616.html KW - AB -

In this note, we propose a new method to cure numerical shock instability by hybriding different numerical fluxes in the two-dimensional Euler equations. The idea of this method is to combine a ”full-wave” Riemann solver and a ”less-wave” Riemann solver, which uses a special modified weight based on the difference in velocity vectors. It is also found that such blending does not need to be implemented in all equations of the Euler system. We point out that the proposed method is easily extended to other ”full-wave” fluxes that suffer from shock instability. Some benchmark problems are presented to validate the proposed method.

Hao Wu, Longjun Shen & Zhijun Shen. (1970). A Hybrid Numerical Method to Cure Numerical Shock Instability. Communications in Computational Physics. 8 (5). 1264-1271. doi:10.4208/cicp.041009.270410a
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