A Hybrid Numerical Method to Cure Numerical Shock Instability

查看全文 作　　者：Hao [1]Wu;Longjun [1]Shen;Zhijun [1]Shen

机构地区：[1]Institute of Applied Physics and Computational Mathematics,Beijing,P.O.Box 8009,100088,China

出　　处：《Communications in Computational Physics》索引2010年第8卷第10期,共8页

基　　金：supported in part by the National Natural Science Foundation of China under(Grant No.10871029);foundation of LCP. 摘　　要：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. 关键词：Godunov methods numerical shock instability carbuncle phenomenon

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A Hybrid Numerical Method to Cure Numerical Shock Instability

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