Open AccessOn the accuracy and robustness of a new flux splitting method
Author(s) -
Xie Wen-Jia,
Hua Li,
Sha Pan,
Zhengyu Tian
Publication year - 2015
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.64.024702
Subject(s) - robustness (evolution) , perturbation (astronomy) , numerical analysis , discontinuity (linguistics) , shock wave , euler equations , mechanics , mathematics , classification of discontinuities , shock (circulatory) , computer science , physics , mathematical analysis , medicine , biochemistry , chemistry , quantum mechanics , gene
The high speed flow problems usually involve complex flow phenomena, such as strong shock waves, shock-shock interactions, and shear layers. Prediction of these problems requires robust, efficient and accurate numerical methods. A robust flux splitting method capable of capturing crisp shock profile and exact contact surface is presented. Here, the flux vector of the Euler equation is split into convective and pressure parts according to the Toro's formulation. The accuracy of the numerical method at the contact discontinuity is examined first. Sufficient conditions of shock stability for this new method are obtained through a linear perturbation analysis. Several carefully chosen test problems are numerically investigated, and the numerical results demonstrate the accuracy and robustness of the proposed scheme.