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| A novel high-resolution flux difference splitting scheme |
| Received:August 10, 2020 Revised:December 23, 2020 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20200810001 |
| KeyWord:compressible flow flux difference splitting scheme Zha-Bilgen splitting method boundary variation diminishing algorithm high-resolution robustness |
| Author | Institution |
| 胡立军 |
衡阳师范学院 数学与统计学院, 衡阳 |
| 赵昆磊 |
中国科学院数学与系统科学研究院 计算数学与科学工程计算研究所, 北京 |
| 袁海专 |
湘潭大学 数学与计算科学学院, 湘潭 |
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| Abstract: |
| The conventional Roe scheme does not satisfy the entropy condition and encounters different forms of instability in calculation of shocks,such as the postshock oscillations in slowly moving shocks and the carbuncle phenomenon.Based on the Zha-Bilgen convection-pressure flux splitting method,a novel flux difference splitting scheme is proposed.Using the theory of Jordan form,a flux difference splitting method is constructed by adding generalized eigenvectors to calculate the convection subsystem.The pressure subsystem has a complete set of linearly independent eigenvectors,so it can be calculated by the conventional flux difference splitting scheme.In order to improve the resolution of contact discontinuities,the boundary variation diminishing (BVD) algorithm is implemented to reconstruct the density difference in the dissipation term of convection flux.The analysis of shock stability shows that the new scheme can effectively reduce numerical errors and thus suppress the instability.A series of numerical experiments demonstrate that the proposed flux difference splitting scheme has higher resolution and better robustness than the Roe scheme. |