A Carbuncle Free Roe-Type Solver for the Euler Equations
A Carbuncle Free Roe-Type Solver for the Euler Equations
复制标题
欧拉方程的无卡宾罗伊型求解器
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
F. Kemm
中科院分区：
文献类型：
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作者：
F. Kemm
基于 HLLEM 方案的思想，我们提出了一种新颖的 ansatz 来解决众所周知的痈不稳定性。我们没有测试所有相邻单元的强冲击，而是测试接触波和剪切波的黎曼问题。作为指标，我们建议线性波的朗肯-于贡尼奥条件的残差。通过使用已知的方法，我们可以为 Roe 和 HLLEM 方法的接触波和剪切波应用经过良好调节的粘度。由此产生的黎曼求解器精确地近似接触波和剪切波。但根据参数值的选择，可以完全避免红宝石现象。
Based on the idea of the HLLEM scheme, we propose a novel ansatz to cure the well known carbuncle instability. Instead of testing all neighboring cells for strong shocks we test the Riemann problem for contact and shear waves. As an indicator we suggest the residual of the Rankine-Hugoniot condition for the linear waves. By using known approaches, we can apply a well tempered amount of viscosity for the contact and shear waves of the Roe and HLLEM methods. The resulting Riemann solver approximates contact and shear waves exactly. However, according to the chosen value of a parameter, the Carbuncle phenomenon can be completely avoided.