Restoration of the contact surface in the HLL-Riemann solver
Restoration of the contact surface in the HLL-Riemann solver
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DOI：
10.1007/bf01414629
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发表时间：
1994-07
期刊：
影响因子：
2.2
通讯作者：
E. Toro;M. Spruce;W. Speares
中科院分区：
文献类型：
--
作者：
E. Toro;M. Spruce;W. Speares
恢复了Harten、Lax和van Leer的近似黎曼求解器中缺失的接触面。这是按照与原始解算器中相同的原则实现的。我们还提出了获得波速估计的新方法。所得到的解算器与精确黎曼解算器一样精确和健壮，但它比后者更简单，计算效率更高，特别是对于非理想气体。改进的Riemann求解器在二阶WAF方法中实现，并对一维问题和二维问题进行了测试，得到了精确的解和实验结果。
The missing contact surface in the approximate Riemann solver of Harten, Lax, and van Leer is restored. This is achieved following the same principles as in the original solver. We also present new ways of obtaining wave-speed estimates. The resulting solver is as accurate and robust as the exact Riemann solver, but it is simpler and computationally more efficient than the latter, particulaly for non-ideal gases. The improved Riemann solver is implemented in the second-order WAF method and tested for one-dimensional problems with exact solutions and for a two-dimensional problem with experimental results.