Numerical comparison of Riemann solvers for astrophysical hydrodynamics
Numerical comparison of Riemann solvers for astrophysical hydrodynamics
复制标题
天体物理流体动力学黎曼求解器的数值比较
DOI：
10.1016/j.jcp.2007.07.034
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
K. Waagan
中科院分区：
文献类型：
--
作者：
C. Klingenberg;W. Schmidt;K. Waagan
这项工作的想法是将Francois Bouchut的一个新的正熵稳定近似黎曼解算器与最先进的天体物理流体动力学算法进行比较。我们将新的黎曼解算器实现到天体物理PPM代码中，即普罗米修斯代码，并且还制作了一个不同的版本，具有比PPM更有理论基础的高阶算法。我们介绍了激波管试验、二维不稳定性试验和三维强迫湍流模拟。我们在激波管试验和湍流模拟的统计数据中发现了代码之间的细微差异。新的黎曼解算器提高了计算速度，但没有显著的精度损失。
The idea of this work is to compare a new positive and entropy stable approximate Riemann solver by Francois Bouchut with a state-of the-art algorithm for astrophysical fluid dynamics. We implemented the new Riemann solver into an astrophysical PPM-code, the Prometheus code, and also made a version with a different, more theoretically grounded higher order algorithm than PPM. We present shock tube tests, two-dimensional instability tests and forced turbulence simulations in three dimensions. We find subtle differences between the codes in the shock tube tests, and in the statistics of the turbulence simulations. The new Riemann solver increases the computational speed without significant loss of accuracy.