天体物理流体力学Riemann解的数值比较
Numerical comparison of Riemann solvers for astrophysical hydrodynamics
摘要：
这项工作的想法是比较一个新的积极的和熵稳定的近似黎曼解弗朗索瓦Bouchut与国家的最先进的算法天体物理流体动力学。我们将新的黎曼解算器实现为天体物理PPM代码，Prometheus代码，并且还制作了一个版本，该版本具有不同的，比PPM更有理论基础的高阶算法。我们目前的激波管试验，二维不稳定性试验和强迫湍流模拟在三维。我们发现在激波管测试中的代码之间的细微差别，并在湍流模拟的统计。新的黎曼解算器提高了计算速度，而没有显着的精度损失。
英文摘要：
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.
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