球极坐标无轴重叠网格模拟三维自引力流
An axis-free overset grid in spherical polar coordinates for simulating 3D self-gravitating flows
摘要：
一种类型的重叠网格在球坐标称为阴阳网格成功地实现到一个三维版本的显式欧拉网格为基础的代码PROMETHEUS包括自引力。修改后的代码成功地通过了几个标准的水动力试验产生的结果是非常好的协议与解析解。此外，阴阳网格得到的解决方案没有表现出特殊的行为在两个网格补丁之间的边界。该代码也已成功地用于模拟天体物理学相关的情况，即平衡多面体，泰勒-谢多夫爆炸，瑞利-泰勒不稳定性。根据我们的结果，阴阳网格的使用大大提高了三维显式欧拉程序的适用性和效率的天体物理流动的球极坐标为基础。
英文摘要：
A type of overlapping grid in spherical coordinates called the Yin-Yang grid is successfully implemented into a 3D version of the explicit Eulerian grid-based code PROMETHEUS including self-gravity. The modified code successfully passed several standard hydrodynamic tests producing results which are in very good agreement with analytic solutions. Moreover, the solutions obtained with the Yin-Yang grid exhibit no peculiar behaviour at the boundary between the two grid patches. The code has also been successfully used to model astrophysically relevant situations, namely equilibrium polytropes, a Taylor-Sedov explosion, and Rayleigh-Taylor instabilities. According to our results, the usage of the Yin-Yang grid greatly enhances the suitability and efficiency of 3D explicit Eulerian codes based on spherical polar coordinates for astrophysical flows.
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