标题： 用于模拟三维自引力流动的球面极坐标无轴重叠网格 显示英文标题

标题： An axis-free overset grid in spherical polar coordinates for simulating 3D self-gravitating flows

摘要： 一种称为阴阳网格的球坐标重叠网格成功地被引入到包含自引力的显式欧拉网格代码PROMETHEUS的三维版本中。 修改后的代码成功通过了多个标准流体力学测试，产生的结果与解析解非常吻合。 此外，使用阴阳网格获得的解在两个网格块之间的边界上没有特殊行为。 该代码还成功用于模拟天体物理相关的状况，即平衡多级星、泰勒-塞多夫爆炸和瑞利-泰勒不稳定性。 根据我们的结果，使用阴阳网格大大提高了基于球面极坐标的一维显式欧拉代码在天体物理流动中的适用性和效率。 显示英文摘要

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.