自由运动网格上的行星-盘相互作用
Planet-disc interaction on a freely moving mesh
摘要：
通用的，移动网格计划的流体力学开辟了可能性相结合的精度网格为基础的数值方法的灵活性和自动分辨率自适应的粒子为基础的方法。由于它们的超音速性质，开普勒吸积盘原则上是一个非常有吸引力的系统，用于应用这种自由移动的网格技术。然而，简单吸积盘模型的高度对称性可能难以准确地捕捉这些方法，由于几何网格噪声和相关的数值扩散，这是缺乏极网格的生成。为了探索这些问题和其他问题，在这项工作中，我们研究的理想化问题的二维行星盘相互作用的移动网格代码AREPO。我们探索通过一系列的数值实验，不同的行星质量，盘的粘度和网格分辨率的盘与行星的流体动力学演化，并比较由此产生的表面密度，涡度场和潮汐扭矩与文献中的结果。我们发现，在这个问题中的移动网格代码的性能是根据公布的结果，表现出良好的一致性与极坐标网格代码。我们还得出结论，网格噪声和网格失真不引入过度的数值扩散。最后，我们展示了如何移动网格的方法可以自然地提高分辨率在高密度的行星和行星尾迹周围的区域，同时保留在低分辨率的背景流。这提供了一个替代的困难任务，实现自适应网格细化在传统的极坐标代码。
英文摘要：
General-purpose, moving-mesh schemes for hydrodynamics have opened the possibility of combining the accuracy of grid-based numerical methods with the flexibility and automatic resolution adaptivity of particle-based methods. Due to their supersonic nature, Keplerian accretion discs are in principle a very attractive system for applying such freely moving mesh techniques. However, the high degree of symmetry of simple accretion disc models can be difficult to capture accurately by these methods, due to the generation of geometric grid noise and associated numerical diffusion, which is absent in polar grids. To explore these and other issues, in this work we study the idealized problem of two-dimensional planet-disc interaction with the moving-mesh code AREPO. We explore the hydrodynamic evolution of discs with planets through a series of numerical experiments that vary the planet mass, the disc viscosity and the mesh resolution, and compare the resulting surface density, vortensity field and tidal torque with results from the literature. We find that the performance of the moving-mesh code in this problem is in accordance with published results, showing good consistency with grid codes written in polar coordinates. We also conclude that grid noise and mesh distortions do not introduce excessive numerical diffusion. Finally, we show how the moving-mesh approach can naturally increase resolution in regions of high densityaround planets and planetary wakes, while retaining the background flow at low resolution. This provides an alternative to the difficult task of implementing adaptive mesh refinement in conventional polar-coordinate codes.
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