论文标题
对流体动力学的无网格方法的一般相对论扩展
A general relativistic extension to mesh-free methods for hydrodynamics
论文作者
论文摘要
引力波的检测为天文学开辟了一个新时代，从而允许将引力波和电磁排放的联合使用直接探测紧凑物体的物理学，但仍然知之甚少。到目前为止，这些来源的理论建模主要依赖于标准数值技术作为基于网格的方法或平滑的粒子流体动力学，最近仅尝试将新技术用作移动网络方案。在这里，我们在代码Gizmo中的无网格流体动力方案中介绍了一般的相对论扩展，该方案受益于Riemann求解器的使用，同时得益于广义的Leap-Frog集成方案，可以完全保守角度动量。我们根据一个或三维的相对论流体动力学的许多标准测试对实施进行了基准测试，还测试了保留Tolman-Oppenheimer-Volkoff紧凑型星的平衡解决方案的能力。在所有提出的测试中，代码的性能非常出色，至少与其他数值技术相当。
The detection of gravitational waves has opened a new era for astronomy, allowing for the combined use of gravitational wave and electromagnetic emissions to directly probe the physics of compact objects, still poorly understood. So far, the theoretical modelling of these sources has mainly relied on standard numerical techniques as grid-based methods or smoothed particle hydrodynamics, with only a few recent attempts at using new techniques as moving-mesh schemes. Here, we introduce a general relativistic extension to the mesh-less hydrodynamic schemes in the code GIZMO, which benefits from the use of Riemann solvers and at the same time perfectly conserves angular momentum thanks to a generalised leap-frog integration scheme. We benchmark our implementation against many standard tests for relativistic hydrodynamics, either in one or three dimensions, and also test the ability to preserve the equilibrium solution of a Tolman-Oppenheimer-Volkoff compact star. In all the presented tests, the code performs extremely well, at a level at least comparable to other numerical techniques.
