General relativistic hydrodynamics on overlapping curvilinear grids
General relativistic hydrodynamics on overlapping curvilinear grids
复制标题
重叠曲线网格上的广义相对论流体动力学
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
W. Henshaw
中科院分区：
文献类型：
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作者：
P. Blakely;N. Nikiforakis;W. Henshaw
目标。在广义相对论流体力学(GRHD)的背景下，我们研究了一些高分辨率激波捕捉格式在曲线网格上的应用。我们的目标是证明它们可以被用来精确地演化成黑洞的流体流动。方法：研究方法。我们描述了一种将高分辨率激波捕捉格式和曲线重叠网格方法应用于GRHD方程演化的数值格式。结果。我们将我们的方案应用于黑洞上的Bondi-Hoyle-Lyttleton吸积问题。我们根据问题的精确解和以前的数值结果验证了我们的方法。我们的方法允许入射的风与克尔黑洞的自旋轴成任何角度，也允许流动密度在上游受到扰动。我们给出了这些扰动对所得流场的影响的说明。
Aims. Weinvestigate the use ofsome high-resolution shock-capturing schemes on curvilinear grids inthe context ofgeneral relativistic hydrodynamics (GRHD). We aim to demonstrate that these can be used to evolve accurately fluid flow onto a black hole. Methods. We describe a numerical scheme which applies high-resolution shock-capturing schemes and the curvilinear overlapping grids methodology to the evolution of the equations of GRHD. Results. We apply our scheme to the problem of Bondi-Hoyle-Lyttleton accretion onto a black hole. We validate our approach against an exact solution of the problem and against previous numerical results. Our approach allows for the incident wind to be at any angle to the spin-axis of the Kerr black hole, and also allows the flow density to be perturbed upstream. We give an illustration of the effects of these perturbations on the resulting flow-field.