标题： 数值黑洞：一种移动网格方法 显示英文标题

标题： Numerical Black Holes: A Moving Grid Approach

摘要： 球对称（1D）黑洞时空被用作数值相对论的测试。 一种基于爱因斯坦方程双曲结构的有限差分代码，使用了调和切片条件。 显示出在黑洞视界后面的陡峭梯度区域中质量函数出现显著误差，这挑战了代码中使用的计算流体力学数值方法。 该形式被扩展到移动的数值网格，这些网格被调整以跟随视界运动。 然后可以更准确地对黑洞外部区域进行建模。 显示英文摘要

摘要： Spherically symmetric (1D) black-hole spacetimes are considered as a test for numerical relativity. A finite difference code, based in the hyperbolic structure of Einstein's equations with the harmonic slicing condition is presented. Significant errors in the mass function are shown to arise from the steep gradient zone behind the black hole horizon, which challenge the Computational Fluid Dynamics numerical methods used in the code. The formalism is extended to moving numerical grids, which are adapted to follow horizon motion. The black hole exterior region can then be modeled with higher accuracy.