Solving the Einstein constraints in periodic spaces with a multigrid approach
Solving the Einstein constraints in periodic spaces with a multigrid approach
复制标题
使用多重网格方法求解周期性空间中的爱因斯坦约束
DOI：
10.1088/0264-9381/31/3/035004
复制
发表时间：
2013
影响因子：
3.5
通讯作者：
E. Bentivegna
中科院分区：
文献类型：
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作者：
E. Bentivegna
数值相对论的新应用需要更灵活的算法和工具。在本文中，我开发和测试的多重网格求解器，爱因斯坦工具包提供的基础设施的基础上，椭圆型偏微分方程的周期性边界条件（PBCs）的空间。这种类型的边界通常是宇宙学模型的数值表示的特征，其中空间被假设为由单个基准域的相同副本组成，因此只需要模拟有限体积（在其边缘有PBCs）。经过几次测试和与现有代码的比较，我使用求解器来生成一个无限的，周期性的，立方黑洞晶格的初始数据。
Novel applications of Numerical Relativity demand more flexible algorithms and tools. In this paper, I develop and test a multigrid solver, based on the infrastructure provided by the Einstein Toolkit, for elliptic partial differential equations on spaces with periodic boundary conditions (PBCs). This type of boundary often characterizes the numerical representation of cosmological models, where space is assumed to be made up of identical copies of a single fiducial domain, so that only a finite volume (with PBCs at its edges) needs to be simulated. After a few tests and comparisons with existing codes, I use the solver to generate initial data for an infinite, periodic, cubic black-hole lattice.