IMEX Evolution of Scalar Fields on Curved Backgrounds
作者机构:Division of Applied MathematicsBrown UniversityProvidenceRI 02912USA Theoretical Astrophysics and Relativity Group 130-33California Institute of TechnologyPasadenaCA 91125USA Also at the Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueNM 87131USA.
出 版 物:《Communications in Computational Physics》 (计算物理通讯(英文))
年 卷 期:2009年第6卷第10期
页 面:1063-1094页
核心收录:
学科分类:07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学]
基 金:Directorate for Mathematical and Physical Sciences MPS (0601459 0652995)
主 题:Implicit-explicit schemes spectral methods numerical relativity black holes
摘 要:Inspiral of binary black holes occurs over a time-scale of many orbits,far longer than the dynamical time-scale of the individual black *** evolutions of a binary system therefore require excessively many time-steps to capture interesting *** present a strategy to overcome the Courant-Friedrichs-Lewy condition in such evolutions,one relying on modern implicit-explicit ODE solvers and multidomain spectral methods for elliptic *** analysis considers the model problem of a forced scalar field propagating on a generic curved ***,we encounter and address a number of issues pertinent to the binary black hole problem in full general *** to the Schwarzschild geometry in KerrSchild coordinates,we document the results of several numerical experiments testing our strategy.