IMEX Evolution of Scalar Fields on Curved Backgrounds

作     者：S.R.Lau H.P.Pfeiffer J.S.Hesthaven 

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.