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数值相对论简介(Ⅰ)——爱因斯坦方程 被引量:2

AN INTRODUCTION TO NUMERICAL RELATIVITY (Ⅰ):EINSTEIN EQUATIONS FOR RELATIVITY
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摘要 对数值相对论中涉及的一些典型的算法进行了简单的介绍 .在广义相对论中 ,引力场是由一组极其复杂的、相互耦合的、非线性的双曲或椭圆偏微分方程决定的 .由于大规模并行计算机的运行速度和存储容量的飞速发展 ,在爱因斯坦场方程写出 80多年以后终于有可能对在天体物理中十分令人关注的现象如黑洞或中子星的碰撞问题等 ,进行广义相对论性的三维模拟 ,进而诞生了数值相对论 . In general relativity, gravity is governed by an extremely complex set of coupled, nonlinear, hyperbolic elliptic partial differential equations. The largest parallel supercomputers are finally approaching the speed and memory required to solve the complete set of Einstein equations numerically for the first time since they were written over 80 years ago, allowing one to attempt full 3D simulations of such exciting events as colliding black holes and neutron stars. Some algorithm methods in numerical relativity are discussed.
作者 刘文彪
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第2期193-197,共5页 Journal of Beijing Normal University(Natural Science)
基金 国家自然科学基金资助项目 (10 0 73 0 0 2 ) 国家留学基金资助项目 北京师范大学青年科学基金资助项目
关键词 数值相对论 爱因斯坦方程 广义相对论 引力场 黑洞 中子星 计算方法 numerical relativity black hole neutron star arithmetic method 3+1 spacetime
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