Farris 2008 相对论磁流体动力学和辐射的数值模拟

主要内容:
利用广义相对论做3+1的数值模拟，文章给出了数值化的详细的方法。可以作为学习广义相对论数值计算的参考书。

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文章信息:

· arXiv e-print (arXiv:0802.3210)

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Title:		Relativistic Radiation Magnetohydrodynamics in Dynamical Spacetimes: Numerical Methods and Tests
Authors:		Farris, Brian D.; Li, Tsz Ka; Liu, Yuk Tung; Shapiro, Stuart L.
Publication:		eprint arXiv:0802.3210
Publication Date:		02/2008
Origin:		ARXIV
Keywords:		Astrophysics
Comment:		20 pages, 8 figures, submitted to PRD
Bibliographic Code:		2008arXiv0802.3210F

Abstract

Many systems of current interest in relativistic astrophysics require a knowledge of radiative transfer in a magnetized gas flowing in a strongly-curved, dynamical spacetime. Such systems include coalescing compact binaries containing neutron stars or white dwarfs, disks around merging black holes, core collapse supernovae, collapsars, and gamma-ray burst sources. To model these phenomena, all of which involve general relativity, radiation (photon and/or neutrino), and magnetohydrodynamics, we have developed a general relativistic code capable of evolving MHD fluids and radiation in dynamical spacetimes. Our code solves the coupled Einstein-Maxwell-MHD-Radiation system of equations both in axisymmetry and in full 3+1 dimensions. We evolve the metric by integrating the BSSN equations, and use a conservative, high-resolution shock-capturing scheme to evolve both the MHD and radiation moment equations. In this paper, we implement our scheme for optically thick gases and grey-body opacities. Our code gives accurate results in a suite of tests involving radiating shocks and nonlinear waves propagating in Minkowski spacetime. In addition, to test our code's ability to evolve the relativistic radiation-MHD equations in strong-field dynamical spacetimes, we study "thermal Oppenheimer-Snyder collapse" to a black hole, and find good agreement between analytic and numerical solutions.

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