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	PHYSICAL-CONSTRAINT-PRESERVING CENTRAL DISCONTINUOUS GALERKIN METHODS FOR SPECIAL RELATIVISTIC HYDRODYNAMICS WITH A GENERAL EQUATION OF STATE
	Wu, Kailiang ; Tang, Huazhong
	2017
关键词	equation of state hydrodynamics methods: numerical shock waves relativistic processes IDEAL MHD EQUATIONS FINITE-ELEMENT-METHOD HIGH-ORDER SCHEMES HYPERBOLIC CONSERVATION-LAWS PIECEWISE PARABOLIC METHOD FLUID-DYNAMICS WENO LIMITERS JETS SIMULATIONS CODE
英文摘要	The ideal gas equation of state (EOS) with a constant adiabatic index is a poor approximation for most relativistic astrophysical flows, although it is commonly used in relativistic hydrodynamics (RHD). This paper develops high-order accurate, physical-constraints-preserving (PCP), central, discontinuous Galerkin (DG) methods for the one- and two-dimensional special RHD equations with a general EOS. It is built on our theoretical analysis of the admissible states for RHD and the PCP limiting procedure that enforce the admissibility of central DG solutions. The convexity, scaling invariance, orthogonal invariance, and Lax-Friedrichs splitting property of the admissible state set are first proved with the aid of its equivalent form. Then, the high-order central DG methods with the PCP limiting procedure and strong stability-preserving time discretization are proved, to preserve the positivity of the density, pressure, specific internal energy, and the bound of the fluid velocity, maintain high-order accuracy, and be L-1-stable. The accuracy, robustness, and effectiveness of the proposed methods are demonstrated by several 1D and 2D numerical examples involving large Lorentz factor, strong discontinuities, or low density/pressure, etc.; Special Project on High-performance Computing under the National Key RD Program [2016YFB0200603]; Science Challenge Project [JCKY2016212A502]; National Natural Science Foundation of China [91330205, 11421101]; SCI(E); ARTICLE; 1; 228
语种	英语
出处	SCI
出版者	ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/476150]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wu, Kailiang,Tang, Huazhong. PHYSICAL-CONSTRAINT-PRESERVING CENTRAL DISCONTINUOUS GALERKIN METHODS FOR SPECIAL RELATIVISTIC HYDRODYNAMICS WITH A GENERAL EQUATION OF STATE. 2017-01-01.

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