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	Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations
	Chen, Yaping ; Kuang, Yangyu ; Tang, Huazhong
	2017
关键词	Gas-kinetic scheme Anderson-Witting model Ultra-relativistic Euler equations Ultra-relativistic Navier-Stokes equations DISCONTINUOUS GALERKIN METHODS NAVIER-STOKES EQUATIONS COMPRESSIBLE EULER EQUATIONS PIECEWISE PARABOLIC METHOD FLUX-SPLITTING METHOD GAS-KINETIC SCHEME RIEMANN SOLVER IDEAL MAGNETOHYDRODYNAMICS BOLTZMANN-EQUATION RELAXATION-TIME
英文摘要	This paper presents second-order accurate genuine BGK schemes in the framework of finite volume method for the ultra-relativistic flows. Different from the existing kinetic flux-vector splitting (KFVS) or BGK-type schemes for the ultra-relativistic Euler equations, the present schemes are derived from the analytical solution of the Anderson-Witting model, which is given for the first time and includes the "genuine" particle collisions in the gas transport process. The proposed schemes for the ultra-relativistic viscous flows are also developed and two examples of ultra-relativistic viscous flow are designed. Several 1D and 2D numerical experiments are conducted to demonstrate that the proposed schemes not only are accurate and stable in simulating ultra-relativistic inviscid and viscous flows, but also have higher resolution at the contact discontinuity than the KFVS or BGK-type schemes. (C) 2017 Elsevier Inc. All rights reserved.; Special Project on High-performance Computing under the National Key RD Program [2016YFB0200603]; Science Challenge Project [JCKY2016212A502]; National Natural Science Foundation of China [91330205, 91630310, 11421101]; SCI(E); ARTICLE; 300-327; 349
语种	英语
出处	SCI
出版者	JOURNAL OF COMPUTATIONAL PHYSICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/470380]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Yaping,Kuang, Yangyu,Tang, Huazhong. Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations. 2017-01-01.

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