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	A Runge-Kutta discontinuous Galerkin method for the Euler equations
	Tang, HZ ; Warnecke, G
	2005
关键词	FINITE-ELEMENT METHOD SHOCK-CAPTURING SCHEMES CONSERVATION-LAWS EFFICIENT IMPLEMENTATION KINETIC SCHEMES SYSTEMS FLOW
英文摘要	This paper presents a Runge-Kutta discontinuous Galerkin (RKDG) method for the Euler equations of gas dynamics from the viewpoint of kinetic theory. Like the traditional gas-kinetic schemes, our proposed RKDG method does not need to use the characteristic decomposition or the Riemann solver in computing the numerical flux at the surface of the finite elements. The integral term containing the non-linear flux can be computed exactly at the microscopic level. A limiting procedure is carefully designed to suppress numerical oscillations. It is demonstrated by the numerical experiments that the proposed RKDG methods give higher resolution in solving problems with smooth solutions. Moreover, shock and contact discontinuities can be well captured by using the proposed methods. (C) 2004 Elsevier Ltd. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000226446600005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Computer Science, Interdisciplinary Applications; Mechanics; SCI(E); EI; 15; ARTICLE; 3; 375-398; 34
语种	英语
出处	SCI ; EI
出版者	computers fluids
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157968]
专题	数学科学学院
推荐引用方式 GB/T 7714	Tang, HZ,Warnecke, G. A Runge-Kutta discontinuous Galerkin method for the Euler equations. 2005-01-01.

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