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	A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations
	Ren, Yu-Xin ; Sun, Yutao
	2010-05-07 ; 2010-05-07
关键词	multi-dimensional upwind scheme finite volume scheme Euler equations Navier-Stokes equations reconstruction HYPERBOLIC CONSERVATION-LAWS CARBUNCLE PHENOMENON RIEMANN SOLVER GAS-DYNAMICS SYSTEMS Computer Science, Interdisciplinary Applications Physics, Mathematical
中文摘要	This paper presents a multi-dimensional upwind finite volume scheme for solving the gasdynamic Puler and Navier-Stokes equations. In evaluating the inviscid numerical fluxes, the full governing equations are solved on every cell interface to account for the multi-dimensional effects, To make the scheme efficient, the governing equations are solved on every cell interface using an operator splitting method: in the first step, the contribution of inviscid terms is modeled by solving the linearized Euler equations in characteristic form; in the second step, the contribution of viscous terms are included by a simple correction procedure. The resulted scheme is efficient and easy to be applied on general control volumes. Several numerical test cases are presented to verify the proposed scheme. (c) 2006 Elsevier Inc. All rights reserved.
语种	英语 ; 英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/16033]
专题	清华大学
推荐引用方式 GB/T 7714	Ren, Yu-Xin,Sun, Yutao. A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations[J],2010, 2010.
APA	Ren, Yu-Xin,&Sun, Yutao.(2010).A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations..
MLA	Ren, Yu-Xin,et al."A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations".(2010).

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