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	An adaptive GRP scheme for compressible fluid flows
	Han, Ee ; Li, Jiequan ; Tang, Huazhong
	2010
关键词	GRP scheme Adaptive moving mesh method Monitor function Conservative interpolation HYPERBOLIC CONSERVATION-LAWS GENERALIZED RIEMANN PROBLEM 2-DIMENSIONAL GAS-DYNAMICS FINITE-ELEMENT-METHOD SINGULAR PROBLEMS HARMONIC MAPS VOLUME METHOD MESH METHODS DUCT FLOWS EQUATIONS
英文摘要	This paper presents a second-order accurate adaptive generalized Riemann problem (GRP) scheme for one and two dimensional compressible fluid flows. The current scheme consists of two independent parts: Mesh redistribution and PDE evolution. The first part is an iterative procedure. In each iteration, mesh points are first redistributed, and then a conservative interpolation formula is used to calculate the cell-averages and the slopes of conservative variables on the resulting new mesh. The second part is to evolve the compressible fluid flows on a fixed nonuniform mesh with the Eulerian GRP scheme, which is directly extended to two-dimensional arbitrary quadrilateral meshes. Several numerical examples show that the current adaptive GRP scheme does not only improve the resolution as well as accuracy of numerical solutions with a few mesh points, but also reduces possible errors or oscillations effectively. (C) 2009 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 12; ARTICLE; 5; 1448-1466; 229
语种	英语
出处	SCI
出版者	计算物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/244404]
专题	数学科学学院
推荐引用方式 GB/T 7714	Han, Ee,Li, Jiequan,Tang, Huazhong. An adaptive GRP scheme for compressible fluid flows. 2010-01-01.

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