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	Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes
	Chen, Guoxian ; Tang, Huazhong ; Zhang, Pingwen
	2008
关键词	adaptive moving mesh method finite volume method Godunov scheme multi-component flows unstructured mesh FINITE-ELEMENT-METHOD ADAPTIVE MESH REDISTRIBUTION METHOD MULTIPLE DIMENSIONS SINGULAR PROBLEMS SPACE DIMENSIONS HARMONIC MAPS EQUATIONS SIMULATION MULTIFLUID
英文摘要	This paper presents a second-order accurate adaptive Godunov method for two-dimensional (2D) compressible multicomponent flows, which is an extension of the previous adaptive moving mesh method of Tang et al. (SIAM J. Numer. Anal. 41:487-515, 2003) to unstructured triangular meshes in place of the structured quadrangular meshes. The current algorithm solves the governing equations of 2D multicomponent flows and the finite-volume approximations of the mesh equations by a fully conservative, second-order accurate Godunov scheme and a relaxed Jacobi-type iteration, respectively. The geometry-based conservative interpolation is employed to remap the solutions from the old mesh to the newly resulting mesh, and a simple slope limiter and a new monitor function are chosen to obtain oscillation-free solutions, and track and resolve both small, local, and large solution gradients automatically. Several numerical experiments are conducted to demonstrate robustness and efficiency of the proposed method. They are a quasi-2D Riemann problem, the double-Mach reflection problem, the forward facing step problem, and two shock wave and bubble interaction problems.; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; 1; 64-86; 34
语种	英语
出处	SCI ; EI
出版者	journal of scientific computing
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157832]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Guoxian,Tang, Huazhong,Zhang, Pingwen. Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes. 2008-01-01.

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