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	An adaptive ghost fluid finite volume method for compressible gas-water simulations
	Wang, Chunwu ; Tang, Huazhong ; Liu, Tiegang
	2008
关键词	finite volume method ghost fluid method moving mesh method level-set equation approximate Riemann solver gasliquid Riemann problem MULTICOMPONENT FLOW CALCULATIONS PARTIAL-DIFFERENTIAL EQUATIONS MOVING MESH METHODS FRONT TRACKING ELEMENT-METHOD HARMONIC MAPS COMPUTATIONS DIMENSIONS ALGORITHMS INTERFACES
英文摘要	An adaptive ghost fluid finite volume method is developed for one- and two-dimensional compressible multi-medium flows in this work. It couples the real ghost fluid method (GFM) [C.W. Wang, T.G. Liu, B.C. Khoo, A real-ghost fluid method for the simulation of multi-medium compressible flow, SIAM J. Sci. Comput. 28 (2006) 278-302] and the adaptive moving mesh method [H.Z. Tang, T. Tang. Moving mesh methods for one- and two-dimensional hyperbolic conservation laws, SIAM J. Numer. Anal. 41 (2003) 487-515; H.Z. Tang, T. Tang, P.W. Zhang, An adaptive mesh redistribution method for non-linear Hamilton-Jacobi equations in two- and three-dimensions, J. Comput. Phys. 188 (2003) 543572], and thus combines their advantages. This work shows that the local mesh clustering in the vicinity of the material interface can effectively reduce both numerical and conservative errors caused by the GFM around the material interface and other discontinuities. Besides the improvement of flow field resolution, the adaptive GFM also largely increases the computational efficiency. Several numerical experiments are conducted to demonstrate robustness and efficiency of the current method. They include several ID and 2D gas-water flow problems, involving a large density gradient at the material interface and strong shock-interface interactions. The results show that our algorithm can capture the shock waves and the material interface accurately, and is stable and robust even for solutions with large density and pressure gradients. (c) 2008 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 16; ARTICLE; 12; 6385-6408; 227
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/20.500.11897/248961]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Chunwu,Tang, Huazhong,Liu, Tiegang. An adaptive ghost fluid finite volume method for compressible gas-water simulations. 2008-01-01.

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