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 A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows Di, Yana3; Li, Ruo1,2; Tang, Tao4,5 2008-03-01 Source Publication COMMUNICATIONS IN COMPUTATIONAL PHYSICS ISSN 1815-2406 Volume 3Issue:3Pages:582-602 Abstract In this paper, we present an adaptive moving mesh algorithm for meshes of unstructured polyhedra in three space dimensions. The algorithm automatically adjusts the size of the elements with time and position in the physical domain to resolve the relevant scales in multiscale physical systems while minimizing computational costs. The algorithm is a generalization of the moving mesh methods based on harmonic mappings developed by Li et al. [J. Comput. Phys., 170 (2001), pp. 562588, and 177 (2002), pp. 365-393]. To make 3D moving mesh simulations possible, the key is to develop an efficient mesh redistribution procedure so that this part will cost as little as possible comparing with the solution evolution part. Since the mesh redistribution procedure normally requires to solve large size matrix equations, we will describe a procedure to decouple the matrix equation to a much simpler block-tridiagonal type which can be efficiently solved by a particularly designed multi-grid method. To demonstrate the performance of the proposed 3D moving mesh strategy, the algorithm is implemented in finite element simulations of fluid-fluid interface interactions in multiphase flows. To demonstrate the main ideas, we consider the formation of drops by using an energetic variational phase field model which describes the motion of mixtures of two incompressible fluids. Numerical results on two- and three-dimensional simulations will be presented. Keyword moving mesh methods multi-phase flows unstructured tetrahedra phase field model Navier-Stokes equations finite element method Language 英语 WOS Research Area Physics WOS Subject Physics, Mathematical WOS ID WOS:000254484200002 Publisher GLOBAL SCIENCE PRESS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/5432 Collection 计算数学与科学工程计算研究所 Corresponding Author Li, Ruo Affiliation 1.Peking Univ, LMAM, Beijing 100871, Peoples R China2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China4.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China5.Beijing Univ Aeronaut & Astronaut, Fac Sci, Beijing 100083, Peoples R China Recommended CitationGB/T 7714 Di, Yana,Li, Ruo,Tang, Tao. A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2008,3(3):582-602. APA Di, Yana,Li, Ruo,&Tang, Tao.(2008).A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,3(3),582-602. MLA Di, Yana,et al."A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 3.3(2008):582-602.
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