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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 PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume3Issue:3Pages:582-602
AbstractIn 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.
Keywordmoving mesh methods multi-phase flows unstructured tetrahedra phase field model Navier-Stokes equations finite element method
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000254484200002
PublisherGLOBAL SCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/5432
Collection计算数学与科学工程计算研究所
Corresponding AuthorLi, Ruo
Affiliation1.Peking Univ, LMAM, Beijing 100871, Peoples R China
2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
4.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
5.Beijing Univ Aeronaut & Astronaut, Fac Sci, Beijing 100083, Peoples R China
Recommended Citation
GB/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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