An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods  

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作  者:Zhilin Li Peng Song 

机构地区:[1]Center for Research in Scientific Computation&Department of Mathematics,North Carolina State University,Raleigh,NC 27695,USA [2]Nanjing Normal University,China [3]Operations Research Program,North Carolina StateUniversity,Raleigh,NC 27695,USA

出  处:《Communications in Computational Physics》2012年第7期515-527,共13页计算物理通讯(英文)

摘  要:An adaptive mesh refinement strategy is proposed in this paper for the Immersed Boundary and Immersed Interface methods for two-dimensional elliptic interface problems involving singular sources.The interface is represented by the zero level set of a Lipschitz functionϕ(x,y).Our adaptive mesh refinement is done within a small tube of|ϕ(x,y)|δwith finer Cartesian meshes.The discrete linear system of equations is solved by a multigrid solver.The AMR methods could obtain solutions with accuracy that is similar to those on a uniform fine grid by distributing the mesh more economically,therefore,reduce the size of the linear system of the equations.Numerical examples presented show the efficiency of the grid refinement strategy.

关 键 词:Adaptive mesh refinement immersed boundary method immersed interface method elliptic interface problem Cartesian grid method level set representation singular sources 

分 类 号:O17[理学—数学]

 

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