The Immersed Boundary Method for Two-Dimensional Foam with Topological Changes  

作　　者：Yongsam Kim Yunchang Seol Ming-Chih Lai Charles S.Peskin 

机构地区：[1]Department of Mathematics,Chung-Ang University,Dongjakgu Heukseokdong,Seoul 156-756,Korea [2]Department of Applied Mathematics,Center of Mathematical Modeling and Scientific Computing,National Chiao Tung University,1001,Ta Hsueh Road,Hsinchu 300,Taiwan [3]Courant Institute of Mathematical Sciences,New York University,251 Mercer Street,New York,NY 10012 USA

出　　处：《Communications in Computational Physics》2012年第7期479-493,共15页计算物理通讯（英文）

基　　金：supported by National Research Foundation of Korea Grant funded by the Korean Government(2010-0006165);The second author was supported by the Chung-Ang University Research Scholarship Grant in 2010;The third author is supported in part by National Science Council of Taiwan under research grant NSC-97-2628-M-009-007-MY3,NSC-98-2115-M-009-014-MY3,and the support of NCTS in Taiwan.

摘　　要：We extend the immersed boundary(IB)method to simulate the dynamics of a 2D dry foam by including the topological changes of the bubble network.In the article[Y.Kim,M.-C.Lai,and C.S.Peskin,J.Comput.Phys.229:5194-5207,2010],we implemented an IB method for the foam problem in the two-dimensional case,and tested it by verifying the von Neumann relation which governs the coarsening of a two-dimensional dry foam.However,the method implemented in that article had an important limitation;we did not allow for the resolution of quadruple or higher order junctions into triple junctions.A total shrinkage of a bubble with more than four edges generates a quadruple or higher order junction.In reality,a higher order junction is unstable and resolves itself into triple junctions.We here extend the methodology previously introduced by allowing topological changes,and we illustrate the significance of such topological changes by comparing the behaviors of foams in which topological changes are allowed to those in which they are not.

关 键 词：Foam PERMEABILITY capillary-driven motion immersed boundary method COARSENING topological changes T1 and T2 processes 

分 类 号：O18[理学—数学]