Boundary integral methods for multicomponent fluids and multiphase materials

被引:169
作者
Hou, TY [1 ]
Lowengrub, JS
Shelley, MJ
机构
[1] CALTECH, Dept Appl Math, Pasadena, CA 91125 USA
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[3] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
[4] NYU, Courant Inst Math Sci, New York, NY 10012 USA
基金
美国国家科学基金会;
关键词
D O I
10.1006/jcph.2000.6626
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a brief review of the application of boundary integral methods in two dimensions to multicomponent fluid flows and multiphase problems in materials science. We focus on the recent development and outcomes of methods which accurately and efficiently include surface tension. In fluid flows, we examine the effects of surface tension on the Kelvin-Helmholtz and Rayleigh-Taylor instabilities in inviscid fluids, the generation of capillary waves on the free surfacer and problems in Hele-Shaw flows involving pattern formation through the Saffman-Taylor instability, pattern selection, and singularity formation. In materials science, we discuss microstructure evolution in diffusional phase transformations. and the effects of the competition between surface and elastic energies on microstructure morphology. A common link between these different physical phenomena is the utility of an analysis of the appropriate equations of motion at small spatial scales to develop accurate and efficient time-stepping methods. (C) 2001 Academic Press.
引用
收藏
页码:302 / 362
页数:61
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