A review of level-set methods and some recent applications

被引：298

作者：

Gibou, Frederic ^{[1
,2
]}

Fedkiw, Ronald ^{[3
]}

Osher, Stanley ^{[4
]}

机构：

[1] Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA

[2] Univ Calif Santa Barbara, Dept Comp Sci, Santa Barbara, CA 93106 USA

[3] Stanford Univ, Dept Comp Sci, Stanford, CA 94305 USA

[4] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2018年 / 353卷

基金：

美国国家科学基金会;

关键词：

Level-set method; Ghost-fluid method; Voronoi interface method; Jump condition; Robin boundary condition; Dirichlet boundary condition; Octrees; Adaptive mesh refinement; Parallel computing; FRONT-TRACKING METHOD; ADAPTIVE MESH REFINEMENT; NAVIER-STOKES EQUATIONS; CONDITION CAPTURING METHOD; FINITE-DIFFERENCE SCHEME; FAST SWEEPING METHOD; GHOST FLUID METHOD; IRREGULAR DOMAINS; EFFICIENT IMPLEMENTATION; MODELING ELECTROPORATION;

D O I：

10.1016/j.jcp.2017.10.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We review some of the recent advances in level-set methods and their applications. In particular, we discuss how to imposeboundary conditions at irregular domains and free boundaries, as well as the extension of level-set methods to adaptive Cartesian grids and parallel architectures. Illustrative applications are taken from the physical and life sciences. Fast sweeping methods are briefly discussed. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：82 / 109

页数：28

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