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A Simple Implementation of the Semi-Lagrangian Level-Set Method
Shi, Weidong1,2; Xu, Jian-Jun2; Shu, Shi1
2017-02-01
摘要Semi-Lagrangian (S-L) methods have no CFL stability constraint, and are more stable than the Eulerian methods. In the literature, the S-L method for the level-set re-initialization equation was complicated, which may be unnecessary. Since the re-initialization procedure is auxiliary, we propose to use the first-order S-L scheme coupled with a projection technique to improve the accuracy at the grid points just adjacent to the interface. Standard second-order S-L method is used for evolving the level-set convection equation. The implementation is simple, including on the block-structured adaptive mesh. The efficiency of the S-L method is demonstrated by extensive numerical examples including passive convection of interfaces with corners/kinks/large deformation under given velocity fields, a geometrical flow with topological changes, simulations of bubble/droplet dynamics in incompressible two-phase flows. In terms of accuracy it is comparable to the other existing methods.
关键词Semi-Lagrangian method level-set method interface motion two-phase flow bubble/droplet dynamics block-structured adaptive mesh
DOI10.4208/aamm.2015.m1305
发表期刊ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
ISSN2070-0733
卷号9期号:1页码:104-124
通讯作者Xu, JJ (reprint author), Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing 400714, Peoples R China.
收录类别SCI
WOS记录号WOS:000386053300006
语种英语