A Simple Implementation of the Semi-Lagrangian Level-Set Method

doi:10.4208/aamm.2015.m1305

CORC > 重庆绿色智能技术研究院 > 中国科学院重庆绿色智能技术研究院 > 大数据挖掘及应用中心

	A Simple Implementation of the Semi-Lagrangian Level-Set Method
	Shi, Weidong 1,2; Xu, Jian-Jun2 ; Shu, Shi 1
刊名	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
	2017-02-01
卷号	9 期号:1 页码:104-124
关键词	Semi-Lagrangian method level-set method interface motion two-phase flow bubble/droplet dynamics block-structured adaptive mesh
ISSN号	2070-0733
DOI	10.4208/aamm.2015.m1305
通讯作者	Xu, JJ (reprint author), Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing 400714, Peoples R China.
英文摘要	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.
资助项目	National natural science fund of China[91430213] ; National natural science fund of China[11571293] ; Hunan Provincial Innovation Foundation for Postgraduate[CX2015B208]
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000386053300006
内容类型	期刊论文
源URL	[http://172.16.51.4:88/handle/2HOD01W0/264]
专题	大数据挖掘及应用中心
通讯作者	Xu, Jian-Jun
作者单位	1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China 2.Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing 400714, Peoples R China
推荐引用方式 GB/T 7714	Shi, Weidong,Xu, Jian-Jun,Shu, Shi. A Simple Implementation of the Semi-Lagrangian Level-Set Method[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2017,9(1):104-124.
APA	Shi, Weidong,Xu, Jian-Jun,&Shu, Shi.(2017).A Simple Implementation of the Semi-Lagrangian Level-Set Method.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,9(1),104-124.
MLA	Shi, Weidong,et al."A Simple Implementation of the Semi-Lagrangian Level-Set Method".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 9.1(2017):104-124.