A new finite element level set reinitialization method based on the shifted boundary method

doi:10.1016/j.jcp.2021.110360

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	A new finite element level set reinitialization method based on the shifted boundary method
	Xue, Tianju ; Sun, WaiChing 1; Adriaenssens, Sigrid ; Wei YJ(魏宇杰); Liu CQ(刘传奇)
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
	2021-08
卷号	438 页码:110360
ISSN	0021-9991
摘要	We propose an efficient method to reinitialize a level set function to a signed distance function by solving an elliptic problem using the finite element method. The original zero level set interface is preserved by means of applying modified boundary conditions to a surrogate/approximate interface weakly with a penalty method. Narrow band technique is adopted to reinforce the robustness of the proposed method where a smooth initial guess for the nonlinear equation is given by solving a Laplace's equation. Numerical benchmarks in both two dimensions and three dimensions confirm the optimal convergence rates under several different error measures including an interface error measure, showing that our method is accurate and robust. A three-dimensional genus 2 surface is adopted to demonstrate the capability of the method for the reinitialization of complicated geometries. (C) 2021 Elsevier Inc. All rights reserved.
关键词	Level set Reinitialization Shift boundary method
学科领域	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
DOI	10.1016/j.jcp.2021.110360
收录类别	SCI
语种	英语
WOS记录号	WOS:000663409500015
项目资助者	National Key Research and Development Program of China [2017YFB0202800] ; One Hundred Talents Program (Pioneering Project) of Chinese Academy of Sciences (CAS) ; Princeton Catalysis Initiative (Princeton University) ; National Science Foundation, United States of America grant from the Mechanics of Materials and Structures program [CMMI-1846875] ; Office of Advanced Cyberinfrastructure [OAC-1940203]
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Liu, CQ (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100090, Peoples R China.
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/90254
专题	非线性力学国家重点实验室
作者单位	1.Princeton Univ, Dept Civil & Environm Engn, Princeton, NJ 08544 USA 2.Columbia Univ, Dept Civil Engn & Engn Mech, New York, NY 10027 USA 3.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100090, Peoples R China
推荐引用方式 GB/T 7714	Xue, Tianju,Sun, WaiChing,Adriaenssens, Sigrid,et al. A new finite element level set reinitialization method based on the shifted boundary method[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2021,438:110360.
APA	Xue, Tianju,Sun, WaiChing,Adriaenssens, Sigrid,魏宇杰,&刘传奇.(2021).A new finite element level set reinitialization method based on the shifted boundary method.JOURNAL OF COMPUTATIONAL PHYSICS,438,110360.
MLA	Xue, Tianju,et al."A new finite element level set reinitialization method based on the shifted boundary method".JOURNAL OF COMPUTATIONAL PHYSICS 438(2021):110360.

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