A new finite element level set reinitialization method based on the shifted boundary method
文献类型：期刊论文
| 作者 | Xue, Tianju; Sun, WaiChing3; Adriaenssens, Sigrid; Wei YJ(魏宇杰) ; Liu CQ(刘传奇)
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| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
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| 出版日期 | 2021-08 |
| 卷号 | 438页码:110360 |
| ISSN号 | 0021-9991 |
| 关键词 | Level set Reinitialization Shift boundary method |
| DOI | 10.1016/j.jcp.2021.110360 |
| 英文摘要 | 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. |
| 学科主题 | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 分类号 | 一类/力学重要期刊 |
| 语种 | 英语 |
| WOS记录号 | WOS:000663409500015 |
| 资助机构 | 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] |
| 其他责任者 | Liu, CQ (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100090, Peoples R China. |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/90254]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100090, Peoples R China 2.Columbia Univ, Dept Civil Engn & Engn Mech, New York, NY 10027 USA 3.Princeton Univ, Dept Civil & Environm Engn, Princeton, NJ 08544 USA |
| 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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来源：力学研究所
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