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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:438

Article

Xue, Tianju¹  Sun, WaiChing²  Adriaenssens, Sigrid¹  Wei, Yujie³  Liu, Chuanqi³ 

[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

关键词: Level set;    Reinitialization;    Shift boundary method;   

DOI  :  10.1016/j.jcp.2021.110360

来源: Elsevier

【 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.

【 授权许可】

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