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Interface‐preserving level‐set reinitialization for DG‐FEM
Author(s) -
Utz Thomas,
Kummer Florian,
Oberlack Martin
Publication year - 2016
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4344
Subject(s) - discontinuous galerkin method , level set method , finite element method , discretization , level set (data structures) , context (archaeology) , signed distance function , mathematics , set (abstract data type) , nonlinear system , algorithm , galerkin method , computer science , mathematical optimization , mathematical analysis , structural engineering , engineering , physics , artificial intelligence , image segmentation , paleontology , segmentation , quantum mechanics , biology , programming language
Summary This paper presents a contribution to level‐set reinitialization in the context of discontinuous Galerkin finite element methods. We focus on high‐order polynomials for the discretization and level set geometries, which are comparable to the element size. In contrast to hyperbolic and geometric reinitialization techniques, our method relies on solving a nonlinear elliptic PDE iteratively. We critically compare two different variants of the algorithm experimentally in numerical studies. The results demonstrate that the method is stable for nontrivial test cases and shows high‐order accuracy. Copyright © 2016 John Wiley & Sons, Ltd.