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A geometric mass‐preserving redistancing scheme for the level set function
Author(s) -
Ausas Roberto F.,
Dari Enzo A.,
Buscaglia Gustavo C.
Publication year - 2011
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.2227
Subject(s) - curvilinear coordinates , level set method , level set (data structures) , cartesian coordinate system , algorithm , partial differential equation , set (abstract data type) , function (biology) , finite element method , mathematics , salient , computer science , mathematical optimization , image (mathematics) , geometry , mathematical analysis , artificial intelligence , image segmentation , engineering , structural engineering , evolutionary biology , biology , programming language
In this paper we describe and evaluate a geometric mass‐preserving redistancing procedure for the level set function on general structured grids. The proposed algorithm is adapted from a recent finite element‐based method and preserves the mass by means of a localized mass correction. A salient feature of the scheme is the absence of adjustable parameters. The algorithm is tested in two and three spatial dimensions and compared with the widely used partial differential equation (PDE)‐based redistancing method using structured Cartesian grids. Through the use of quantitative error measures of interest in level set methods, we show that the overall performance of the proposed geometric procedure is better than PDE‐based reinitialization schemes, since it is more robust with comparable accuracy. We also show that the algorithm is well‐suited for the highly stretched curvilinear grids used in CFD simulations. Copyright © 2010 John Wiley & Sons, Ltd.