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Bounded renormalization with continuous penalization for level set interface‐capturing methods
Author(s) -
Battaglia L.,
Storti M. A.,
D'Elía J.
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2925
Subject(s) - advection , bounded function , smoothness , renormalization , level set (data structures) , partial differential equation , level set method , scalar (mathematics) , scalar field , finite element method , function (biology) , mathematics , mathematical analysis , computer science , physics , geometry , mathematical physics , image segmentation , segmentation , artificial intelligence , evolutionary biology , biology , thermodynamics
Abstract In this work, a reinitialization procedure oriented to regularize the level set (LS) function field is presented. In LS approximations for two‐fluid flow simulations, a scalar function indicates the presence of one or another phase and the interface between them. In general, the advection of such function produces a degradation of some properties of the LS function, such as the smoothness of the transition between phases and the correct position of the interface. The methodology introduced here, denominated bounded renormalization with continuous penalization, consists of solving by the finite element method a partial differential equation with certain distinguishing properties with the aim of keeping the desirable properties of the LS function. The performance of the strategy is evaluated for several typical cases in one, two and three‐dimensional domains, for both the advection and the renormalization stages. Copyright © 2010 John Wiley & Sons, Ltd.