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An efficient edge‐based level set finite element method for free surface flow problems
Author(s) -
Rossi R.,
Larese A.,
Dadvand P.,
Oñate E.
Publication year - 2012
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.3680
Subject(s) - extrapolation , benchmark (surveying) , finite element method , flow (mathematics) , mathematics , level set method , level set (data structures) , finite volume method , set (abstract data type) , node (physics) , divergence (linguistics) , function (biology) , enhanced data rates for gsm evolution , free surface , boundary (topology) , surface (topology) , mathematical optimization , algorithm , geometry , computer science , mathematical analysis , mechanics , physics , artificial intelligence , image (mathematics) , image segmentation , linguistics , philosophy , geodesy , evolutionary biology , biology , programming language , geography , quantum mechanics , thermodynamics
SUMMARY We present an efficient technique for the solution of free surface flow problems using level set and a parallel edge‐based finite element method. An unstructured semi‐explicit solution scheme is proposed. A custom data structure, obtained by blending node‐based and edge‐based approaches is presented so to allow a good parallel performance. In addition to standard velocity extrapolation (for the convection of the level set function), an explicit extrapolation of the pressure field is performed in order to impose both the pressure boundary condition and the volume conservation. The latter is also improved with a modification of the divergence free constrain. The method is shown to allow an efficient solution of both simple benchmark cases and complex industrial examples. Copyright © 2012 John Wiley & Sons, Ltd.