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On level set modelling of bi‐fluid capillary flow
Author(s) -
Lesage AnneCécile,
Allain Olivier,
Dervieux Alain
Publication year - 2007
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.1449
Subject(s) - advection , discretization , initialization , level set (data structures) , flow (mathematics) , capillary action , mechanics , polygon mesh , volume of fluid method , level set method , computational fluid dynamics , function (biology) , set (abstract data type) , mathematics , computer science , geometry , mathematical analysis , physics , meteorology , thermodynamics , segmentation , artificial intelligence , evolutionary biology , biology , image segmentation , programming language
We consider the adaptation of a level set (LS) method for the simulation of capillary flows on unstructured meshes. The advection step is first analysed. In order not to lose accuracy, this step should be one order more accurate than the discretization of the velocity. We then compare different ways in choosing the LS velocity and in re‐initializing the LS function between advection phases without losing too much accuracy. Applications to Rayleigh flows and to reorientation with contact angle are presented. Copyright © 2007 John Wiley & Sons, Ltd.

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