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Interface transport scheme of a two‐phase flow by the method of characteristics
Author(s) -
Haddad Mireille,
Hecht Frédéric,
Sayah Toni
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.4280
Subject(s) - interface (matter) , discretization , flow (mathematics) , boundary (topology) , compressibility , scheme (mathematics) , set (abstract data type) , boundary value problem , level set method , mechanics , function (biology) , two phase flow , phase (matter) , volume of fluid method , computer science , mathematical optimization , mathematics , mathematical analysis , physics , artificial intelligence , bubble , segmentation , maximum bubble pressure method , evolutionary biology , image segmentation , biology , programming language , quantum mechanics
Summary In this paper, we study an interface transport scheme of a two‐phase flow of an incompressible viscous immiscible fluid. The problem is discretized by the characteristics method in time and finite elements method in space. The interface is captured by the level set function. Appropriate boundary conditions for the problem of mold filling are investigated, a new natural boundary condition under pressure effect for the transport equation is proposed, and an algorithm for computing the solution is presented. Finally, numerical experiments show and validate the effectiveness of the proposed scheme. Copyright © 2016 John Wiley & Sons, Ltd.