A face‐centered finite volume method for high‐contrast Stokes interface problems
نویسندگان
چکیده
A new face-centred finite volume method (FCFV) for Stokes problems involving sharp interfaces is proposed. Two formulations, based on two strong forms of the problem, and using different mixed variables, are presented. Particular attention paid to symmetry resulting system global equations, a simple rewriting interface boundary condition proposed ensure that one formulations preserves linear usually lost when considering material interfaces. Four numerical examples considered test implementation numerically by performing mesh convergence studies, in three dimensions. The account discontinuous viscosity as well effect surface tension. results show less sensitive stabilisation used FCFV methods but does not preserve system, whereas other formulation more stabilisation, equations. appears promising alternative simulation viscous flow internal boundaries conformal meshes. potential application purpose geodynamic modelling discussed.
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Finite volume method for general multifluid flows governed by the interface Stokes problem
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2023
ISSN: ['0029-5981', '1097-0207']
DOI: https://doi.org/10.1002/nme.7294