Open AccessMultiscale simulation of the heat and mass transfer with Brinkman model
Author(s) -
Valentin Alekseev,
Maria Vasilyeva,
Vasily. I. Vasiliev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1392/1/012063
Subject(s) - galerkin method , heat transfer , work (physics) , discontinuous galerkin method , flow (mathematics) , domain (mathematical analysis) , mathematics , grid , mass transfer , mechanics , mathematical optimization , mathematical analysis , physics , finite element method , thermodynamics , geometry
In this work, we consider a heat and mass transfer problem in heterogeneous media. Mathematical model is described by a system of equations for temperature, pressure and velocity. For simulations of the flow problem in domain with low permeable obstacles, we use a Brinkman model. Fine grid approximation is constructed based on the discontinuous Galerkin (IPDG) method for heat transfer and flow problems. For coarse grid approximation of the flow problem, we use a Generalized Multiscale Discontinuous Galerkin Method. Numerical results are presented for a two-dimensional model problem with different number of the multiscale basis functions.