Multiscale simulation of the heat and mass transfer with Brinkman model

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 approxima...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-11, Vol.1392 (1), p.12063
Main Authors: Alekseev, Valentin, Vasilyeva, Maria, Vasiliev, Vasily
Format: Article
Language:English
Subjects:
Approximation
Basis functions
Brinkman model
Galerkin method
Heat transfer
Mass transfer
Mathematical analysis
Mathematical models
Physics
Two dimensional models
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1392/1/012063