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Stability of a second‐order method for phase change in porous media flow
Author(s) -
Alvarez Mario,
GomezVargas Bryan,
Ruiz Baier Ricardo,
Woodfield James
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800021
Subject(s) - drag , porous medium , mechanics , stability (learning theory) , flow (mathematics) , porosity , viscosity , two phase flow , mathematics , materials science , thermodynamics , physics , computer science , composite material , machine learning
We analyse the stability of a second‐order finite element scheme for the primal formulation of a Brinkman‐Boussinesq model where the solidification process influences the drag and the viscosity. The problem is written in terms of velocity, temperature, and pressure, and we produce numerical approximations to the flow observed in heated cavities and near ice sheets.