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KIAM Preprint  71, Moscow, 2021
Authors: Polyakov S.V., Trapeznikova M.A., Churbanov A.G., Churbanova N.G.
Prediction of incompressible flows in a porous medium-free stream system
Abstract:
This paper deals with a model for coupled calculations of porous medium-free flow systems. It is based on the generalized Navier-Stokes equations obtained by averaging over a representative elementary volume of a porous medium and written for the entire computational domain consisting of two subdomains with different media. To implement numerically this model, a computational algorithm based on the finite element method for the coupled formulation of the equations for the momentum and continuity was developed by applying Newton's method. The verification of the developed calculation method was carried out on two verification cases using the known numerical results of other authors.
Keywords:
Brinkmans model, Navier-Stokes equations, open software, FEM, FEniCS, Newtons method
Publication language: russian,  pages: 19
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Polyakov Sergey Vladimirovich,  orcid.org/0000-0003-1859-9034KIAM RAS
  • Trapeznikova Marina Alexandrovna,  orcid.org/0000-0001-6008-9535KIAM RAS
  • Churbanov Alexander Georgievich,  orcid.org/0000-0002-7950-6041KIAM RAS
  • Churbanova Natalia Gennadievna,  orcid.org/0000-0002-6088-9687KIAM RAS