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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
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.
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
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About authors:
  • Polyakov Sergey Vladimirovich, RAS
  • Trapeznikova Marina Alexandrovna, RAS
  • Churbanov Alexander Georgievich, RAS
  • Churbanova Natalia Gennadievna, RAS