Abstract:
This work deals with a model for coupled predictions of flows in domains containing a fluid–saturated porous medium and free stream. The model is based on the generalized Navier–Stokes equations for an incompressible fluid, obtained by averaging over a representative elementary volume of the porous medium and written for the entire computational domain, consisting of two subdomains differing in its properties. To implement numerically this model, we have developed a computational algorithm based on the finite element method and Newton's method for solving nonlinear equations. It was implemented using the open computational platform FEniCS. The verification of the developed numerical technique was conducted on the known numerical results of other authors. In addition, model predictions of flows in an automobile catalytic converter were performed and discussed.
Citation:
A. G. Churbanov, N. G. Churbanova, M. A. Trapeznikova, “Coupled prediction of flows in domains containing a porous medium and free stream”, Mat. Model., 35:1 (2023), 34–50; Math. Models Comput. Simul., 15:4 (2023), 643–653
\Bibitem{ChuChuTra23}
\by A.~G.~Churbanov, N.~G.~Churbanova, M.~A.~Trapeznikova
\paper Coupled prediction of flows in domains containing a porous medium and free stream
\jour Mat. Model.
\yr 2023
\vol 35
\issue 1
\pages 34--50
\mathnet{http://mi.mathnet.ru/mm4432}
\crossref{https://doi.org/10.20948/mm-2023-01-03}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 4
\pages 643--653
\crossref{https://doi.org/10.1134/S207004822304004X}
Linking options:
https://www.mathnet.ru/eng/mm4432
https://www.mathnet.ru/eng/mm/v35/i1/p34
This publication is cited in the following 3 articles:
A. G. Churbanov, “Validation Prediction of an Incompressible Flow in a Porous Medium–Free Stream System”, Math Models Comput Simul, 17:1 (2025), 63
A. G. Churbanov, “Validatsionnyi raschet neszhimaemogo techeniya v sisteme poristoe telo–svobodnyi potok”, Matem. modelirovanie, 36:5 (2024), 101–119
N. G. Churbanova, M. A. Trapeznikova, A. G. Churbanov, V. V. Emets, 2023 Systems of Signals Generating and Processing in the Field of on Board Communications, 2023, 1
Citation in format AMSBIB
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