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Mathematical Models and Computer Simulations

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01-08-2023

Coupled Prediction of Flows in Domains Containing a Porous Medium and a Free Stream

Authors: A. G. Churbanov, N. G. Churbanova, M. A. Trapeznikova

Published in: Mathematical Models and Computer Simulations | Issue 4/2023

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Abstract

This study considers a model for coupled predictions of flows in domains containing a fluid-saturated porous medium and a 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 composition. To implement this model numerically, we develop a computational algorithm based on the finite element method and Newton’s method for solving nonlinear equations. It is implemented using the open computational platform FEniCS. The developed numerical technique is verified on the known numerical results of other authors. In addition, the model predictions of flows in an automobile catalytic converter are performed and discussed.

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Title: Coupled Prediction of Flows in Domains Containing a Porous Medium and a Free Stream
Authors: A. G. Churbanov
N. G. Churbanova
M. A. Trapeznikova
Publication date: 01-08-2023
Publisher: Pleiades Publishing
Published in: Mathematical Models and Computer Simulations / Issue 4/2023
Print ISSN: 2070-0482
Electronic ISSN: 2070-0490
DOI: https://doi.org/10.1134/S207004822304004X

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