This article is cited in 4 papers

Prediction of incompressible flows in a porous medium-free stream system

S. V. Polyakov, M. A. Trapeznikova, A. G. Churbanov, N. G. Churbanova


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: Brinkman’s model, Navier-Stokes equations, open software, FEM, FEniCS, Newton’s method.

DOI: 10.20948/prepr-2021-71