Open AccessPrediction of incompressible flows in a porous medium-free stream system
Author(s) -
S. V. Polyakov,
Марина Трапезникова,
Alexander Churbanov,
Natalia Gennadievna Churbanova
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-71
Subject(s) - porous medium , compressibility , domain (mathematical analysis) , momentum (technical analysis) , incompressible flow , flow (mathematics) , finite element method , finite volume method , computer science , mechanics , mathematics , porosity , mathematical analysis , physics , engineering , geotechnical engineering , thermodynamics , finance , economics
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.