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

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... 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.