In this paper we consider a coupled system made of the Stokes and Darcy equations, and we propose some iteration-by-subdomain methods based on Robin conditions on the interface. We prove the convergence of these algorithms, and for suitable finite element approximations we show that the rate of convergence is independent of the mesh size h. A special attention is paid to the optimization of the...

A mathematical model is proposed for interpreting the love story between Elizabeth and Darcy portrayed by Jane Austen in the popular novel Pride and Prejudice. The analysis shows that the story is characterized by a sudden explosion of sentimental involvements, revealed by the existence of a saddle-node bifurcation in the model. The paper is interesting not only because it deals for the first t...

The behavior of a particle mixture composed short fibers and silicon carbide powder in variable proportions has been experimentally investigated. study shows that the hydrodynamic bed initially is affected as soon few percent are added. minimum fluidization velocity (Umf) globally lowered intrinsic properties porous medium (equivalent diameter, porosity, flow coefficients…) altered. Several equ...

In this study, a new cavity form filled under constant magnetic field by Ag/MgO/H2O nanofluids and porous media consistent with natural convection total entropy is examined. The nanofluid flow considered to be laminar incompressible, while the advection inertia effect in layer taken into account adopting Darcy–Forchheimer model. problem explained dimensionless of governing equations solved fini...

We study the generalized Forchheimer equations for slightly compressible fluids in porous media. The structural stability is established with respect to either the boundary data or the coefficients of the Forchheimer polynomials. An inhomogeneous Poincare-Sobolev inequality related to the non-linearity of the equation is used to study the asymptotic behavior of the solutions. Moreover, we prove...

We present novel enhanced finite element methods for the Darcy problem starting from the non stable continuous P1/P0 finite element space enriched with multiscale functions. The methods are derived in a Petrov-Galerkin framework where both velocity and pressure trial spaces are enriched with functions based on residuals of the strong equations in each element and edge partition. The strategy le...