This paper investigates entropy generation due to forced convection in a porous medium sandwiched between two parallel plates one of them being subjected to a uniform heat flux and the other one insulated. Our results showed that viscous dissipation will affect the entropy generation rate at the centerline of the channel since viscous dissipation is a quadratic function of velocity [1-3]. Negle...

The problems of steady film condensation on a vertical surface embedded in a thin porous medium with anisotropic permeability filled with pure saturated vapour are studied analytically by using the Brinkman-Darcy flow model. The principal axes of anisotropic permeability are oriented in a direction that non-coincident with the gravity force. On the basis of the flow permeability tensor due to t...

The Darcy model is based on a plethora of assumptions. One of the most important assumptions is that the Darcy model assumes the drag coefficient to be constant. However, there is irrefutable experimental evidence that viscosities of organic liquids and carbon-dioxide depend on the pressure. Experiments have also shown that the drag varies nonlinearly with respect to the velocity at high flow r...

We develop a finite element discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media, i.e., porous media with cavities. The finite element method uses low order mixed finite elements in the Darcy and Stokes domains, and special transition elements near the Darcy-Stokes interface to allow for tangential discontinuities implied by the Beavers-Joseph bo...

Hellman, F. 2017. Numerical Methods for Darcy Flow Problems with Rough and Uncertain Data. Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology 1495. 41 pp. Uppsala: Acta Universitatis Upsaliensis. ISBN 978-91-554-9872-6. We address two computational challenges for numerical simulations of Darcy flow problems: rough and uncertain data. The rapidly ...

We propose and analyze a hybrid discontinuous Galerkin method for the solution of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated in numerical examples.

We present a new conservative multiscale method for Stokes flow in heterogeneous porous media. The method couples a discontinuous Galerkin finite element method (DG-FEM) at the macroscopic scale for the solution of an effective Darcy equation with a Stokes solver at the pore scale to recover effective permeabilities at macroscopic quadrature points. To avoid costly computation of numerous Stoke...

The purpose of this thesis is to investigate, from both the mathematical and numerical viewpoint, the coupling of surface and porous media flows, with particular concern on environmental applications. Domain decomposition methods are applied to set up effective iterative algorithms for the numerical solution of the global problem. To this aim, we reformulate the coupled problem in terms of an i...