BFree Finite Element Approach for Saturated Porous Media: Consolidation

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

Stabilized finite element methods for miscible displacement in porous media

In this paper, we shall dérive a new model for the miscible displacement of one incompressible fluid by another in porous media using simple physical conservation laws For a dilute mixture m which the density can be approximated by a constant, this new model reduces to the standard one used for the last decade The model is governed by a nonlinear system consisting of pressure and concentration ...

Mixed Finite Element Approximation of Darcy's Law in Porous Media

A mixed nite element formulation for eeciently computing the velocity eld for uid ows in porous media is presented. Raviart Thomas (RT 0) and Brezzi Douglas Marini (BDM 1) spaces of lowest order are considered and compared both on analytic and realistic test cases. The BDM 1 space proves to be preferable to the simpler RT 0 with respect to CPU time and memory storage, if a xed accuracy is requi...

Adaptive finite element simulation of Stokes flow in porous media

The Stokes problem describes flow of an incompressible constant-viscosity fluid when the Reynolds number is small so that inertial and transient-time effects are negligible. The numerical solution of the Stokes problem requires special care, since classical finite element discretization schemes, such as piecewise linear interpolation for both the velocity and the pressure, fail to perform. Even...