Approximation of compressible two phase flow in porous média combining mixed finite élément and finite volume methods
Titre du congrès :SIAM Conference on Mathematical and Computational Issues in the Geosciences
Ville du congrès :Santa Fe
Date du congrès :19/03/2007
We solve a System of coupled parabolic équation and nonlinear convection-diffusion équation. The MFE method is employed for the parabolic équation. A Godunov-type FV method is applied for the convective term and a conforming FE method with piecewise linear éléments is used for the dispersion term.
The results of convergence as well as L°° and BV estimâtes are shown. Numerical simulations are given for a 2D problem related to nuclear waste repository.