Analytical and variational numerical methods for unstable miscible displacement flows in porous media

Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods... Discrete duality finite volume

Abstract We study the convergence of a combined finite volume nonconforming finite element scheme on general meshes for a partially miscible two-phase flow model in anisotropic

Dans le deuxi`eme chapitre, nous nous int´eressons `a l’´etude du probl`eme Brinkman Forchheimer stationnaire avec des conditions au limites portant `a la fois sur la pression et sur

Abstract — 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

Ail of the previous analyses of naturally fractured réservoir simulation [1], [2], [4] hâve assumed that the time step used to solve the matrix équations is the same as that used

A mixed finite element approximation is usedfor the pressure équation while a discontinuous upstream weighting scheme in conjunction with a mixed finite element method is

A modification of the mixed method is proposed when the flow is located at sources and sinks (i.e., wells), and convergence is established at reduced rates in the special case when

— An efficient time-steppingprocedure is introduced to treat the continuous-time method of the authors which employs a mixed finite element method to approximate the pressure and