Analysis of a finite volume-finite element method for Darcy-Brinkman two-phase flows in porous mediaReport as inadecuate




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1 ECN - École Centrale de Nantes 2 Lebanese University Beirut

Abstract : In this paper, we are interested in the displacement of two incompressible phases in a Darcy-Brinkman flow in a porous media.
The equations are obtained by the conservation of the mass and by considering the Brinkman regularization velocity of each phase.
This model is treated in its general form with the whole non-linear terms.
This paper deals with construction and convergence analysis of a combined finite volume-non conforming finite element scheme together with a phase-by-phase upstream according to the total velocity





Author: Houssein Nasser El Dine - Mazen Saad -

Source: https://hal.archives-ouvertes.fr/



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