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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:337

Article

El Dine, Houssein Nasser^1,2,3  Saad, Mazen¹ 

[1] CNRS, Ecole Cent Nantes, Lab Math Jean Leray, UMR 6629, 1 Rue Noe, F-44321 Nantes, France

[2] Univ Libanaise, EDST, Hadath, Lebanon

[3] Univ Libanaise, Fac Sci 1, Lab Math, Hadath, Lebanon

关键词: Darcy-Brinkman;    Two-phase flow;    Porous media;    Finite volume;    Finite element;   

DOI  :  10.1016/j.cam.2017.12.037

来源: Elsevier

【 摘 要 】

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 nonlinear terms. This paper deals with construction and convergence analysis of a combined finite volume-nonconforming finite element scheme together with a phase-by-phase upstream according to the total velocity. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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