Numerical analysis of a finite volume scheme for two incompressible phase flow with dynamic capillary pressure

In this paper, we propose and analyze the convergence of a TPFA (Two Points Flux Approximation) finite volume scheme to approximate the two incompressible phase flow with dynamic capillary pressure in porous media. The fully implicit scheme is based on nonstandard approximation on mobilities and cap...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2018-05, Vol.75 (10), p.3614-3631
Hauptverfasser:	Bouadjila, Khaled, Mokrane, Abdelhafid, Saad, Ali Samir, Saad, Mazen
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Capillary flow Capillary pressure Computational fluid dynamics Convergence Dynamic capillary pressure Finite element method Finite volume method Finite volume scheme Flow velocity Fluid dynamics Fluid flow Incompressible flow Mathematical analysis Mathematical models Mathematics Numerical Analysis Porous media Pressure Two-phase flow
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