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Pre-Publicación 2015-13

Raimund Bürger, Sudarshan K. Kenettinkara, Sarvesh Kumar, Ricardo Ruiz-Baier:

Finite volume element-discontinuous Galerkin approximation of viscous two-phase flow in heterogeneous porous media

Abstract:

Runge-Kutta Discontinuous Galerkin (RKDG) and Discontinuous Finite Volume Element (DFVE) methods are applied to a coupled flow-transport problem describing the immiscible displacement of a viscous incompressible fluid in a non-homogeneous porous medium. The model problem consists of a nonlinear pressure-velocity equation assuming Brinkman flow, coupled to a nonlinear hyperbolic equation governing the mass balance (saturation equation). The mass conservation properties inherent to finite volume-based methods motivate a DFVE scheme for the approximation of the Brinkman flow in combination with a RKDG method for the spatio-temporal discretization of the saturation equation. The stability of the scheme for the saturation equation is analyzed. Several numerical experiments illustrate the robustness of the numerical method.

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Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):

Raimund BüRGER, Sudarshan K. KENETTINKARA, Sarvesh KUMAR, Ricardo RUIZ-BAIER: Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. Journal of Computational Physics, vol. 321, pp. 126-150, (2016).