Discontinuous approximation of viscous two-phase flow in heterogeneous porous media
作者： Raimund Bürger , Sarvesh Kumar , Kenettinkara Sudarshan Kumar , Ricardo Ruiz-Baier
DOI: 10.1016/J.JCP.2016.05.043
关键词:
摘要: Runge-Kutta Discontinuous Galerkin (RKDG) and Finite Volume Element (DFVE) methods are applied to a coupled flow-transport problem describing the immiscible displacement of viscous incompressible fluid in non-homogeneous porous medium. The model consists nonlinear pressure-velocity equations (assuming Brinkman flow) hyperbolic equation governing mass balance (saturation equation). conservation properties inherent finite volume-based motivate DFVE scheme for approximation flow combination with RKDG method spatio-temporal discretization saturation equation. stability uncoupled schemes is analyzed, several numerical experiments illustrate robustness method.
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