Approximating the vanishing capillarity limit of two‐phase flow in multi‐dimensional heterogeneous porous medium
Approximating the vanishing capillarity limit of two‐phase flow in multi‐dimensional heterogeneous porous medium
Abstract Neglecting capillary pressure effects in two‐phase flow models for porous media may lead to non‐physical solutions: indeed, the physical solution is obtained as limit of the parabolic model with small but non‐zero capillarity. In this paper, we propose several numerical strategies designed specifically for approximating physically relevant solutions of …