Mechanistic modeling of water resources systems is a broad field with abundant challenges.
We consider classes of model formulations that are considered routine, the focus of current …

In this paper, we formulate and test numerically a fully-coupled discontinuous Galerkin (DG)
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …

In this paper we consider fully mass-conservative numerical schemes for the simulation of
incompressible and immiscible two-phase flow in porous media with capillary pressure …

We present a numerical method for approximating the solutions of degenerate parabolic
equations with a formal gradient flow structure. The numerical method we propose …

We present a new algebraic multigrid (AMG) algorithm for the solution of linear systems
arising from discontinuous Galerkin (DG) discretizations of heterogeneous elliptic problems …

In this paper, we propose an enriched Galerkin (EG) approximation for a two-phase
pressure saturation system with capillary pressure in heterogeneous porous media. The EG …

We consider an immiscible incompressible two-phase flow in a porous medium composed
of two different rocks so that the capillary pressure field is discontinuous at the interface …

This paper develops a general abstract framework for a posteriori estimates for immiscible
incompressible two-phase flows in porous media. We measure the error by the dual norm of …

We consider numerical simulation of two-phase flows in porous media using implicit
methods. Because of the complex features involving heterogeneous permeability and …

In this paper, we develop bound-preserving discontinuous Galerkin (DG) methods for the
coupled system of compressible miscible displacement problems. We consider the problem …