Recent advancements in experimental techniques allow sub-core-scale heterogeneities to
be quantified in a high resolution. Based on the observations of heterogeneity distributions …

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 …

We describe a new nonlinear solver for immiscible two-phase transport in porous media,
where viscous, buoyancy, and capillary forces are significant. The flux (fractional flow) …

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

Nonlinear convergence problems in numerical reservoir simulation can lead to
unacceptably large computational time and are often the main impediment to performing …

We design and investigate a sequential discontinuous Galerkin method to approximate two-
phase immiscible incompressible flows in heterogeneous porous media with discontinuous …

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 …

The gradient scheme family, which includes the conforming and mixed finite elements as
well as the mimetic mixed hybrid family, is used for the approximation of Richards equation …

This paper presents a finite volume discretization of two-phase Darcy flows in discrete
fracture networks taking into account the mass exchange between the matrix and the …

Continuum models that describe two-phase flow of immiscible fluids in porous media often
treat momentum exchange between the two phases by simply generalizing the single-phase …