Numerical modeling of two-phase flow in heterogeneous permeable media with different capillarity pressures

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Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure (2013, methodology): “A numerical method based on mixed finite element was developed by Hoteit and Firoozabadi [34], while a discontinuous Galerkin method has been proposed by Ern et al.”
ON ITERATIVE IMPES FORMULATION FOR TWO-PHASE FLOW WITH CAPILLARITY IN HETEROGENEOUS POROUS MEDIA (2010, methodology): “In this paper, we follow the two-phase flow formulation [38, 43, 53].”
A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure (2013, unknown): “The capillary pressure and relative permeability curves are similar to those in [12].”
Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media (2019, methodology): “We firstly test the Buckely-Leverett problem in a 1D homogeneous porous medium with different fluid properties and zero capillary pressure (as presented in [27]).”
An efficient numerical model for multicomponent compressible flow in fractured porous media (2014, methodology): “For completeness we present briefly the MFE discretization; further details can be found in [1,37].”