We construct a new class of locally conservative numerical methods for two-phase
immiscible flow in heterogeneous poroelastic media. Within the framework of the so-called …

We use a nonoverlapping iterative domain decomposition procedure based on the Robin
interface condition to develop a new multiscale mixed method to compute the velocity field in …

We propose a physics-based, macroscale formulation of multiphase porous-media flows that
both honors the validity of Darcy's law in steady or near-steady flows and accommodates the …

In this paper, we develop a new Godunov‐type semi‐discrete central scheme for a scalar
conservation law on the basis of a generalization of the Kurganov and Tadmor scheme …

Fluid mixing in permeable media is essential in many practical applications. The mixing
process is a consequence of velocity fluctuations owing to geological heterogeneities and …

This paper deals with the random linear advection equation for which the time-dependent
velocity and the initial condition are independent random functions. Expressions for the …

SUMMARY A new multiscale procedure is proposed to compute flow in compressible
heterogeneous porous media with geology characterized by power‐law covariance …

In this paper is introduced a new numerical formulation for solving degenerate nonlinear
coupled convection dominated parabolic systems in problems of flow and transport in …

An object-oriented framework is developed to implement discrete models in a monolithic
solution of coupled systems of partial differential equations by combining different kinds of …

A numerical method used for solving a two-phase flow problem as found in typical oil
recovery is investigated in the setting of physics-based two-level operator splitting. The …