A Numerical Approximation of Nonfickian Flows with Mixing Length Growth in Porous Media

Finite Volume Element Approximations of Nonlocal Reactive Flows in Porous Media

In this paper we study nite volume element approximations for two dimensional parabolic integro di erential equations arising in modeling of nonlocal reactive ows in porous media These type of ows are also called NonFickian ows with mixing length growth For simplicity we only consider linear nite volume element methods although higher order volume elements can be considered as well under this f...

Backward Euler Mixed FEM and Regularity of Parabolic Integrao-Differential Equations with Non-smooth Data

he nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, and can be modeled by an integro-differential equation. This paper studies a backward Euler scheme for the mixed finite element approximate solution of such problems with non-smooth initial data. A new regularity result is derived for the model problem, ...

Finite Volume Element Approximations of Integro-differential Parabolic Problems

In this paper we study nite volume element approximations for two dimensional parabolic integro di erential equations arising in modeling of nonlocal reactive ows in porous media These types of ows are also called NonFickian ows and exhibit mixing length growth For simplicity we only consider linear nite vol ume element methods although higher order volume elements can be considered as well und...

L1-error Estimates and Superconvergence in Maximum Norm of Mixed Finite Element Methods for Nonfickian Flows in Porous Media

Absolute Permeability Calculation by Direct Numerical Simulation in Porous Media

Simulating fluid flow at micro level is an ongoing problem. Simplified macroscopic flow models like Darcy’s law is unable to estimate fluid dynamic properties of porous media. The digital sample reconstruction by high resolution X-ray computed tomography scanning and fluid-dynamics simulation, together with the increasing power of super-computers, allow to carry out pore-scale simulations throu...