Add to ORKGHomogenization of flow in porous media is studied. The continuity equation in conjunction with Darcy’s law as a constitutive relation on the macroscale, where the permeability is a function of the pressure gradient, is applied to a macroscopic domain. On the heterogenous mesoscale, a Stokes flow problem is formulated on a Representative Volume Element with a prescribed pressure gradient and suitable boundary condition. The numerical procedure for finite element simulations of the two-scale problem is outlined and illustrated by a few example problems
Many problems of fundamental and practical importance have multiple scale solutions. The direct nume...
AbstractIn this paper we present a framework for computational homogenization of the fluid–solid int...
This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) projec...
Homogenization of flow in porous media is studied. The continuity equation in conjunction with Darcy...
In this paper we provide a general framework for model reduction methods applied to fluid flow in po...
Seepage through a strongly heterogeneous material, consisting of open saturated pores, is modeled as...
Porous materials are present in many natural as well as engineered structures. Engineering examples ...
In this paper we provide a general framework for model reduction methods applied to fluid flow in po...
Abstract. We derive a macroscopic model for single phase, incompressible, viscous fluid flow in a po...
The standard approximation for the flow-pressure relationship in porous media is Darcy's law that wa...
Homogenization has proved its effectiveness as a method of upscaling for linear problems, as they oc...
BackgroundSeepage in porous media is modeled as a Stokes flow in an open pore system contained in a ...
The two-scale computational homogenization method is proposed for modeling of locally periodic fluid...
We consider the homogenisation of the Stokes equations in a porous medium which is evolving in time....
The two-scale computational homogenization method is proposed for modeling of locally periodic fluid...
Many problems of fundamental and practical importance have multiple scale solutions. The direct nume...
AbstractIn this paper we present a framework for computational homogenization of the fluid–solid int...
This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) projec...
Homogenization of flow in porous media is studied. The continuity equation in conjunction with Darcy...
In this paper we provide a general framework for model reduction methods applied to fluid flow in po...
Seepage through a strongly heterogeneous material, consisting of open saturated pores, is modeled as...
Porous materials are present in many natural as well as engineered structures. Engineering examples ...
In this paper we provide a general framework for model reduction methods applied to fluid flow in po...
Abstract. We derive a macroscopic model for single phase, incompressible, viscous fluid flow in a po...
The standard approximation for the flow-pressure relationship in porous media is Darcy's law that wa...
Homogenization has proved its effectiveness as a method of upscaling for linear problems, as they oc...
BackgroundSeepage in porous media is modeled as a Stokes flow in an open pore system contained in a ...
The two-scale computational homogenization method is proposed for modeling of locally periodic fluid...
We consider the homogenisation of the Stokes equations in a porous medium which is evolving in time....
The two-scale computational homogenization method is proposed for modeling of locally periodic fluid...
Many problems of fundamental and practical importance have multiple scale solutions. The direct nume...
AbstractIn this paper we present a framework for computational homogenization of the fluid–solid int...
This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) projec...