Difference between revisions of "Transport in Porous Media"

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== Lattice Boltzmann Method ==
 
== Lattice Boltzmann Method ==
 
The Lattice Boltzmann method numerically solves the discretized Boltzmann equation  
 
The Lattice Boltzmann method numerically solves the discretized Boltzmann equation  
using a linearized collision operator, such as BGK or MRT, to simulate the flow of a Newtonian fluid.
+
using a linearized collision operator to simulate the flow of a Newtonian fluid. We use the  D3Q19 lattice model together with a single relaxation time (BGK) or two relaxation time (MRT/TRT) collision operator. Extensive calibrations for or implementations were performed by simulating Poiseuille Flow in pipes of varying shapes and sizes.
  
 
== Current Coworkers ==
 
== Current Coworkers ==
 
* Prof. Dr. [[Rudolf Hilfer]], Project supervisor
 
* Prof. Dr. [[Rudolf Hilfer]], Project supervisor
 
* [[Thomas Zauner]], PhD Student
 
* [[Thomas Zauner]], PhD Student

Revision as of 12:12, 6 May 2009

Introduction

Understanding fluid transport in natural porous media is important for many industrial and scientific applications. Computer simulations require accurate three-dimensional microscopic structure data as input and efficient numerical algorithms for fluid flow simulations. Natural porous media such as carbonates and clay filled sandstones exhibit heterogeneities on many scales and cannot be modeled by existing modeling techniques.

Our Project

A continuum model is developed for generating synthetic microcomputer-tomography data of multiscale porous media at arbitrary resolution. Large scale parallelized lattice-Boltzmann simulations are performed to calculate transport parameters, such as permeabilities using Darcy's Law, and other material parameters.

Lattice Boltzmann Method

The Lattice Boltzmann method numerically solves the discretized Boltzmann equation using a linearized collision operator to simulate the flow of a Newtonian fluid. We use the D3Q19 lattice model together with a single relaxation time (BGK) or two relaxation time (MRT/TRT) collision operator. Extensive calibrations for or implementations were performed by simulating Poiseuille Flow in pipes of varying shapes and sizes.

Current Coworkers