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Numerical Simulation of Multi-Phase Multi-Component Reactive Flow in Porous Media

Hron, Pavel

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Abstract

In this thesis we develop a multi-component multi-phase reactive transport simulator to facilitate the investigation of a large variety of phenomena in porous media including component transport, diffusion, microbiological growth and decay, cell attachment and detachment and phase exchange. The coupled problem is solved using operator splitting approach. This approach enables us to use higher-order schemes and reduce numerical diffusion, which can result in an overestimation of phase exchange and reaction processes. Furthermore, this approach allows a flexible adaptation of the solution strategy to the concrete problem. We conduct an in-depth comparison of the fully-coupled and splitting approaches in order to derive criteria for the most efficient scheme depending on the relative importance of advection, diffusion and reaction.

Item Type: Dissertation
Supervisor: Bastian, Prof. Dr. Peter
Date of thesis defense: 21 July 2015
Date Deposited: 26 Aug 2015 08:46
Date: 2015
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Service facilities > Interdisciplinary Center for Scientific Computing
Service facilities > Graduiertenschulen > Graduiertenschule Wissenschaftliches Rechnen
Subjects: 004 Data processing Computer science
500 Natural sciences and mathematics
510 Mathematics
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