| Issue |
ESAIM: ProcS
Volume 55, December 2016
CEMRACS 2015: Coupling multi-physics models involving fluids
|
|
|---|---|---|
| Page(s) | 83 - 110 | |
| DOI | https://doi.org/10.1051/proc/201655083 | |
| Published online | 15 February 2017 | |
Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++*
1
Université de Strasbourg, IRMA UMR 7501, 7 rue René Descartes, 67084 Strasbourg, France
2
State University of Campinas, SP, Brazil
3
MOISE team, INRIA Grenoble Rhône-Alpes. Université de Grenoble, Laboratoire Jean Kuntzmann, UMR 5224, Grenoble, France
4
Université de Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes, France
5
CMAP, Inria, Ecole polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau, France
6
DRI Institut Polytechnique des Sciences Avancées, 63 Boulevard de Brandebourg, 94200 Ivry-sur-Seine, France
a E-mail: dolle@math.unistra.fr; prudhomme@unistra.fr
b E-mail: omar@dep.fem.unicamp.br
c E-mail: nelson.feyeux@imag.fr
d E-mail: emmanuel.frenod@univ-ubs.fr
e E-mail: matteo.giacomini@polytechnique.edu
In this paper, we propose a mathematical model to describe the functioning of a bioreactor landfill, that is a waste management facility in which biodegradable waste is used to generate methane. The simulation of a bioreactor landfill is a very complex multiphysics problem in which bacteria catalyze a chemical reaction that starting from organic carbon leads to the production of methane, carbon dioxide and water. The resulting model features a heat equation coupled with a non-linear reaction equation describing the chemical phenomena under analysis and several advection and advection-diffusion equations modeling multiphase flows inside a porous environment representing the biodegradable waste. A framework for the approximation of the model is implemented using Feel++, a C++ open-source library to solve Partial Differential Equations. Some heuristic considerations on the quantitative values of the parameters in the model are discussed and preliminary numerical simulations are presented.
This work has been supported by the LMBA Université de Bretagne-Sud, the project PEPS Amies VirtualBioReactor and the private funding of See-d and Entreprise Charier.
The project is hosted on the facilities at CEMOSIS whose support is kindly acknowledged.
M. Giacomini is member of the DeFI team at Inria Saclay Île-de-France.
© EDP Sciences, SMAI 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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