Geodesic
Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++
Guillaume Dollé1 ; Omar Duran2 ; Nelson Feyeux3 ; Emmanuel Frénod4 ; Matteo Giacomini5, 6 ; Christophe Prud’homme1
1Université de Strasbourg, IRMA UMR 7501, 7 rue René Descartes, 67084 Strasbourg, France
2State University of Campinas, SP, Brazil
3MOISE team, INRIA Grenoble Rhône-Alpes. Université de Grenoble, Laboratoire Jean Kuntzmann, UMR 5224, Grenoble, France
4Université de Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes, France
5CMAP, Inria, Ecole polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau, France
6DRI Institut Polytechnique des Sciences Avancées, 63 Boulevard de Brandebourg, 94200 Ivry-sur-Seine, France
ESAIM. Proceedings, Tome 55 (2016), pp. 83-110
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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.
DOI : 10.1051/proc/201655083

Guillaume Dollé  1   ; Omar Duran  2   ; Nelson Feyeux  3   ; Emmanuel Frénod  4   ; Matteo Giacomini  5 , 6   ; Christophe Prud’homme  1

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 
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     title = {Mathematical modeling and numerical simulation of a bioreactor landfill using {Feel++}},
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Guillaume Dollé; Omar Duran; Nelson Feyeux; Emmanuel Frénod; Matteo Giacomini; Christophe Prud’homme. Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++. ESAIM. Proceedings, Tome 55 (2016), pp. 83-110. doi: 10.1051/proc/201655083

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