Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++

Guillaume Dollé; Omar Duran; Nelson Feyeux; Emmanuel Frénod; Matteo Giacomini; Christophe Prud’homme

doi:10.1051/proc/201655083

Geodesic

Parcourir par

Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++

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

ESAIM. Proceedings, Tome 55 (2016), pp. 83-110.

Voir la notice de l'article provenant de la source EDP Sciences

Résumé

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

Affiliations des auteurs :

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

@article{EP_2016_55_a5,
     author = {Guillaume Doll\'e and Omar Duran and Nelson Feyeux and Emmanuel Fr\'enod and Matteo Giacomini and Christophe Prud{\textquoteright}homme},
     title = {Mathematical modeling and numerical simulation of a bioreactor landfill using {Feel++}},
     journal = {ESAIM. Proceedings},
     pages = {83--110},
     publisher = {mathdoc},
     volume = {55},
     year = {2016},
     doi = {10.1051/proc/201655083},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201655083/}
}

TY  - JOUR
AU  - Guillaume Dollé
AU  - Omar Duran
AU  - Nelson Feyeux
AU  - Emmanuel Frénod
AU  - Matteo Giacomini
AU  - Christophe Prud’homme
TI  - Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++
JO  - ESAIM. Proceedings
PY  - 2016
SP  - 83
EP  - 110
VL  - 55
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201655083/
DO  - 10.1051/proc/201655083
LA  - en
ID  - EP_2016_55_a5
ER  -

%0 Journal Article
%A Guillaume Dollé
%A Omar Duran
%A Nelson Feyeux
%A Emmanuel Frénod
%A Matteo Giacomini
%A Christophe Prud’homme
%T Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++
%J ESAIM. Proceedings
%D 2016
%P 83-110
%V 55
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201655083/
%R 10.1051/proc/201655083
%G en
%F EP_2016_55_a5

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. http://geodesic.mathdoc.fr/articles/10.1051/proc/201655083/

Cité par Sources :