Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++
Author (s): Dollé, G.; Duran, O.; Feyeux, N.; Frénod, E.; Giacomini, M.; Prud’homme, C.
Journal: ESAIM: Proceedings and Surveys
Volume: 55
Pages: 83 – 110
Date: 2016
Abstract:
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.
Bibtex:
@article{MG-DDFFGP-16, author = {{Doll\'e, Guillaume} and {Duran, Omar} and {Feyeux, Nelson} and {Fr\'enod, Emmanuel} and {Giacomini, Matteo} and {Prud\'{}homme, Christophe}}, title = {Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++*}, DOI= "10.1051/proc/201655083", url= "https://doi.org/10.1051/proc/201655083", journal = {ESAIM: ProcS}, year = 2016, volume = 55, pages = "83-110", }