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

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.



	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= "",
	journal = {ESAIM: ProcS},
	year = 2016,
	volume = 55,
	pages = "83-110",