Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++
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.
Keywords
Cite
@article{arxiv.1601.05556,
title = {Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++},
author = {Guillaume Dollé and Omar Duran and Nelson Feyeux and Emmanuel Frénod and Matteo Giacomini and Christophe Prud'homme},
journal= {arXiv preprint arXiv:1601.05556},
year = {2018}
}