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Preprints, Working Papers, ... Year : 2016

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.
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Dates and versions

hal-01258643 , version 1 (19-01-2016)
hal-01258643 , version 2 (19-11-2016)

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Guillaume Dollé, Omar Duran, Nelson Feyeux, Emmanuel Frénod, Matteo Giacomini, et al.. Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++. 2016. ⟨hal-01258643v1⟩
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