Bioreactor shape optimisation. Modeling, simulation, and shape optimization of a simple bioreactor for water treatment

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In this paper, we focus on the modeling, simulation and shape optimization of a dispersive bio-reactor in which a substrate is degraded by a microbial ecosystem in an non homogeneous environment. Two different modeling approaches are used in order to obtain a low computational model to quickly evaluate the behavior of our bio-reactor. The first one is based on coupled spatial and time dependent EDPs. The second one, obtained by optimization, is based on two interconnected systems of ODEs with coefficient calibrated using the first PDE model. Preliminary results assuming a Monod kinetics are presented.
Dans cet article, nous étudions la conception optimale d'un réacteur biologique dans lequel un substrat est dégradé par un écosystème microbien dans un environnement non homogène. Dans le but d'obtenir un modèle entrée-sortie simple sous la forme d'un système d'EDOs mais prenant en compte le caractère non homogène du réacteur, un premier modèle de dimension infini est approximé par une interconnection de chemostats. Les résultats préliminaires en considérant une cinétique de Monod sont présentés.
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