Shape optimization of spatial chemostat models
| Autor: | Crespo, M., Ivorra, B., Ramos, A. M., Alain Rapaport |
|---|---|
| Přispěvatelé: | Universidad Politécnica de Madrid (UPM), Universidad Complutense de Madrid [Madrid] (UCM), Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA), Institut National de la Recherche Agronomique (INRA)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)-Institut National de la Recherche Agronomique (INRA), Universidad Complutense de Madrid = Complutense University of Madrid [Madrid] (UCM), Spanish 'Ministry of Economy and Competitiveness' : MTM2015-64865-P, research group MOMAT - Universidad Complutense de Madrid : 910480, Junta de Andalucia, European Regional Development Fund : P12-TIC301, ANR-10-LABX-0020,NUMEV,Digital and Hardware Solutions and Modeling for the Environement and Life Sciences(2010) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
chemostat
Shape optimization Optimal design Continuous bioreactor Spatial chemostat model Advection- diffusion-reaction lcsh:Mathematics Analysis of PDEs hybrid genetic algorithm bioréacteur lcsh:QA1-939 Quantitative Biology::Cell Behavior Physics::Fluid Dynamics Process Engineering continuous bioreactor Optimization and Control spatial chemostat model [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Equations aux dérivées partielles [SPI.GPROC]Engineering Sciences [physics]/Chemical and Process Engineering Optimisation et contrôle [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] advection-diffusion-reaction optimal design Génie des procédés modélisation |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2019, Iss 84, Pp 1-26 (2019) Electronic Journal of Differential Equations Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2019, 84, pp.1-26 Electronic Journal of Differential Equations, 2019, 84, pp.1-26 Scopus-Elsevier Electronic Journal of Differential Equations 84, 1-26. (2019) Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2019, 84 (84), pp.1-26 |
| ISSN: | 1072-6691 |
| Popis: | In this work, we study the shape optimization of a continuous bioreactor in which a substrate is degraded by a microbial ecosystem in a nonhomogeneous environment. The bioreactor considered here is a three-dimensional vertically oriented cylindrical tank. The behavior of reactants is described with a spatial chemostat model based on an Advection-Diffusion-Reaction system while the fluid flow is modeled using incompressible Navier-Stokes equations. We consider that the reaction rate between biomass and nutrient shows either monotonic or non-monotonic behavior. We tackle an optimization problem which aims to minimize the considered total reactor volume, with an output concentration (at stationary state) maintained below a desired threshold, by choosing a suitable bioreactor shape. We propose a methodology to create three different discrete parametrizations of the bioreactor geometry and obtain the optimized shapes with the help of a Hybrid Genetic Algorithm. We show that the optimized reactors exhibit height much larger than width and their exterior wall is concavely curved (the concavity at the upper part of the exterior wall being more pronounced for non-monotonic functions). |
| Databáze: | OpenAIRE |
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