An optimization problem related to water artificial recirculation for controlling eutrophication

In this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent eutrophication effects in large waterbodies. A novel formulation of the environmental problem, based on the coupling of n...

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Authors: Fernández, Francisco J, Martínez, Aurea, Alzarez-Vázquez, Lino J
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Eutrophication
Fluid flow
Hydrodynamics
Numerical analysis
Optimal control
Partial differential equations
Water temperature
Online Access:Get full text
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Summary:In this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent eutrophication effects in large waterbodies. A novel formulation of the environmental problem, based on the coupling of nonlinear models for hydrodynamics, water temperature and concentrations of the different species involved in the eutrophication processes, is introduced. After a complete and rigorous analysis of the existence of optimal solutions, a full numerical algorithm for their computation is proposed. Finally, some numerical results for a realistic scenario are shown, in order to prove the efficiency of our approach.
ISSN:2331-8422