Controlling eutrophication by means of water recirculation: An optimal control perspective

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:Journal of computational and applied mathematics 2023-03, Vol.421, p.114886, Article 114886
Main Authors: Fernández, Francisco J., Martínez, Aurea, Alvarez-Vázquez, Lino J.
Format: Article
Language:English
Subjects:
Artificial recirculation
Eutrophication
Numerical optimization
Optimal control
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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:0377-0427
1879-1778
DOI:10.1016/j.cam.2022.114886