An optimization problem related to water artificial recirculation for\n controlling eutrophication

2019/02/01 by Francisco J. Fernández, Fernández, Francisco J., Áurea Martínez +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical Biology Tumor Growth #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1902.00283

openalex publication_date 2019/02/01 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

In this work, the artificial recirculation of water is presented and\nanalyzed, from the perspective of the optimal control of partial differential\nequations, as a tool to prevent eutrophication effects in large waterbodies. A\nnovel formulation of the environmental problem, based on the coupling of\nnonlinear models for hydrodynamics, water temperature and concentrations of the\ndifferent species involved in the eutrophication processes, is introduced.\nAfter a complete and rigorous analysis of the existence of optimal solutions, a\nfull numerical algorithm for their computation is proposed. Finally, some\nnumerical results for a realistic scenario are shown, in order to prove the\nefficiency of our approach.\n

Citations

• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

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