Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 3, Issue 2


Published
on

December 31, 2018


Pages

553-570


DOI

Article

Designing optimal trajectories for a skimmer ship to clean, recover and prevent the oil spilled on the sea from reaching the coast

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Authors

Susana Gomez Affiliation:
Instituto de Matemáticas Aplicadas y Sistemas, Universidad Nacional A. de México, México, America
, Benjamin Ivorra Affiliation:
Departamento de Análisis Matemático y Matemática Aplicada, Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, Madrid, España
and Angel M. Ramos Affiliation:
Departamento de Análisis Matemático y Matemática Aplicada, Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, Madrid, España


Abstract

In this work, we use an Eulerian mathematical model to forecast the movement of oil spills in the open sea and we design objective functions to obtain optimal trajectories for skimmer ships to clean and recover the oil. Here, we first validate the ability of this mathematical model to forecast the fate of the oil by comparing our results with satellite images. Then, we create a synthetic study case based on real data, and we show that following optimal trajectories greatly improves the amount of oil recovered at the whole area of study.


Keywords

Forecast the evolution of oil spills, Eulerian mathematical model, Optimal trajectories for skimmer ships, Avoid the oil reaching the coast, Clean and recover oil spills, 46N10, 34A34, 35Qxx


Citation

Gomez, S., Ivorra, B., & Ramos, A. M. (2018). Designing optimal trajectories for a skimmer ship to clean, recover and prevent the oil spilled on the sea from reaching the coast. Applied Mathematics and Nonlinear Sciences, 3(2), 553–570. https://doi.org/10.2478/AMNS.2018.2.00043

Published by: Engineering Journals

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