<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Departamento de Análisis Matemático y Matemática Aplicada

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: Dec 31, 2018

Page range: 553 - 570

Received: Sep 18, 2018

Accepted: Dec 18, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00043

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

© 2018 Susana Gomez et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Dec 31, 2018

Page range: 553 - 570

Received: Sep 18, 2018

Accepted: Dec 18, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00043

KeywordsForecast the evolution of oil spills, Eulerian mathematical model, Optimal trajectories for skimmer ships, Avoid the oil reaching the coast, Clean and recover oil spills

© 2018 Susana Gomez et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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