Modelling and simulation of a polluted water pumping process

Authors:
Chitra Alavani;Roland Glowinski;Susana Gomez;Benjamin Ivorra;Pallavi Joshi;Angel Manuel Ramos
Affiliations:
Interdisciplinary School of Scientific Computing, University of Pune, India;Department of Mathematics, University of Houston, 651 P.G. Hoffman Hall, Houston, TX 77204-3008, USA;Instituto de Matematicas Aplicadas y Sistemas, Universidad Nacional A. de Mexico, Mexico;Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain;Interdisciplinary School of Scientific Computing, University of Pune, India;Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

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Optimization of a pumping ship trajectory to clean oil contamination in the open sea

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Abstract

The objective of this article is to discuss the modelling and simulation of the motion of oil spots in the open sea, and the effect on the pollutant concentration when a polluted water pumping ship follows a pre-assigned trajectory to remove the pollutant. We assume here that the oil spots motion is due to the coupling of diffusion, the transport from the wind, sea currents and pumping process and the reaction due to the extraction of oil, implying that the mathematical model will be of advection-reaction-diffusion type. Our discussion includes the description of a parallelization of the selected numerical procedure. We present some results of numerical experiments showing that indeed the parallelization makes the model evaluation more efficient.