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Journal of Applied Mathematics
Volume 2012, Article ID 681585, 15 pages
Research Article

Numerical Simulation of Oil Spill in Ocean

1Department of Civil and Environmental Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 133-791, Republic of Korea
2Department of Civil Engineering, Kyungnam University, 449 Wolyoung-dong, Masan 631-701, Republic of Korea

Received 4 January 2012; Revised 29 March 2012; Accepted 2 April 2012

Academic Editor: Shuyu Sun

Copyright © 2012 Yong-Sik Cho et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The spreading of oil in an open ocean may cause serious damage to a marine environmental system. Thus, an accurate prediction of oil spill is very important to minimize coastal damage due to unexpected oil spill accident. The movement of oil may be represented with a numerical model that solves an advection-diffusion-reaction equation with a proper numerical scheme. In this study, the spilled oil dispersion model has been established in consideration of tide and tidal currents simultaneously. The velocity components in the advection-diffusion-reaction equation are obtained from the shallow-water equations. The accuracy of the model is verified by applying it to a simple but significant problem. The results produced by the model agree with corresponding analytical solutions and field-observed data. The model is then applied to predict the spreading of an oil spill in a real coastal environment.