`Journal of Applied MathematicsVolume 2012, Article ID 681585, 15 pageshttp://dx.doi.org/10.1155/2012/681585`
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

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.

1. B. Lin and R. A. Falconer, “Tidal flow and transport modeling using ultimate quickest scheme,” Journal of Hydraulic Engineering, vol. 123, no. 4, pp. 303–314, 1997.
2. D. Mackay, S. Paterson, and K. Trudel, “A mathematical model of oil spill behavior,” Environmental Protection Service, Fisheries and Environment Canada.
3. J. C. Huang, “A review of the state-of-the-art of oil spill fate/behavior models,” in Proceedings of the Oil Spill Conference, pp. 313–322, Washington, 1983.
4. M. L. Spaulding, “Oil spill trajectory and fate modeling: state-of-the art review,” in Proceedings of the 2nd International Oil Spill Research and Development Forum,, London, UK, 1995.
5. H. T. Shen and P. Yapa, “Oil slick transport in rivers,” Journal of Hydraulic Engineering, vol. 114, no. 5, pp. 529–543, 1988.
6. H. T. Shen, P. D. Yapa, and M. E. Petroski, “Simulation of oil slick transport in Great Lakes connecting channels,” Report Nos. 86-1 to 4, vols. I-IV, Department of Civil and Environmental Engineering, Clarkson University, Potsdam, NY, USA, 1986.
7. P. D. Yapa, H. T. Shen, and K. S. Angammana, “Modeling oil spills in a river-lake system,” Journal of Marine Systems, vol. 4, no. 6, pp. 453–471, 1994.
8. S. A. Lonin, “Lagrangian model for oil spill diffusion at Sea,” Spill Science and Technology Bulletin, vol. 5, no. 5-6, pp. 331–336, 1999.
9. X. Chao, N. J. Shankar, and H. F. Cheong, “Two- and three-dimensional oil spill model for coastal waters,” Ocean Engineering, vol. 28, no. 12, pp. 1557–1573, 2001.
10. S. D. Wang, Y. M. Shen, and Y. H. Zheng, “Two-dimensional numerical simulation for transport and fate of oil spills in seas,” Ocean Engineering, vol. 32, no. 13, pp. 1556–1571, 2005.
11. S. D. Wang, Y. M. Shen, Y. K. Guo, and J. Tang, “Three-dimensional numerical simulation for transport of oil spills in seas,” Ocean Engineering, vol. 35, no. 5-6, pp. 503–510, 2008.
12. M. Reed, E. Gundlach, and T. Kana, “A coastal zone oil spill model: development and sensitivity studies,” Oil and Chemical Pollution, vol. 5, no. 6, pp. 411–449, 1989.
13. J. A. Galt, G. Y. Watabayashi, D. L. Payton, and J. C. Petersen, “Trajectory analysis for the Exxon Valdez: Hindcast study,” in International Oil Spill Conference (IOSC '91), pp. 629–634, Washington, DC, USA, 1991.
14. E. Howlett, K. Jayko, and M. L. Spaulding, “Interfacing real-time information with OILMAP,” in Proceedings of the 16th Arctic and Marine Oil Spill Program Technical Seminar, pp. 517–527, 1993.
15. V. S. Kolluru, M. L. Spaulding, and E. L. Anderson, “A three-dimensional oil dispersion model using a particle based approach,” in Proceedings of the 17th Arctic and Marine Oil Spill Program Technical Seminar, pp. 867–894, 1994.
16. Y. S. Cho and P. L. F. Liu, “Crest-length effects in nearshore tsunami run-up around islands,” Journal of Geophysical Research C, vol. 104, no. 4, pp. 7907–7913, 1999.
17. Y. S. Cho and H. J. Kim, “Sea level change due to typhoons in Korean peninsula,” Journal of Coastal Research, vol. 22, no. 3, pp. 678–682, 2006.
18. B. H. Choi, H. M. Eum, and S. B. Woo, “Modeling of coupled tide-wave-surge process in the Yellow Sea,” Ocean Engineering, vol. 30, no. 6, pp. 739–759, 2003.
19. P. L. Brezonik, Chemical Kinetics and Process Dynamics in Aquatic Systems, Lewis Publishers, 1994.
20. S. V. Patankar, “Numerical Heat Transfer and Fluid Flow,” Hemisphere Publishing Coporation, 1980.
21. D. L. Stefanovic and H. G. Stefan, “Accurate two-dimensional simulation of advective-diffusive-reactive transport,” Journal of Hydraulic Engineering, vol. 127, no. 9, pp. 728–737, 2001.
22. T. Komatsu, K. Ohgushi, and K. Asai, “Refined numerical scheme for advective transport in diffusion simulation,” Journal of Hydraulic Engineering, vol. 123, no. 1, pp. 41–50, 1997.
23. J. M. Hobson, N. Wood, and P. J. Mason, “A new finite-difference diffusion scheme,” Journal of Computational Physics, vol. 125, no. 1, pp. 16–25, 1996.