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A Boundary Fitted Nested Grid Model for Tsunami Computation along Penang Island in Peninsular Malaysia

Authors: Md. Fazlul Karim, Mohammed Ashaque Meah, Ahmad Izani Ismail


This paper focuses on the development of a 2-D boundary fitted and nested grid (BFNG) model to compute the tsunami propagation of Indonesian tsunami 2004 along the coastal region of Penang in Peninsular Malaysia.

In the presence of a curvilinear coastline, boundary fitted grids are suitable to represent the model boundaries accurately. On the other hand, when large gradient of velocity within a confined area is expected, the use of a nested grid system is appropriate to improve the numerical accuracy with the least grid numbers.

This paper constructs a shallow water nested and orthogonal boundary fitted grid model and presents computational results of the tsunami impact on the Penang coast due to the Indonesian tsunami of 2004. The results of the numerical simulations are compared with available data.

Keywords: Tsunami, boundary fitted nested model, Penang Island

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[1] Ammon, J.C., Ji, C., Thio, H., Robinson, D., Ni, S., Hjorleifsdottir, V., Kanamori, H., Lay, T., Das, S., Helmberger, D., Ichionose, G., Polet, J. and Wald, D., " Rupture Process of the 2004 Sumatra-Andaman Earthquake” Science 308, 1133-1139, 2005.
[2] Chan, C. T., Cheong, H. F., and Shankar, N. J., "A boundary-fitted grid model for tidal motions: Orthogonal coordinates generation in 2-D embodying Singapore coastal waters”, Journal of Computers Fluids, 23 (7), 881-893, 1994.
[3] Dao, M. H., and Tkalich, P., "Tsunami propagation modeling-a sensitivity study”, Natural hazards and earth system sciences, 7, 741 – 754, 2007.
[4] Iguchi, T., "A mathematical analysis of tsunami generation in shallow water due to sea bed deformation”, Proceedings of the Royal Society of Edinburgh, 141A, 551-608, 2011.
[5] Imamura, F., and Gica, E. C., "Numerical Model for Tsunami Generation due to Subaqueous Landslide Along a Coast –A case study of the 1992 Flores tsunami, Indonesia”, Sc. Tsunami Hazards, 14(1),13 – 28, 1996.
[6] Ishii, M., Shearer, P. M., Houston, H., and Vidale, J.H., "Extent, duration and speed of the 2004 Sumatra-Andaman earthquake imaged by the Hi-Net array” Nature 435(7044), 933-936, 2005.
[7] Johns, B., Rao, A. D., Dube, S. K., and Sinha, P. C., " Numerical modelling of tide-surge interaction in the Bay of Bengal”, Phil. Trans. Roy. Soc. London A 313, 507 – 535, 1985.
[8] Karim, M. F., Roy, G. D., Ismail, A. I. M., and Meah, M. A., " A linear Cartesian coordinate shallow water model for tsunami computation along the west coast of Thailand and Malaysia” Int. J. of Ecology & Development” 4(S06): 1 – 14, 2006.
[9] Karim, M. F., Roy, G. D., Ismail, A. I. M., and Meah, M. A., " A shallow water model for computing tsunami along the west coast of Peninsular Malaysia and Thailand using boundary-fitted curvilinear grids” Journal of Science of Tsunami Hazards, 26 (1), 21 – 41, 2007a.
[10] Karim, M. F., Roy, G. D., and Ismail, A. I. M., "An Investigation on the Effect of Different Orientation of a Tsunami Source along the Coastal Belt of Penang Island: A Case Study of the Indonesian Tsunami 2004” Far East J. of Ocean Research, 1 (1), 2007, 33-47, 2007b.
[11] Karim, M. F., Roy, G. D., Ismail, A. I. M.; and Meah, M.A., "Numerical Simulation of Indonesian Tsunami 2004 along Southern Thailand: A Nested Grid Model”, International Journal of Mathematical, Physical and Engineering Sciences, volume 3 (1), 8-14, 2009a.
[12] Karim, M. F., Ismail, A. I. M.; and Meah, M.A., "Numerical Simulation of Indonesian Tsunami 2004 at Penang Island in Peninsular Malaysia using a Nested Grid Model, International Journal of Mathematical Models and Methods in Applied Sciences, Issue 1, volume 3, 1-8, 2009b”.
[13] Kowalik, Z., Knight, W., and Whitmore, P. M., "Numerical Modeling of the Global Tsunami: Indonesian Tsunami of 26 December 2004” J. of Sc. Tsunami Hazards. 23(1), 40 – 56, 2005.
[14] Lay, T., Kanamori, H., Ammon, J. C., Nettles, M., Steven., N. W., Aster, R., Susan, L. B., Michael, R., B., and Butler, B., " The great Sumatra-Andaman Earthquake of 26 December 2004” Science 308, 1127-1133, 2005.
[15] Ni, S., Kanamori, H., and Helmberger, D., "Energy radiation from the Sumatra Earthquake” Nature 434(7033), 582-582, 2005.
[16] Roy, G. D., and Ismail, A. I. M., "An investigation on the propagation of 26 December 2004 tsunami waves towards the west coast of Malaysia and Thailand using a Cartesian coordinates shallow water model” Proceedings of international conference in Mathematics and Applications, Mahidol University, Thailand 389-410, 2005.
[17] Roy, G. D., Karim, M. F., and Ismail, A. M., " Numerical Computation of Some Aspects of 26 December 2004 Tsunami along the West Coast of Thailand and Peninsular Malaysia Using a Cartesian Coordinate Shallow Water Model”, Far East J. of Applied Mathematics, 25(1), 57-71, 2006.
[18] Roy, G. D., Karim, M. F., and Ismail, A. M., "A Non-Linear Polar Coordinate Shallow Water Model for Tsunami Computation along North Sumatra and Penang Island” Continental Shelf Research, 27, 245–257, 2007.
[19] Titov, V. V., and Gonzalez, F. I., "Implementation and Testing of the Method of Splitting Tsunami (MOST) Model” NOAA Technical Memorandum ERL, PMEL – 112, Contribution No. 1927 from NOAA/Pacific Marine Environmental Laboratory, pp 11, 1997.