Combined Effect of Moving and Open Boundary Conditions in the Simulation of Inland Inundation Due to Far Field Tsunami
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
Combined Effect of Moving and Open Boundary Conditions in the Simulation of Inland Inundation Due to Far Field Tsunami

Authors: M. Ashaque Meah, Md. Fazlul Karim, M. Shah Noor, Nazmun Nahar Papri, M. Khalid Hossen, M. Ismoen

Abstract:

Tsunami and inundation modelling due to far field tsunami propagation in a limited area is a very challenging numerical task because it involves many aspects such as the formation of various types of waves and the irregularities of coastal boundaries. To compute the effect of far field tsunami and extent of inland inundation due to far field tsunami along the coastal belts of west coast of Malaysia and Southern Thailand, a formulated boundary condition and a moving boundary condition are simultaneously used. In this study, a boundary fitted curvilinear grid system is used in order to incorporate the coastal and island boundaries accurately as the boundaries of the model domain are curvilinear in nature and the bending is high. The tsunami response of the event 26 December 2004 along the west open boundary of the model domain is computed to simulate the effect of far field tsunami. Based on the data of the tsunami source at the west open boundary of the model domain, a boundary condition is formulated and applied to simulate the tsunami response along the coastal and island boundaries. During the simulation process, a moving boundary condition is initiated instead of fixed vertical seaside wall. The extent of inland inundation and tsunami propagation pattern are computed. Some comparisons are carried out to test the validation of the simultaneous use of the two boundary conditions. All simulations show excellent agreement with the data of observation.

Keywords: Open boundary condition, moving boundary condition, boundary-fitted curvilinear grids, far field tsunami, Shallow Water Equations, tsunami source, Indonesian tsunami of 2004.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1339025

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2060

References:


[1] Yoon, S. B., “Propagation of tsunamis over slowly varying topography”, Journal of Geophysical Research, 107 (C10), 4(1) – 4(11), 2002.
[2] 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.
[3] 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, vol 3, Issue 1, 1-8, 2009(a).
[4] 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, vol 3 (1),8-14, 2009(b).
[5] Roy, G. D., Karim, M. F. & 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. Appl. Math., 25(1), 57-71, 2006.
[6] Kowalik, Z., Knight, W. and Whitmore, P. M.,” Numerical Modeling of the Tsunami: Indonesian Tsunami of 26 December 2004”, Journal of Science of Tsunami Hazards, 23(1), 40 – 56, 2005.
[7] Karim, M. F., Esa, A. I., “A Boundary Fitted Nested Grid Model for Modelling Tsunami Propagation of 2004 Indonesian Tsunami along Southern Thailand”, International Journal of Environmental, Chemical, Ecological and Geophysical Engineering, vol 9(8) 891 – 898, 2015.
[8] Karim, M. F., Roy, G. D., and Ismail, A. I. M., “A Study of Open Boundary Conditions for Far Field Tsunami Computation”, WSEAS Transactions on Environment and Development, vol 4 (4), 334–349, 2008.
[9] Cho, Y.S. and Kim, J.M., “Moving Boundary Treatment in Run-up process of Tsunami”, Journal of Coastal Research, SI 56, Proceedings of the 10th International Coastal Symposium, Lisbon, Portugal, 482-486, 2009.
[10] Inan, A., and Balas, L. A., “Moving Boundary Wave Run-Up Model” In Y. Shi, Albada, G.D.v., Dongarra, J., & Sloot, P.M.A. (Ed.), Berlin Heidelberg: Springer, Computational Science – ICCS, 38-45, 2007.
[11] Roy, G.D., Karim, M.F., and Ismail, A.I.M., “A 1-D Shallow Water Model for Computing Inland Inundation due to Long Waves Using a Moving Boundary”, Far East Journal of Applied Mathematics 28(3), 395, 395-408, 2007.
[12] Karim, M.F., Meah, M.A. and Ismail, A.I.M., “A Shallow Water Model for Computing Inland Inundation due to Indonesian Tsunami 2004 using a Moving Coastal Boundary”, World Academy of Science, Engineering and Technology, vol 72, 1777 – 1782, 2012.
[13] Meah, M.A., Ismail, A.I.M., Karim, M.F., and Islam, M.S., “Simulation of the Effect of Far Field Tsunami Through an Open Boundary Condition in a Boundary-Fitted Curvilinear Grid System” Journal of Science of Tsunami Hazards. Vol. 31(1), 1 – 18, 2012.
[14] 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”, Science of Tsunami Hazards, 26 (1), 21 – 41, 2007.
[15] Okada, Y., “Surface Deformation due to Shear and Tensile Faults in a Half Space”, Bull, Seism. Soc. Am., 75, 1135 – 1154, 1985.
[16] Arreaga-Vargas, P., Ortiz, M., and Farreras, S.F., “Mapping the Possible Tsunami Hazard as the First Step Towards a Tsunami Resistant Community in Esmeraldas, Ecuador”, In K. Satake (Ed.), Tsunamis: Case Studies and Recent Developments, Netherlands: Springer, 203 – 215, 2005.
[17] Ammon, C. J., Ji, C., Thio, H.-K.., Robinson, D., Ni, S., Hjorleifsdottir, V., Kanamori, H., Lay, T., Das, S., Helmberger, D., Ichinose, G., Polet, J., and Wald, D., “Rupture Process of the 2004 Sumatra-Andaman Earthquake”, Science, 308, 1133 – 1139, 2005.
[18] Tanioka, Y., Yudhicara, Kususose, T., Kathiroli, S., Nishimura, Y., Iwasaki, S., and Satake, K.., “Rapture process of 2004 great Sumatra- Andaman earthquake estimated from tsunami waveforms, Earth Planets Space, 58, 203 – 209, 2006.
[19] Papadopoulos, G. A., Caputo, R., McAdoo, B., Pavlides, S., Karastathis, V., Fokaefs, A., Orfanogiannaki, K. and Valkaniotis, S., “The large tsunami of 26 December 2004: Field observations and eyewitnesses accounts from Sri Lanka”, Maldives Is. and Thailand, Earth Planets Space, 58, 233 – 241, 2006.