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Analytical and numerical study of nonlinear effects at tsunami modeling

Chih-Chun Huang 

Abstract

The tsunami occurred in the Indian Ocean on 26th December 2004.Wecan pay attentionto this natural phenomenon and be possible to use the analytical methods. The nonlinear effects will start to work when the tsunami waves propagate into the offshore zone and the wave amplitudes are greater than 10th of the water depth. So, the nonlinear effects most be important on the tsunami simulation. The numerical simulation of the tsunami waves in the JavaSea because tsunami is a often phenomenon there. This paper will demonstrate the role of nonlinear effects in the computed dynamics of thetsunami waves in shallow seas and the applicability of the rigorous and approximatedsolutions of the nonlinear theory of water waves to explain the results of thenumericalsimulation by talking about these sections: Nonlinear effects at the wave separation in the source ,The approximated solutions for nonlinear wave propagation ,Effects of friction on the bottom.

Reference

Zahibo, N., Pelinovsky, E., Talipova, T., Kozelkov, A., Kurkin, A., Analytical and numerical study of nonlinear effects at tsunami modeling, Applied Mathematics and Computation 174 (2006) 795¡V809

(Abstract) (Full text)

Satake, K., 2002: Tsunamis. In: W. H. K. Lee, H. Kanamori, P. C. Jennings, and C. Kisslinger ¡]editor¡^,International handbook of earthquake and engineering seismology, 81A, Academic Press, 437-451.

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Yong-Sik Cho, Koo-Yong Park, Tae-Hoon Lin, Run-up heights of nearshore tsunamis basedon quadtree grid system, Ocean Engineering 31 (2004) 1093¡V1109

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Ari Ben-Menahem, Sarva Jit Singh, Seismic waves and sources P.776-790

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Course: Seminar II (for second-year MSc students)