Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://www.revistas.ucr.ac.cr/index.php/matematica/oai
Ttsunami. An interesting mathematical problem
PDF (Español (España))

Keywords

tsunami waves
mathematical methods
simulation
ondas tsunami
métodos matemáticos
simulación

How to Cite

González González, R., Ortiz Figueroa, M., & Montoya Rodríguez, J. M. (2012). Ttsunami. An interesting mathematical problem. Revista De Matemática: Teoría Y Aplicaciones, 19(1), 107–119. https://doi.org/10.15517/rmta.v19i1.2109

Abstract

We present some key aspects regarding the mathematics and the computational tool that support the complex description of the physical process tsunami from two specific approaches. In particular, it addresses analytically a simple hydroelastic model for the problem of tsunami wave generation, which provides results in the rupture area. Moreover, the propagation of tsunami waves in the ocean and the impact along the coastline is analyzed numerically using the hydrodynamic approach, presenting in particular a direct application to the prediction of tsunamis in Mexico caused by potential earthquakes in the Mesoamerican trench through the design of a “Tsunami Toolbox” to simulate tsunamis caused by earthquakes in the subduction zone on the western coast of Mexico.

https://doi.org/10.15517/rmta.v19i1.2109
PDF (Español (España))

References

Ewing, W.; Jardetzky, W. (1957) Elastic Waves in Layered Media. McGraw Hill, New York.

González-González R. (2005) Hydroelastic Model on Tsunami Generation. Ph.D. Thesis, Moscow State University, M.V. Lomonosov, Moscow, Russia.

Goto, C.; Ogawa, Y.; Shuto, N.; Imamura F. (1997) IUGG/IOC TIME Project: Numerical Method of Tsunami Simulation with the Leap-Frog Scheme. Intergovernmental Oceanographic Commission of UNESCO, Manuals and Guides 35, Paris.

Gvozdev A.A.; Sekerzh Zen’kovich S.Ya.; Shingareva I.K. (2000) “Excitation of tsunami by a low-frequency nonstationary center of expansion”. Izvestiya Physics of the Solid Earth, Vol.36, No.1, 12–19.

Kanamori H.; Kikuchi M. (1993) “The 1992 Nicaragua earthquake: a slow tsunami earthquake associated with subducted sediments”. Nature, Vol. 361, 714–716.

Lamb, H. (1997) Hydrodynamics. Cambridge University Press, Cambridge.

Mansinha, L.; Smylie D.E. (1971) “The displacement field of inclined faults”, Bulletin of the Seimological Society of America, 61(5), 1433–1440.

Pedlosky, J. (1979) Geophysical Fluid Dynamics. Springer-Verlag, New York.

Pod”yapol’skiy G.S. (1968) “Excitation of a long gravitational wave in the ocean from a seismic source in the crust”. Izvestiya Akademica Nauka. SSSR Fizika Zemli 1, 7–24.

Zvolinskii N.V.; Nikitin I.S.; Sekerzh Zen’kovich S.Ya. (1991) “Excitation of tsunami waves and Rayleigh waves by a harmonic expansion center”. Izvestiya Earth Physics. Vol.23, No.2, 115–121.

Comments

Downloads

Download data is not yet available.