Energy of tsunami waves generated by bottom motion

Details Energy of tsunami waves generated by bottom motion Energy of tsunami waves generated by bottom motion

2008-08-21

arxiv.org/abs/0808.2861v2

Proc. R. Soc. A 465 (2009) 725-744

Physics

Atmospheric and Oceanic Physics

20 pages, 12 figures. Accepted to Proceedings of the Royal Society A. Other authors papers and supporting material can be down

Scientific paper

10.1098/rspa.2008.0332

In the vast literature on tsunami research, few articles have been devoted to energy issues. A theoretical investigation on the energy of waves generated by bottom motion is performed here. We start with the full incompressible Euler equations in the presence of a free surface and derive both dispersive and non-dispersive shallow-water equations with an energy equation. It is shown that dispersive effects only appear at higher order in the energy budget. Then we solve the Cauchy-Poisson problem of tsunami generation for the linearized water wave equations. Exchanges between potential and kinetic energies are clearly revealed.

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