Energy of tsunami waves generated by bottom motion
Abstract
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.
Cite
@article{arxiv.0808.2861,
title = {Energy of tsunami waves generated by bottom motion},
author = {Denys Dutykh and Frédéric Dias},
journal= {arXiv preprint arXiv:0808.2861},
year = {2020}
}
Comments
20 pages, 12 figures. Accepted to Proceedings of the Royal Society A. Other authors papers and supporting material can be downloaded at http://www.lama.univ-savoie.fr/~dutykh