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.
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Soumis le : mercredi 22 octobre 2008 - 20:03:43
Dernière modification le : jeudi 9 février 2017 - 15:29:13
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Denys Dutykh, Frédéric Dias. Energy of tsunami waves generated by bottom motion. Proc. R. Soc. A, 2009, 465, pp.725-744. 〈10.1098/rspa.2008.0332〉. 〈hal-00311752v2〉

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