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Pré-Publication, Document De Travail Année : 2008

Tsunami wave energy

Résumé

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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Dates et versions

hal-00311752 , version 1 (20-08-2008)
hal-00311752 , version 2 (22-10-2008)

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Denys Dutykh, Frédéric Dias. Tsunami wave energy. 2008. ⟨hal-00311752v1⟩
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