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Journal Articles Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Year : 2009

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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Dates and versions

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

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Attribution - NonCommercial - ShareAlike

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Denys Dutykh, Frédéric Dias. Energy of tsunami waves generated by bottom motion. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465 (2103), pp.725-744. ⟨10.1098/rspa.2008.0332⟩. ⟨hal-00311752v2⟩
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