Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadatas

Cited literature [32 references]  Display  Hide  Download
Contributor : Denys Dutykh <>
Submitted on : Wednesday, October 22, 2008 - 8:03:43 PM
Last modification on : Thursday, July 2, 2020 - 5:17:18 PM
Long-term archiving on: : Tuesday, September 21, 2010 - 5:36:41 PM


Files produced by the author(s)


Distributed under a Creative Commons Attribution - NonCommercial - ShareAlike 4.0 International License




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



Record views


Files downloads