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.
Domains
Fluid mechanics [physics.class-ph] Fluids mechanics [physics.class-ph] Atmospheric and Oceanic Physics [physics.ao-ph] Geophysics [physics.geo-ph] Geophysics [physics.geo-ph] Analysis of PDEs [math.AP] Ocean, Atmosphere Exactly Solvable and Integrable Systems [nlin.SI] Pattern Formation and Solitons [nlin.PS] Computational Physics [physics.comp-ph]
Origin : Files produced by the author(s)
Loading...