Inertial Energy Dissipation in Shallow-Water Breaking Waves
We present direct numerical simulations of breaking solitary waves in shallow water to quantify the energy dissipation during the active breaking time. We find that this dissipation can be predicted by an inertial model based on Taylor's hypothesis as a function of the local wave height, depth and the beach slope. We obtain a relationship that gives the dissipation rate of a breaking wave on a shallow slope as a function of local breaking parameters. Next, we use empirical relations to relate the local wave parameters to the offshore conditions. This enables the energy dissipation to be predicted in terms of the initial conditions. We obtain good collapse of the numerical data with respect to the theoretical scaling.
W. Mostert and L. Deike, "Inertial Energy Dissipation in Shallow-Water Breaking Waves," Journal of Fluid Mechanics, vol. 890, Cambridge University Press, Mar 2020.
The definitive version is available at https://doi.org/10.1017/jfm.2020.83
Mechanical and Aerospace Engineering
Keywords and Phrases
Air/Sea Interactions; Shallow Water Flows; Wave Breaking
International Standard Serial Number (ISSN)
Article - Journal
© 2020 The Authors, All rights reserved.
11 Mar 2020