Modelling Swell High Frequency Spectral and Wave Breaking
Abstract
To develop an advanced physical model of the wind-generated spectra of gravity waves on the surface of deep water, paying special attention to universal spectra in the High Frequency region. To check the concept of weak-turbulent Kolmogorov spectra (Zakharov, Filonenko, 1968) by constructing angle dependent analytical models of spectra and comparing them with the results of numerical simulation and laboratory experiments. To develop simplified models for evolution of energy-cascading part of spectra, including incoming swell. To construct a self-consistent theory of wave-breaking, making possible to give a well-justified expression for damping coefficient due to wave breaking. Starting from the first principles (Navier-Stokes equations for water and air) we construct an array of models describing dynamics and kinetics of surface waves. The advanced methods of Hamiltonian formalism and conformal mapping are widely used. The most simplified models are solved numerically. The results are carefully compared with field and laboratory experiments, as well as with the results of a direct numerical solution of the kinetic equation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 30, 1998
- Accession Number
- ADA542233
Entities
People
- Vladimir Zakharov
Organizations
- University of Arizona