Modeling Swell High Frequency Spectral and Wave Breaking
Abstract
Multiple Nonlinear Diffusion Equation In the previous report we proposed Nonlinear Diffusion Equation (NDE) which is diffusion approximation to Hasselmann equation (HE) for gravity waves. NDE is the second-order partial differential equation describing the diffusion of the density of action for gravity waves n(k, 0) where k and 0 are the modulus of wavenumber and polar angle in Fourier space, F(k) is the coefficient responsible for external forcing and viscous damping; a is the constant to be found from the comparison of numerical simulation of NDE with numerical simulation of HE. In the absence of external forcing and viscosity NDE has the same motion integrals as HE - wave action, energy and momentum; it also has similar to HE asymptotic Kolmogorov spectra corresponding to given energy, momentum and wave fluxes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 30, 1999
- Accession Number
- ADA365494
Entities
People
- V. E. Zakharow
Organizations
- University of Arizona