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A unified two-parameter wave spectral model for a general sea state

Published online by Cambridge University Press:  20 April 2006

Norden E. Huang ,
Steven R. Long ,
Chi-Chao Tung ,
Yeli Yuen  and
Larry F. Bliven
Norden E. Huang
Affiliation:
NASA Wallops Flight Center, Wallops Island, VA 23337
Steven R. Long
Affiliation:
NASA Wallops Flight Center, Wallops Island, VA 23337
Chi-Chao Tung
Affiliation:
North Carolina State University, Raleigh, NC 27650
Yeli Yuen
Affiliation:
North Carolina State University, Raleigh, NC 27650
Larry F. Bliven
Affiliation:
Oceanic Hydrodynamics, Inc., Salisbury, MD 21801
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Abstract

Based on theoretical analysis and laboratory data, we proposed a unified two-parameter wave spectral model as $\phi(n) = \frac{\beta g^2}{n^m n_0^{5-m}} {\rm exp} \left\{-\frac{m}{4}\left(\frac{n_0}{n}\right)^4\right\}$ with β and m as functions of the internal parameter, the significant slope η of the wave field which is defined as $\sect = \frac{(\overline{\zeta^2})^{\frac{}1{2}}}{\lambda_0},$ where $\overline{\zeta^2}$ is the mean squared surface elevation, and λ0, n0 are the wavelength and frequency of the waves at the spectral peak. This spectral model is independent of local wind. Because the spectral model depends only on internal parameters, it contains information about fluid-dynamical processes. For example, it maintains a variable bandwidth as a function of the significant slope which measures the nonlinearity of the wave field. And it also contains the exact total energy of the true spectrum. Comparisons of this spectral model with the JONSWAP model and field data show excellent agreements. Thus we established an alternative approach for spectral models. Future research efforts should concentrate on relating the internal parameters to the external environmental variables.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 112 , November 1981 , pp. 203 - 224
Copyright
© 1981 Cambridge University Press

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