FRF Spectrum: TMA with Kitaigorodskii's Scaling
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 116, Issue 1
Abstract
This paper describes the development of a mathematical function that represents the spectrum of wind‐generated gravity waves in water of arbitrary depth. The derivation parallels that of the TMA spectrum. The primary difference is that Phillips' (1958) model for saturation at high frequencies is replaced by Kitaigorodskii's (1983) model. This spectrum incorporates wind speed directly into the formulation and is consistent with an power law scaling for deep water. In its raw form, the new model requires four internal constraints (gravity, depth, wind speed, and peak frequency) and has four model coefficients. Values for the coefficients are determined for 1,022 observations of wave spectra made at the Corps of Engineers Field Research Facility (FRF) in depths of 19, 8.5, and 6 m. The coefficients are then correlated with dimensionless combinations of the physical parameters associated with the spectrum to see if the number of coefficients can be reduced. If three of the coefficients are held constant at their mean values, a direct relationship to wave steepness is obtained for the fourth coefficient that is related to the peakedness of the spectrum.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 116 • Issue 1 • January 1990
Pages: 57 - 78
Copyright
Copyright © 1990 ASCE.
History
Published online: Jan 1, 1990
Published in print: Jan 1990
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