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An approximate model for nonlinear dispersion in monochromatic wave propagation models
Abstract A method is proposed for smoothly matching an approximate, shallow-water dispersion relation to an analytically obtained relation for intermediate and deep water. The method provides a correct limit for increasing water depth in the case of weakly non-linear waves, and provides a smooth prediction of wave parameters for the entire range of water depth. The model is applied to a parabolic equation form of the combined refraction-diffraction model, and numerical results are presented in comparison to published data.
An approximate model for nonlinear dispersion in monochromatic wave propagation models
Abstract A method is proposed for smoothly matching an approximate, shallow-water dispersion relation to an analytically obtained relation for intermediate and deep water. The method provides a correct limit for increasing water depth in the case of weakly non-linear waves, and provides a smooth prediction of wave parameters for the entire range of water depth. The model is applied to a parabolic equation form of the combined refraction-diffraction model, and numerical results are presented in comparison to published data.
An approximate model for nonlinear dispersion in monochromatic wave propagation models
Kirby, James T. (author) / Dalrymple, Robert A. (author)
Coastal Engineering ; 9 ; 545-561
1985-09-25
17 pages
Article (Journal)
Electronic Resource
English
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