Nonlinear Deformation and Bispectral Change of Random Gravity Waves on Sloping Bed

by Ken-ichiro Hamanaka, Hokkaido Univ, Dep of Civil, Engineering, Sapporo, Japan,

Document Type: Proceeding Paper

Part of: Coastal Zone '85


A WKB-perturbation method is applied to the deformation of random gravity waves in water of slowly varying depth. In the present analysis, a spectral representation of WKB-type is assumed in a statistically stationary wave field. Power spectra and bispectra of the surface displacement are obtained on the assumption of quasi-Gaussian processes. From this analysis, it is found that the imaginary part of bispectra is associated with the nonlinear deformation of waves.

Subject Headings: Gravity waves | Nonlinear waves | Soil deformation | Random waves | Slopes | Water waves | Wave shoaling | Wave spectrum

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