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Title: Parabolic wave equation for surface water waves
Authors: Cornell University. School of Civil and Environmental Engineering
Lui, Philip L. F.
Keywords: Water waves --Mathematics
Water wave progation
Water wave diffraction
Water wave refraction
Publisher: Coastal Engineering Research Center (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Miscellaneous paper (U.S. Army Engineer Waterways Experiment Station) ; CERC-86-11.
Description: Miscellaneous paper
Abstract: In this report, the mild-slope equation describing the combined refraction and diffraction of small amplitude water waves is re-derived and reviewed. The relationship between the mild-slope equation and the ray theory is presented. The physical justifications for the parabolic approximation are then discussed. Parabolic wave equations in various forms are derived to investigate the effects of energy dissipation, reflection, and nonlinearity.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Miscellaneous Paper

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