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Investigation of propagation of three-dimensional, harmonic waves of small amplitude through water of constant depth or gradually varying depth; within framework of linear theory for potential flow, results are exact for propagation over horizontal bottoms, and approximate for propagation over sloping bottoms; expression is given for velocity potential of three-dimensional waves, harmonic in time; analysis of resulting relationships shows that magnitudes of phase speed and energy flux are affected by amplitude variations; time-averaged energy flux is directed along wave rays, regardless of amplitude gradients along wave crests. (02349)
Investigation of propagation of three-dimensional, harmonic waves of small amplitude through water of constant depth or gradually varying depth; within framework of linear theory for potential flow, results are exact for propagation over horizontal bottoms, and approximate for propagation over sloping bottoms; expression is given for velocity potential of three-dimensional waves, harmonic in time; analysis of resulting relationships shows that magnitudes of phase speed and energy flux are affected by amplitude variations; time-averaged energy flux is directed along wave rays, regardless of amplitude gradients along wave crests. (02349)
Refraction of water waves
ASCE J Waterways Harbors Div
Battjes, J.A. (author)
1968
15 pages
Article (Journal)
English
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