Fifth Order Stokes Wave Profiles

by Curtis C. Ebbesmeyer, Manager, Western Region; Evans-Hamilton, Inc., Seattle, WA,

Serial Information: Journal of the Waterways, Harbors and Coastal Engineering Division, 1974, Vol. 100, Issue 3, Pg. 264-265

Document Type: Journal Paper


Fifth-order Stokes wave theory is often used to predict particle velocities and accelerations for substitution in wave force equations. As with all wave theories, validity must be checked in shallow water for the particular application and wave parameters: height H, period T, and water depth d. However, it is not clear that a single test of validity is reasonable for diverse engineering applications. In this note, a monotonic wave profile is one that continually decreases with increasing distance from the crest. Figures are presented showing characteristic wave profiles.

Subject Headings: Wave equations | Wave velocity | Particle velocity | Wave forces | Shallow water | Wave height | Parameters (statistics) | Velocity profile

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