STOKES 5th Order Wave Theory Implementation - CAESAR II - Help

CAESAR II Users Guide

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CAESAR II
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CAESAR II Version
13

The Stokes Wave is a 5th order gravity non-linear wave. CAESAR II uses the solution technique described in a paper published in 1960 by Skjelbreia and Hendrickson of the National Engineering Science Company. The standard formulation as well as a modified formulation, to the free surface, is available in CAESAR II Stokes 5th Order Wave Theory.

The solution follows a procedure very similar to that used in the Airy Wave Theory Implementation. You can determine the characteristic parameters of the wave by using Newton-Raphston iteration, after finding the water particle values of interest.

The Newton-Raphston iteration procedure solves two non-linear equations for constants beta and lambda. After you determine these values, you can compute the other constants. After computing all of the constants, use CAESAR II to compute: the horizontal and vertical particle velocities (UX and UY), the horizontal and vertical particle acceleration (AX and AY), and the surface elevation above the mean water level (ETA).