Airy Wave Theory Implementation - CAESAR II - Help

CAESAR II Users Guide (2019 Service Pack 1)

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English
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CAESAR II
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CAESAR II Version
11.0 (2019)

Airy Wave theory is also known as Linear Wave theory due to the assumption that the wave profile is symmetric about the mean water level. Standard Airy Wave theory allows for the computation of the water particle velocities and accelerations between the mean surface elevation and the bottom. The Modified Airy Wave theory allows for the consideration of the actual free surface elevation in the computation of the particle data. CAESAR II includes both the standard and modified forms of the Airy wave theory.

To apply the Airy Wave theory, you must enter several descriptive parameters about the wave. The software uses these parameters along with the Newton-Raphston iteration to determine the wave length. Each wave has its own unique wave length that the software determines solving the dispersion relation, shown below:

L = (gT2 / 2p) * tanh(2pD / L)

Where:

g - is the acceleration of gravity

T - is the wave period

D - is the mean water depth

L - is the wave length to solve for

After determining the wave length (L), you can determine any other wave parameters you want. The parameters determined and used by CAESAR II are: the horizontal and vertical particle velocities (UX and UY), the horizontal and vertical particle acceleration (AX and AY), and the surface elevation above (or below) the mean water level (ETA). For more information on the equations for these parameters, refer to any text which discusses ocean wave theories.