Wind Setup

UNDER CONSTRUCTION

Analytical Solution

The analytical solution for wind setup over a constant depth is given by

$\eta ={\sqrt {2{\frac {\rho _{a}C_{d}W^{2}}{\rho g}}(x+C)+h^{2}}}-h$

(1)

where $\eta$ is the water surface elevation, $\rho$ is the water density, $\rho _{a}$ is the air density, $g$ is the gravitational acceleration, $W$ is the wind speed, $h$ is the water depth, and $C$ is a constant of integration.

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Figure 1. Comparison of computed water surface elevation to the analytical solution for an irregular basin with constant depth.

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Test Cases

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