Applicability of Dean'S Stream Function Method to Estimation of Wave Orbital Velocity and Wave Set-Down and Set-Up

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Abstract
The applicability of Dean's stream function method to estimate the orbital wave velocities has been tested for the linear and nonlinear (infinitesimal and finite amplitude waves on a uniform depth channel and the nonlinear waves on breaking zone of a sloping bottom. It is shown the agreements between the measured and computed wave velocities are fair but become comparatively well if a suitable uniform horizontal velocity component is assumed. The method is shown to be very effective to estimate the radiation stress distribution and thus the wave set-down and set-up near the shoreline.

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