CIRCULATION KINEMATICS IN NONLINEAR LABORATORY WAVES
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Keywords

nonlinear waves
laboratory waves
circulation
wave kinematics
circulation kinematics

How to Cite

Kim, T.- in, Hudspeth, R. T., & Sulisz, W. (1986). CIRCULATION KINEMATICS IN NONLINEAR LABORATORY WAVES. Coastal Engineering Proceedings, 1(20), 30. https://doi.org/10.9753/icce.v20.30

Abstract

A weakly nonlinear solution is presented for the two-dimensional wave kinematics forced by a generic wavemaker of variable-draft. The solution is valid for both piston and hinged wavemakers of variable draft that may be double articulated. The second-order propagating waves generated by a planar wave board are composed of two components; viz., a Stokes second-order wave and a second-harmonic wave forced by the wavemaker which travels at a different speed. A previously neglected time-independent solution that is required to satisfy a kinematic boundary condition on the wavemaker as well as a mixed boundary condition on the free surface is included for the first time. A component of the time-independent solution is found to accurately estimate the mean return current (correct to second-order) in a closed wave flume. This mean return current is usually estimated from kinematic considerations by a conservation of mass principle.
https://doi.org/10.9753/icce.v20.30
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