Abstract
This paper details the spectral analysis of the waves generated from an experimental study of the water surface elevation around a ship model in a towing tank. The wave pattern is measured with accurate optical methods in deep-water conditions for various Froude numbers. These optical methods allow the entire wave field around the model with a high spatial resolution to be obtained. The quality of the measured surface elevation around the ship model enables us to perform a spectral analysis of the waves generated by a ship. To validate this approach, the experimental spectrum is compared to the fundamental theoretical dispersion relation of the waves generated by a moving perturbation in calm deep water. In a second step, a fundamental decomposition of the wave system is achieved, from which the contribution of the near field, the local flow disturbance, and the contribution of the far field that corresponds to the Kelvin wake system are computed. In addition, the experimental extraction of the dispersion relation provides an estimate of the angle of the cone of the Kelvin wake in the spectral space.
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