Abstract
Following previous works concerning the development of 3D BEM applied to estimate the parameters modelling the energy extraction of heaving WECs and the hydrodynamic responses and performance, in this work a simplified model based on the Modified Mild-Slope Equation (MMSE) with inclusions is presented for approximating the scattering of waves from multiple point absorbers arranged in an array over general bottom topography. Based on an analytical solution for the wave scattering/dissipation problem by circular inclusions the absorbing coefficient of the MMSE in the vicinity of the WECs on the horizontal domain is tuned using 3D BEM data, and subsequently is used for approximating multiple scattering effects by the array. The calibration is performed by correlating the energy losses due to the artificial absorption with the power output of floating heaving bodies of general shape in local constant depth, using 3D BEM hydrodynamics and taking into account the WEC Power Take Off (PTO) effect by means of an additional damping coefficient in the system dynamics. Selected numerical examples are presented illustrating the method. The present simplified model provides a low-cost first estimation of the wave conditions in the domain, which could be exploited as a supporting tool for optimal arrangement and park design purposes.
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