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In this study, hydrodynamic analysis of an oscillating water column (OWC) array in the presence of the variable bathymetry (seafloor depth) is performed by using a semi-analytical potential-flow solver. Within the framework of linear theory, the boundary-value problem associated with wave diffraction and radiation by an OWC array with variable bathymetry is formulated and the semi-analytical hydrodynamic model is developed using the matched eigenfunction expansion method. The fluid domain above variable bathymetry is mathematically discretized into multiple subdomains using the boundary approximation method. The Haskind relation and the energy flux conservation law are used to verify the semi-analytical model. The hydrodynamic performance of the OWC array in the presence of the ripple and coral reef bathymetries are investigated in further. Pronounced oscillations are observed for the curve of reflection coefficient Cr and hydrodynamic efficiency η for cases with ripple and coral reef bathymetries. Bragg resonance is identified as the triggering of the strong oscillations in Cr and η for case of ripple bathymetry. The primary frequency of Bragg resonance and the peaked value of Cr converge as the ripple number increases (i.e., Ns > 3). Particularly, for cases with coral reef bathymetry, the wave resonance modal in open-ended basins results in a significant wave amplification at the weather side of the OWC array.
In this study, hydrodynamic analysis of an oscillating water column (OWC) array in the presence of the variable bathymetry (seafloor depth) is performed by using a semi-analytical potential-flow solver. Within the framework of linear theory, the boundary-value problem associated with wave diffraction and radiation by an OWC array with variable bathymetry is formulated and the semi-analytical hydrodynamic model is developed using the matched eigenfunction expansion method. The fluid domain above variable bathymetry is mathematically discretized into multiple subdomains using the boundary approximation method. The Haskind relation and the energy flux conservation law are used to verify the semi-analytical model. The hydrodynamic performance of the OWC array in the presence of the ripple and coral reef bathymetries are investigated in further. Pronounced oscillations are observed for the curve of reflection coefficient Cr and hydrodynamic efficiency η for cases with ripple and coral reef bathymetries. Bragg resonance is identified as the triggering of the strong oscillations in Cr and η for case of ripple bathymetry. The primary frequency of Bragg resonance and the peaked value of Cr converge as the ripple number increases (i.e., Ns > 3). Particularly, for cases with coral reef bathymetry, the wave resonance modal in open-ended basins results in a significant wave amplification at the weather side of the OWC array.
This study proposed an array of bottom-standing breakwaters (BSBs) in the presence of an oscillating water column (OWC) for a better understanding of physical mechanisms, under the framework of a linearized potential flow theory. The free water regions are provided between the multiple BSBs to utilize the gap resonance for energy extraction by OWC. The multi-domain boundary element method is adopted to conduct the parametric study, and the validation of the proposed model is presented. The effect of BSB physical properties, OWC, and incident wave properties are reported on the variation of OWC efficiency, radiation susceptance, conductance, force on the wall, and wave reflection by BSBs against the relative wave frequency and water depth. A comparative study on the variation of coefficients is presented between three types of BSB and flat seabed. The higher number of BSBs enhances the intensity of harmonics and subharmonics of coefficients and strengthens the harmonic trough of efficiency. The Bragg reflection by multiple BSBs diminishes the efficiency of OWC for particular wavelength, and the Bragg peak is suppressed by adopting the permeable property for BSBs. The enlargement of OWC efficiency toward the higher frequencies is observed with an increase in BSB height, width, and chamber length. This study suggests a pair of BSBs with a chamber length equal to water depth for optimal efficiency. Overall, the seaside inclined lip-wall, moderate chamber length, and double BSBs are recommended to diminish the Bragg peak (nearly 18%) and extract the maximum renewable energy for a wider frequency, from the OWC device against the incident waves.
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