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Influence of impermeable elevated bottom on the wave scattering due to multiple submerged porous structure
Author(s): Valliboina Venkateswarlu, Debabrata Karmakar
Keywords: Multiple porous structures; energy damping; impermeable elevated bottom; eigenfunction expansion method; wave transformation.
The significance of multiple porous structures with finite spacing upon elevated seabed in the presence and absence of the leeside wall is examined under oblique wave impinging. Fluid propagation is assumed over impermeable elevated bottom and the fluid realm is separated into open water and porous structure regions. Continuity of the dynamic pressure and mass fluxes is adopted at the interfaces of the porous structure and the open water region. The resistance and reactance due to the presence of the porous structure is taken into account using the porous structure dispersion relation. Numerical model is developed based on eigenfunction expansion method along with matched velocity potentials at the interfaces of open water and the porous block regions. The wave reflection and transmission characteristics, energy damping and wave force on leeside wall is analysed. The significance of the porosity, structural width, angle of incidence, width between the two structures and water chamber length is studied considering multiple porous blocks with finite spacing under oblique wave impinging in the presence and absence of leeside wall. The numerical results obtained in the present study agree well with the theoretical and experimental results available in the literature. The present study illustrates that, with the increase in the number of structures and gap between the structures, the resonating trend in the wave transformation is observed and the influence of the elevated step height in the wave trapping is revealed.