Mohapatra, S.C., Islam, H. and Guedes Soares, C. (2019), “Wave diffraction by a floating fixed truncated vertical cylinder based on Boussinesq equations”, Advances in Renewable Energies Offshore, Guedes Soares, C., (Ed.), Taylor & Francis, London, UK, pp. 281-289

Mathematical modelling of wave diffraction by a floating fixed truncated vertical cylinder is formulated based on Boussinesq-type equations in the application range of weakly dispersive Boussinesq model. The nonlinear Boussinesq equations with depth parameters, which indicate the specific elevations in exterior region are obtained based on an expansion of velocity potentials as a power series in the dispersive effect. Using Bessel functions in the velocity potentials, the mathematical problem is handled for second-order wave amplitudes using perturbation technique and structural boundary conditions. To check the fidelity of the analytical model, the initial results of second-order super-harmonic wave amplitude around the vertical cylinder are compared with CFD simulations and CFD results are compared against experimental fluid data (EFD) for normalized wave height. For CFD simulations, the open source CFD toolkit, OpenFOAM, is used. The initial comparison shows a good level of agreement among analytical, CFD and EFD models.

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