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Publications
Mohapatra, S.C. and Guedes Soares, C. (2025), Wave-current interaction with a deformable bottom in a three-dimensional channel, Physics of Fluids, Vol. 37(5), 057109.
A hydroelastic wave-current interaction model with a deformable bottom is developed to study the effect of following current on the surface and deformable bottom based on the linearised theory of water waves in a three-dimensional channel. The deformable bottom is modelled as an elastic thin plate theory and Green’s function of the interaction between wave-current and the deformable bottom is derived using the fundamental source potentials. The progressive wave behaviour of the slow-mode is analysed through a comparison of the current bottom deflection results with previously published linear and nonlinear analytical results from other calculations. The generalized expansion formula in the presence of current velocity has been derived based on the Fourier sine and cosine series and the associated orthogonal mode-coupling relations for finite and semi-infinite channels of finite depth. The obtained expansion formula is applied to two classical boundary value problems: (a) forced motion and (b) wave reflection by an impermeable wall with limited width and length, which will play a significant role in the analysis of wave-current interaction with a deformable bottom arising in ocean engineering problems. In addition, free oscillations in the presence of current are derived, and the effect of current velocity over several numerical results in fast and slow modes is compared.
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