Water wave scattering by impermeable and perforated plates

Abstract

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Water wave interaction with an array of submerged circular plates: Hankel transform approach

“…Similar results were also reported for a single submerged elastic perforated circular plate [12]. The maximum wave power dissipation can be achieved by the side by side arrangement (R 1,2 /h > 4) with incident waves propagating roughly perpendicular to the numerical results [33]; symbols: present semi-analytical results. deployment line of the two plates (0.2π < β < 0.7π).…”

“…Figure 5 presents the frequency response of the wave excitation forces acting on a pair of submerged rigid and impermeable circular plates in a staggered arrangement. The present semianalytical results are found to agree well with the numerical ones [33], which are predicted by solving a hypersingular integral equation.…”

“…Results are tested against the numerical results [33] for wave scattering by a pair of rigid impermeable circular plates, and good agreement is reached as expected. Results are also compared to the eigenfunction matching method-based semi-analytical solution of a single/a pair of elastic perforated circular plates based on the work of Zheng et al [12], again showing excellent agreement.…”

“…In order to evaluate the unknown coefficients α (n) m,q , we truncate all infinite series of q at L, i.e., (L + 1) terms (q = 0, 1, • • • , L), and we take (2M + 1) angular terms (33), N(2M + 1)(L + 1) equations are obtained, which can be used to determine the exact same number of unknown coefficients.…”

Analytical solutions of hydroelastic interactions between waves and submerged open-net fish cage modeled as a porous cylindrical thin shell

“…Later, Sankarbabu et al (2007) and Park et al (2010) studied wave interference among an array of rigid porous cylinders, where several local cylindrical coordinates were established for each cylinder, and the total diffracted potential was regarded as a superposition of the diffracted potential generated by each cylinder through Graf's addition theorem. Furthermore, Liang et al (2021) constructed a hypersingular integral equation to simulate the interaction between water waves and horizontal thin plates. Recently, some optimized numerical methods have also received attention in the field of wave-structure interaction.…”