Scattering of water waves by an inclined elastic plate in deep water

Kundu, Souvik; Gayen, R.; Datta, Ranadev

doi:10.1016/j.oceaneng.2018.07.054

Cited by 21 publications

(5 citation statements)

References 32 publications

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“…Chakraborty and Mandal (2014) employed the Green's function to analyze the wave interactions with an elastic plate submerged in infinitely deep waters. Kundu et al (2018) investigated the wave scattering by inclined plates using the hypersingular integral equation approach. Gayathri et al (2020) examined the use of permeable flexible barriers to protect the floating bridge under wave attack.…”

Section: Introductionmentioning

confidence: 99%

Stabilisation of compliant floating platforms with sheet barriers under wave action

Law

2021

Ocean Engineering

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Section: Introductionmentioning

confidence: 99%

Stabilisation of compliant floating platforms with sheet barriers under wave action

Law

2021

Ocean Engineering

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“…Guo et al (2015) adopted the potential flow approach to study the wave forces acting on semi-submerged bridge decks while Fang et al (2018) solved the same problem for the case of oblique wave attack. Other problems related to wave-structure interaction analyzed by means of the velocity potential approach are related to elastic floating plates (Wu et al, 1995), a group of submerged horizontal plates (Wang and Shen, 1999), two layers of horizontal thick plates (Liu et al, 2009), and oblique scattering of gravity waves by moored floating membrane (Karmakar and Soares, 2012;Behera et al, 2018;Kundu et al, 2018). This approach has also been used by Malara and Arena (2013) to investigate the performance of a Wave Energy Converter.…”

Section: Introductionmentioning

confidence: 99%

Wave Loads on a Navigation Lock Sliding Gate: Non-Linear Effects

Cavallaro¹,

Iuppa²,

Musumeci³

et al. 2020

Int. Conf. Coastal. Eng.

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The wave loads on a navigation lock gate provided with an opening in the ballast tank are analyzed using a mathematical model based on the linear wave theory and the numerical integration of the Navier-Stokes Equation. The analysis focuses on the evaluation of the non-linear effect influence on the vertical load on the gate. It is shown that the numerical and analytical models agree on the identification of the value of the wave number at which the maximum value of the dimensionless vertical force on the gate is detected. However the analytical model overestimates the peak value of the vertical load with respect to the CFD simulation. To fill this gap, in this paper an easy to use procedure is developed which allows to correct the results of the analytical model.

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“…This Fredholm integral equation based solution technique was extended by [40] and [41] to analyze the wave interaction with submerged flexible barriers in the water of finite and infinite depths. This problem is further investigated by [42] using the hypersingular integral equation technique and extended subsequently by [45] to an inclined flexible plate in deep water case. To dissipate a significant portion of the incoming wave energy and to mitigate the impact of the wave load on the barriers, flexible porous wave barriers are often used.…”

Section: Introductionmentioning

confidence: 99%

Integral equation technique for water wave interaction by an array of vertical flexible porous wave barriers

Koley

Sahoo

2020

Z Angew Math Mech

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Scattering of obliquely incident surface gravity waves by an array of partial flexible vertical porous wave barriers of varied configurations is studied in finite water depth and deep water cases. For the mathematical modeling purpose, linearized water wave theory is considered. Firstly, the problem associated with double vertical barriers is handled for a solution. To solve the problem, the associated BVP (boundary value problem) is transformed into a system of Fredholm integral equations of the second kind. By using suitable quadrature formulae, these integral equations are converted to a system of linear algebraic equations. These are solved to compute various important physical quantities associated with wave scattering. The energy identities for both finite water depth and deep water cases are derived. These derived energy identities are used to check the computational accuracy and to quantify the loss of wave energy by the barrier system. Subsequently, the study is extended to deal with wave scattering by multiple non‐identical unequally spaced barriers using wide‐spacing approximation and results for equally spaced identical barriers are obtained as a special case. The methodology is further generalized to deal with Bloch problem to incorporate a periodic array of infinite barriers. Occurrences of Bragg resonance in case of multiple barriers are analyzed. From the results associated with the linearized water wave theory, the second‐order mean wave forces are computed and compared with the first‐order wave forces. The phenomena of cloaking for wave scattering by multiple impervious barriers are discussed for a wide variety of wave and structural parameters. The methodology used in this present study can easily be generalized to solve similar problems that arise in mathematical physics.

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Scattering of water waves by an inclined elastic plate in deep water

Cited by 21 publications

References 32 publications

Stabilisation of compliant floating platforms with sheet barriers under wave action

Stabilisation of compliant floating platforms with sheet barriers under wave action

Wave Loads on a Navigation Lock Sliding Gate: Non-Linear Effects

Integral equation technique for water wave interaction by an array of vertical flexible porous wave barriers

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