Hydroelastic interaction of nonlinear waves with floating sheets

Kostikov, Vasily; Hayatdavoodi, Masoud; Ertekin, R. Cengiz

doi:10.1007/s00162-021-00571-1

Cited by 10 publications

(14 citation statements)

References 62 publications

(95 reference statements)

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“…In Figure 4a, the comparison shows that the trend of C t is in a similar pattern however, there are some deviations between the two models. This is because of the nonlinearity in [26] and the linearity in the present BIEM model. From Figure 4b,c, it is found that the trend of the C r and C t are similar and also the data between the BIEM and SWA are very close to each other.…”

Section: Comparison Of Results With Existing Published Results Experimental Datasets and Swa Modelmentioning

confidence: 99%

“…(a) Comparison of the t C : present (BIEM) and Green-Naghdi model [26]. Comparison of the deflection amplitude with the model [24] and experimental data in [25].…”

Section: Comparison Of Results With Existing Published Results Experimental Datasets and Swa Modelmentioning

confidence: 99%

“…Figure 4. Comparison of present BIEM with Green-Naghdi model[26] and SWA of the reflection and the transmission coefficients C r and C t .…”

mentioning

confidence: 99%

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Effect of Mooring Lines on the Hydroelastic Response of a Floating Flexible Plate Using the BIEM Approach

Mohapatra

Soares

2021

JMSE

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A boundary integral equation method (BIEM) model for the problem of surface wave interaction with a moored finite floating flexible plate is presented. The BIEM solution is obtained by employing the free surface Greens function and Green’s theorem, and the expressions for the plate deflection, reflection, and transmission coefficients are derived from the integro-differential equation. Furthermore, the shallow water approximation model and its solution is obtained based on the matching technique in a direct manner. The accuracy of the present BIEM code is checked by comparing the results of deflection amplitude, reflection, and transmission coefficients with existing published results and experimental datasets as well as the shallow water approximation model. The hydroelastic response of the moored floating flexible plate is studied by analyzing the effects of the mooring stiffness, incidence angle, and flexural rigidity on the deflection amplitude, plate deformations, reflection, and transmission coefficients. The present analysis may be helpful in understanding the different physical parameters to model a wave energy conversion device with mooring systems over BIEM formulations.

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Section: Comparison Of Results With Existing Published Results Experimental Datasets and Swa Modelmentioning

confidence: 99%

“…(a) Comparison of the t C : present (BIEM) and Green-Naghdi model [26]. Comparison of the deflection amplitude with the model [24] and experimental data in [25].…”

Section: Comparison Of Results With Existing Published Results Experimental Datasets and Swa Modelmentioning

confidence: 99%

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Effect of Mooring Lines on the Hydroelastic Response of a Floating Flexible Plate Using the BIEM Approach

Mohapatra

Soares

2021

JMSE

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“…which can be written both under the free surface in RI and under the sheet in RII. Pressure distribution in both regions can be obtained from Euler's equation in the form [22]:…”

Section: (A) the Green-naghdi Equationsmentioning

confidence: 99%

“…The present study is the first attempt to build a theoretical model of wave-and current-induced drift of an elastic plate of arbitrary length, elasticity and thickness and provide insight about the fluid and structure dynamics. In our recent work [22], we have considered the interaction of nonlinear waves with a set of elastic plates, restricted to the vertical motion. In this paper, we will study wave and current interaction with a floating elastic sheet, which is free to drift horizontally.…”

Section: Introductionmentioning

confidence: 99%

Drift of elastic floating ice sheets by waves and current, part I: single sheet

2021

Self Cite

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The drift motion of a freely floating deformable ice sheet in shallow water subjected to incident nonlinear waves and uniform current is studied by use of the Green–Naghdi theory for the fluid motion and the thin plate theory for an elastic sheet. The nonlinear wave- and current-induced forces are obtained by integrating the hydrodynamic pressure around the body. The oscillations and translational motion of the sheet are then determined by substituting the flow-induced forces into the equation of motion of the body. The resulting governing equations, boundary and matching conditions are solved in two dimensions with a finite difference technique. The surge and drift motions of the sheet are analysed in a broad range of body parameters and various wave-current conditions. It is demonstrated that wavelength to sheet length ratio plays an important role in the drift response of the floating sheet, while the sheet mass and rigidity have comparatively less impact. It is also observed that while the presence of the ambient current changes the drift speed significantly (almost linearly), it has little to no effect on its oscillations. However, under the same ambient current, the drift speed changes remarkably by the wave period (or wavelength).

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Numerical analysis of wave–structure interaction of regular waves with surface-piercing inclined plates

Cummins

Scarlett²,

Windt

2021

J. Ocean Eng. Mar. Energy

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The Mocean wave energy converter consists of two sections, hinged at a central location, allowing the device to convert energy from the relative pitching motion of the sections. In a simplified form, the scattering problem for the device can be modelled as monochromatic waves incident upon a thin, inclined, surface-piercing plate of length $$L'$$ L ′ in a finite depth $$d'$$ d ′ of water. In this paper, the flow past such a plate is solved using a Boundary Element Method (BEM) and Computational Fluid Dynamics (CFD). While the BEM solution is based on linear potential flow theory, CFD directly solves the Navier–Stokes equations. Problems of this type are known to exhibit near-perfect reflection (indicated by a reflection coefficient $$|R|\approx 1$$ | R | ≈ 1 ) of waves at specific wavenumbers $$k'$$ k ′ . In this paper, we show that the resonant motion of the fluid induces large hydrodynamic forces on the plate. Furthermore, we argue that this low-frequency resonance resembles Helmholtz resonance, and that Mocean’s device being able to tune to these low frequencies does not act like an attenuator. For the case where the water is deep ($$d'>\lambda '/2$$ d ′ > λ ′ / 2 , where $$\lambda '=2\pi /k'$$ λ ′ = 2 π / k ′ ), we find excellent agreement between our simulations and previous semi-analytical studies on the value of the resonant wave periods in deep water. We also find excellent agreement between the excitation forces on the plate computed using the BEM model, analytical results, and CFD for large inclination angles ($$\alpha > 45^\circ $$ α > 45 ∘ ). For $$\alpha \le 15^\circ $$ α ≤ 15 ∘ , both methods show the same trend, but the CFD predicts a significantly smaller peak in the excitation force compared with BEM, which we attribute to non-linear effects such as the non-linear Froude–Krylov force

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Hydroelastic interaction of nonlinear waves with floating sheets

Cited by 10 publications

References 62 publications

Effect of Mooring Lines on the Hydroelastic Response of a Floating Flexible Plate Using the BIEM Approach

Effect of Mooring Lines on the Hydroelastic Response of a Floating Flexible Plate Using the BIEM Approach

Drift of elastic floating ice sheets by waves and current, part I: single sheet

Numerical analysis of wave–structure interaction of regular waves with surface-piercing inclined plates

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