Wave power extraction from a floating elastic disk-shaped wave energy converter

Zheng, Siming; Michele, Simone; Liang, Hui; Meylan, Michael H.; Greaves, Deborah

doi:10.1017/jfm.2022.701

Cited by 28 publications

(4 citation statements)

References 38 publications

(63 reference statements)

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“…see Zheng et al. 2022 a ); whereas for the wave radiation problem, it could be expressed as the difference between the input power and the wave power radiated away from the cylinder due to its oscillation, i.e. which, hereinafter, is called the ‘indirect method’, where denotes the wave group velocity .…”

Section: Hydrodynamic Responses and Reciprocal Relationsmentioning

confidence: 99%

Wave scattering and radiation by a surface-piercing vertical truncated metamaterial cylinder

Zheng,

Liang,

Greaves

2024

J. Fluid Mech.

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In this paper, we study wave scattering and radiation by a surface-piercing vertical truncated metamaterial cylinder composed of a closely spaced array of thin vertical barriers, between which fluid can flow. A theoretical model is developed under full depth-dependent linearised water wave theory, where an effective medium equation and effective boundary conditions are employed, respectively, to describe the fluid motion inside the cylinder and match the flow between the fluid regions in and outside the metamaterial cylinder. A damping mechanism is introduced at the surface of the fluid occupied by the metamaterial cylinder to consider the wave power dissipation in narrow gaps between the thin vertical plates. The wave excitation forces acting on the cylinder and the hydrodynamic coefficients can be calculated straightforwardly in terms of the velocity potential inside the cylinder. An alternative way is by using the velocity potential outside the cylinder, the expression of which has the reduction of the integral and an infinite accumulation that are included in the straightforward expression. The results highlight the patterns of the radiated waves induced by the oscillation of the cylinder and the characteristics of the hydrodynamic coefficients. The metamaterial cylinder when fixed in place and with a damping mechanism included is found to capture more wave power than that of a traditional axisymmetric heaving wave energy converter over a wide range of wave frequencies.

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Section: Hydrodynamic Responses and Reciprocal Relationsmentioning

confidence: 99%

Wave scattering and radiation by a surface-piercing vertical truncated metamaterial cylinder

Zheng,

Liang,

Greaves

2024

J. Fluid Mech.

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“…by using the expressions of the velocity potentials from Eqs. ( 22)-( 23) and c g = ω 2k 1 + 2kH sinh 2kH 31 .…”

Section: A Theoretical Solution To Velocity Potentialsmentioning

confidence: 99%

Time-dependent water wave scattering by a marine structure consisting of an array of compound porous cylinders

et al. 2023

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Under the assumption of linear wave theory, a semi-analytical model is developed to address the time-dependent water wave scattering problem involving a marine structure consisting of several circular rigid vertical cylinders, each of which is surrounded by a thin cylindrical porous wall with a water region between the inner cylinder and the wall. The problem is tackled by applying the eigenfunction expansion approach. The energy dissipation relation is also derived for the system of compound cylinders. The principal focus of this work lies in locating the optimum geometrical configurations for which the wave forces acting on the structure are minimal along a given wave direction in the frequency domain. Subsequently, the time-dependent response of the structure under the impact of a Gaussian wave pulse is examined. The wavenumber at which the force acting on the inner cylinder is at its maximum is obtained for a given value of the porous-effect parameter. Moreover, the value of that corresponding wavenumber decreases as the magnitude of the porous-effect parameter increases. The model is also carefully validated numerically against results available in the existing literature.

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“…Resonance of plate bending elastic modes has been proven to be an effective power extraction mechanism in [3], whereas more recently Michele et al [4] and Zheng et al [5] solved the case of a floating free-edge flexible circular wave energy converter by means of free-edge dry modes expansion and dispersion relation for flexural wave propagation, respectively. Liang et al [6] considered wave effects on submerged perforated elastic plates numerically by coupling a boundary element method and dry modes of plates.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2023

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In this paper, water wave interaction with an array of thin submerged horizontal circular plates is investigated within the framework of linear potential flow theory. To consider a more general case, the circular plates studied in this paper are not limited to be rigid and impermeable, and instead, they can be perforated or/and elastic. A Hankel transform approach is employed to formulate integral equations in terms of unknown functions related to the jump in velocity potential across each plate. A Galerkin method is adopted to the solution of these integral equations and the velocity potential jump across the plate is expressed in terms of Fourier-Gegenbauer series, incorporating the known square-root behavior at the edge of the plate in a rapidly convergent numerical scheme. For elastic plates, the plate motion is expanded in modes of free vibration with the edge constraint conditions accounted for intrinsically.The unknown coefficients of the plate motion are further expressed in terms of the unknown coefficients related to the velocity potential jump. The Hankel transform based model is found to be valid for multiple plates distributed arbitrarily, including the staggered arrangement, for which the traditional eigenfunction matching method would not work. In-depth discussions have been made to the hydrodynamic responses of staggered arrangement of plates. It is found that the staggered arrangement of plates can result in notable wave focusing, while less energy dissipation. The largest principal strain is observed on the front region of the plate submerged at a shallower depth.

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Wave power extraction from a floating elastic disk-shaped wave energy converter

Cited by 28 publications

References 38 publications

Wave scattering and radiation by a surface-piercing vertical truncated metamaterial cylinder

Wave scattering and radiation by a surface-piercing vertical truncated metamaterial cylinder

Time-dependent water wave scattering by a marine structure consisting of an array of compound porous cylinders

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

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