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

Zheng, Siming; Liang, Hui; Michele, Simone; Greaves, Deborah

doi:10.1103/physrevfluids.8.014803

Cited by 17 publications

(3 citation statements)

References 31 publications

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“…The hydrodynamic characteristics of these structures possess both academic and practical value, leading to an increasing number of studies in recent years with an engineering purpose. For example, Wang and Yeung (2019) developed a hybrid integral-equation method for point-absorber WECs; and investigated the structural performance of porous cylinders on a porous seabed; Das et al (2022Das et al ( , 2023 studied the behavior of discs submerged in two-and three-layer fluids; Porter (2015) proposed an efficient method for wave radiation and diffraction by circular plates, and this work has been extended to permeable plates in an array by Zheng et al (2023) and and to nearly circular plates by Farina et al (2017).…”

Section: Introductionmentioning

confidence: 99%

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

2023

Physics of Fluids

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Axisymmetric geometries, such as cylindrical elements, are widely used in offshore structures. However, the presence of sharp edges in these geometries introduces challenges in numerical simulations due to singularities. To address this issue, one possible solution is to represent the singularities using analytic eigenfunctions. This approach can provide insights into the essence of the problem and has successfully applied to two-dimensional (2D) corner problems. However, finding appropriate eigenfunctions for the three-dimensional (3D) edges remains an open challenge. This paper proposes a semi-analytic scheme for 3D axisymmetric problems utilizing a scaled boundary finite element method (SBFEM). A dimensional reduction is introduced to the 3D Laplace equation, and a 3D edge is handled on the generatrix plane while governed by a complicated equation. The algorithm for resolving the SBFEM fundamental space is improved, and the singularities are approximated using a fractional-order basis. The effectiveness of the proposed method is demonstrated through its application to solve the radiation problem of a heaving cylinder. The method accurately captures the singular velocity field at the edge tip, ensuring that the boundary condition on the body surface is strictly satisfied in the neighborhood of the singularity. Accuracy of the mean drift force is ensured by performing direct pressure integrations over the body surface using a near-field formulation, which becomes as accurate as the middle-field formulation.

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Section: Introductionmentioning

confidence: 99%

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

2023

Physics of Fluids

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“…Its hydrodynamic characteristics (i.e., coefficients of wave reflection, transmission, energy dissipation and wave force) related to variations in plate size, spacing, submerged depth, inclination angle, and incident wavelength have been widely discussed. Examples include Cho and Kim (2008), Evans and Peter (2011), Liu et al (2008, 2012, Vijay et al (2020), Liang et al (2021), Poguluri et al (2022) and Zheng et al (2023). The above studies focus on rigid perorated plates.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic performance of a self-protected hybrid offshore wind-wave energy system

Cong,

Liu,

Wei

et al. 2023

Physics of Fluids

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The load-bearing capacity is a pivotal consideration in the design of offshore renewable energy structures. This paper aims to address the technical challenges associated with the additional wave loads caused by the integrated devices in a hybrid system for the multi-purpose utilization of coastal renewable energy. A self-protected hybrid wind-wave energy system is proposed, in which an oscillating water column (OWC) device is attached at a monopile foundation of an offshore wind turbine. In the meantime, the OWC is connected by a submerged horizontal perforated plate at its exterior shell, which is expected to minimize the wave loads on the system. The hydrodynamic performance of the system is investigated. A novel approach is developed to model the wave interaction with the hybrid system. This efficient approach removes the necessity of decomposing the wave-scattering field into diffraction and pressure-dependent radiation components. Detailed numerical computation is then conducted for both regular and irregular sea states. Various hydrodynamic properties related to the system, such as wave energy harvesting, wave force/moment, and free-surface elevation, have been evaluated. Numerical results manifest the feasibility of imposing a negligible effect on the high wave energy harvesting while reducing the high wave loads by manipulating the submerged horizontal perforated plate. The impact of the perforated plate on the dominant wave energy harvesting in the long-period region is found to be trivial. In contrast, it can affect the high bending moment in the short-period region, which causes a reduction of greater than 15%.

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“…Wave scattering characteristics by submerged fixed plates have been investigated by many researchers, see e.g. [1], [2], [3], [4], [5] and [6]. Compared to submerged fixed plates, oscillating horizontal plates are more efficient to scatter waves, as illustrated by [7], [8] and [9].…”

Section: Introductionmentioning

confidence: 99%

Scattering of Long Waves by Freely Oscillating Submerged Plates

Chen

Hayatdavoodi

Zhao

et al. 2023

Journal of Offshore Mechanics and Arctic Engineering

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We consider a horizontal, submerged plate in shallow water that is allowed to oscillate in the vertical direction due to the wave loads. The plate is attached to a linear spring and damper to control the oscillations. The focus of the study is on the transformation of the wave field by the submerged oscillating plate. To estimate energy scattering, wave reflection and transmission coefficients are determined from four wave gauges; two placed upwave and two placed downwave of the oscillating plate. The flow is governed by the nonlinear Level I Green-Naghdi (GN) equations, coupled with the equations of the vertical oscillations of the plate. Time series of water surface elevation recorded at gauges upwave and downwave of the plate obtained by the GN model are compared with the available laboratory experiments and other data, and very good agreement is observed. Wave reflection and transmission coefficients are then determined for a range of involved parameters, including wave conditions (wavelength and wave height), initial submergence depth of the plate, plate length, and the spring-damper system attached to the plate. It is found that a submerged oscillating plate can have a remarkable effect on the wave field, and that nonlinearity plays an important role in this wave-structure interaction problem. Discussion is provided on how the wave reflection and transmission coefficients vary with the wave conditions, plate characteristics, initial submergence depth and spring-damper system properties.

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

Cited by 17 publications

References 31 publications

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

Hydrodynamic performance of a self-protected hybrid offshore wind-wave energy system

Scattering of Long Waves by Freely Oscillating Submerged Plates

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