A boundary element method for the hydrodynamic analysis of floating bodies in variable bathymetry regions

Belibassakis, Kostas

doi:10.1016/j.enganabound.2008.02.003

Cited by 52 publications

(30 citation statements)

References 33 publications

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“…10. The details of procedure are found in Athanassoulis and Belibassakis (1999) and Belibassakis (2008).…”

Section: Coupled-mode Wave Theorymentioning

confidence: 99%

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Numerical Analysis of Floating-Body Motions in Varying Bathymetry

Kim¹,

Kim²

2014

International Journal of Ocean System Engineering

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“…10. The details of procedure are found in Athanassoulis and Belibassakis (1999) and Belibassakis (2008).…”

Section: Coupled-mode Wave Theorymentioning

confidence: 99%

“…Coupledmode wave theory is semi-analytic approach to the incident wave. It assumes that the wave is composed of 3 distinct modes (Athanassoulis and Belibassakis, 1999; Belibassakis, 2008). Then, induced motion responses of floating body can be calculated when the solution of incident wave is mapped properly.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Floating-Body Motions in Varying Bathymetry

Kim¹,

Kim²

2014

International Journal of Ocean System Engineering

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“…Matching boundaries have been used for a variety of wave-body problems, especially for cases involving thin vertical barriers and bodies with vertical sides. Belibassakis (2008) and Pinkster (2011) (0) includes the incident wave Φ inc defined by (2.5) and the scattering component Φ sc which satisfies the radiation condition in the far field given by (2.8). The matching boundary S m separates the two domains, extending from the bottom z = −h 0 to the free surface z = 0.…”

Section: Fully Three-dimensional Calculationsmentioning

confidence: 99%

Cloaking of a vertical cylinder in waves using variable bathymetry

Porter

Newman

2014

J. Fluid Mech.

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The paper describes a process which allows a vertical circular cylinder subject to plane monochromatic surface gravity waves to appear invisible to the far-field observer. This is achieved by surrounding the cylinder with an annular region of variable bathymetry. Two approaches are taken to investigate this effect. First a mild-slope approximation is applied to the governing linearised three-dimensional water wave equations to formulate a depth-averaged two-dimensional wave equation with varying wavenumber over the variable bathmetry. This is then solved by formulating a domain integral equation, solved numerically by discretisation. For a given set of geometrical and wave parameters, the bathymetry is selected by a numerical optimisation process and it is shown that the scattering cross-section is reduced towards zero with increasing refinement of the bathymetry. A fully three-dimensional boundary element method, based on the WAMIT solver but adapted here to allow for depressions in the bed, is used to assess the accuracy of the mild-slope results and then further numerically optimise the bathymetry towards a cloaking structure. Numerical results provide strong evidence that perfect cloaking is possible for the fully three-dimensional problem. One practical application of the results is that cloaking implies a reduced mean drift force on the cylinder.

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“…Extensions of the method to treat the WEC arrays in variable bathymetry regions are also presented and discussed.modes may have a significant impact on the wave phase evolution during propagation. Such a fact was demonstrated through the interference process in one-directional wave propagation as observed for either varying topographies (see e.g., [12,13]) or abrupt bathymetries including coastal structures (see e.g., [14][15][16]). For such problems, the consistent coupled-mode theory has been developed in [17], for the water waves propagation in variable bathymetry regions.…”

mentioning

confidence: 99%

“…Results are shown in various representative test cases demonstrating the importance of the first evanescent modes and the additional sloping-bottom mode when the bottom slope is not negligible.In this work, a methodology is presented to treat the propagation-diffraction-radiation problem locally around each WEC, supporting the calculation of the interaction effects of the floating units with variable bottom topography at a local scale. The method is based on the coupled-mode model developed by [17], and extended to 3D by [18], for water wave propagation over general bottom topography, in conjunction with the Boundary Element Method (BEM) for the hydrodynamic analysis of floating bodies over general bottom topography [15] and the corresponding 3D Green's function [26]. An important feature of the present method is that it is free of mild-slope assumptions and restrictions and it is able to resolve the 3D wave field all over the water column, in variable bathymetry regions including the interactions of floating bodies of general shape.…”

mentioning

confidence: 99%

A Novel Method for Estimating Wave Energy Converter Performance in Variable Bathymetry Regions and Applications

2018

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A numerical model is presented for the estimation of Wave Energy Converter (WEC) performance in variable bathymetry regions, taking into account the interaction of the floating units with the bottom topography. The proposed method is based on a coupled-mode model for the propagation of the water waves over the general bottom topography, in combination with a Boundary Element Method for the treatment of the diffraction/radiation problems and the evaluation of the flow details on the local scale of the energy absorbers. An important feature of the present method is that it is free of mild bottom slope assumptions and restrictions and it is able to resolve the 3D wave field all over the water column, in variable bathymetry regions including the interactions of floating bodies of general shape. Numerical results are presented concerning the wave field and the power output of a single device in inhomogeneous environment, focusing on the effect of the shape of the floater. Extensions of the method to treat the WEC arrays in variable bathymetry regions are also presented and discussed.modes may have a significant impact on the wave phase evolution during propagation. Such a fact was demonstrated through the interference process in one-directional wave propagation as observed for either varying topographies (see e.g., [12,13]) or abrupt bathymetries including coastal structures (see e.g., [14][15][16]). For such problems, the consistent coupled-mode theory has been developed in [17], for the water waves propagation in variable bathymetry regions. Furthermore, it was subsequently extended for 3D bathymetry in [18], and applied successfully to treat the wave transformation over nearshore/coastal sites with steep 3D bottom features, like underwater canyons; see, e.g., [19,20].In recent works [21,22] the coupled-mode model is further extended to treat the wave-current-seabed interaction problem, with application to the wave scattering by non-homogeneous current over general bottom topography. The problem of the directional spectrum transformation of an incident wave system over a region of strongly varying three-dimensional bottom topography is further studied in [22]. The accuracy and efficiency of the coupled-mode method is tested, comparing numerical predictions against experimental data by [23] and calculations by the phase-averaged model SWAN [24,25]. Results are shown in various representative test cases demonstrating the importance of the first evanescent modes and the additional sloping-bottom mode when the bottom slope is not negligible.In this work, a methodology is presented to treat the propagation-diffraction-radiation problem locally around each WEC, supporting the calculation of the interaction effects of the floating units with variable bottom topography at a local scale. The method is based on the coupled-mode model developed by [17], and extended to 3D by [18], for water wave propagation over general bottom topography, in conjunction with the Boundary Element Method (BEM) for the hydrodynamic analysis of fl...

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A boundary element method for the hydrodynamic analysis of floating bodies in variable bathymetry regions

Cited by 52 publications

References 33 publications

Numerical Analysis of Floating-Body Motions in Varying Bathymetry

Numerical Analysis of Floating-Body Motions in Varying Bathymetry

Cloaking of a vertical cylinder in waves using variable bathymetry

A Novel Method for Estimating Wave Energy Converter Performance in Variable Bathymetry Regions and Applications

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