Finite-Element Computation of Wave-Structure Interaction between Steep Stokes Waves and Vertical Cylinders

Kim, J. W.; Kyoung, Jo Hyun; Ertekin, R. Cengiz; Bai, Kwang June

doi:10.1061/(asce)0733-950x(2006)132:5(337)

Cited by 27 publications

(11 citation statements)

References 21 publications

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“…Alongside this work, several fully nonlinear solutions have also been proposed: finite-element solutions provided by Ma et al [10,11], Kim et al [12] and Eatock Taylor et al [13]; and boundary element solutions by Bai & Eatock Taylor [14] and Zhou et al [15]. While these solutions are undoubtedly important, several cases highlighting the importance of nonlinear effects, the focus of this paper lies in a physical explanation for the occurrence of unexpected high-frequency wave scattering, a clear explanation as to why low-order diffraction solutions are inappropriate and, perhaps most importantly, a description as to why these effects are potentially very important in the context of offshore engineering.…”

Section: Introductionmentioning

confidence: 99%

The interaction between steep waves and a surface-piercing column

Swan

Sheikh

2015

Phil. Trans. R. Soc. A.

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Experimental observations are presented of a single surface-piercing column subject to a wide range of surface gravity waves. With the column diameter, D , chosen such that the flow lies within the drag-inertia regime, two types of high-frequency wave scattering are identified. The first is driven by the run-up and wash-down on the surface of the column in the vicinity of the upstream and downstream stagnation points. The second concerns the circulation of fluid around the column, leading to the scattering of a pair of non-concentric wavefronts. The phasing of the wave cycle at which this second mode evolves is dependent upon the time taken for fluid to move around the column. This introduces an additional time-scale, explaining why existing diffraction solutions, based upon a harmonic analysis of the incident waves, cannot describe this scattered component. The interaction between the scattered waves and the next (steep) incident wave can produce a large amplification of the scattered waves, particularly the second type. Evidence is provided to show that these interactions can produce highly localized free-surface effects, including vertical jetting, with important implications for the setting of deck elevations, the occurrence of wave slamming and the development of large run-up velocities.

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Section: Introductionmentioning

confidence: 99%

The interaction between steep waves and a surface-piercing column

Swan

Sheikh

2015

Phil. Trans. R. Soc. A.

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“…The numerical scheme adopted for these fully nonlinear simulations was the mixed Eulerian-Lagrangian higher-order boundary element method (BEM) described by [12,13]. Other numerical solution approaches for the potential-flow diffraction problem in the nonlinear wave regime include a finite-element computation based on Hamilton's principle [14], and a nonlinear decomposition method to solve for the diffracted wave field assuming the incident wave is explicitly known as described by [15] and recently investigated in more detail in [16]. Viscous flow solvers have also been used in order to describe the physics of the interaction more comprehensively, including the hybrid finite volume-volume of fluid method adopted by [17] and a spectral wave explicit Navier-Stokes equations solver used by [18].…”

Section: Introductionmentioning

confidence: 99%

Phase manipulation and the harmonic components of ringing forces on a surface-piercing column

Fitzgerald

Taylor

et al. 2014

Proc. R. Soc. A.

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A general phase-based harmonic separation method for the hydrodynamic loading on a fixed structure in water waves of moderate steepness is proposed. An existing method demonstrated in the experimental study described by Zang et al. (Zang et al. 2010 In Proc. Third Int. Conf. on Appl. of Phys. Modelling to Port and Coastal Protection. pp. 1-7.) achieves the separation of a total diffraction force into odd and even harmonics by controlling the phase of incident focused waves. Underlying this method is the assumption that the hydrodynamic force in focused waves possesses a Stokes-like structure. Under the same assumption, it is shown here how the harmonic separation method can be generalized, so that the first four sum harmonics can be separated by phase control and linear combinations of the resultant time-histories. The effectiveness of the method is demonstrated by comparisons of the Fourier transforms of the combined time-histories containing the harmonics of interest. The local wave elevations around the focus time are also visualized for the first three harmonics in order to reveal the local dynamics driving components within the wave force time-history.

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“…In shallow water, and for large waves where nonlinearity and dispersion effects are significant, the use of shallow-water wave equations is inevitable, see, e.g., Kim et al [37], Swan and Sheikh [66], for the effects of nonlinearity and wave steepness on wave loads on a vertical cylinder. Studies on solitary and cnoidal wave loads on vertical cylinders are very limited, see Apelt and Piorewicz [2], Wang et al [71], Yang and Ertekin [80], Wang and Jiang [70], Yates and Wang [81], Zhong and Wang [86].…”

mentioning

confidence: 99%

“…Bai and Taylor [3] used the domain decomposition method to study the fully nonlinear wave diffraction of linear waves by a vertical cylinder in monochromatic waves as well as focused, group waves. Kim et al [36,37] used the finite-element method to study the timedomain propagation of Stokes waves and their interaction with vertical cylinders and compared the run-up with the stream function theory of Ferrant [23]. Nonlinear loads on vertical cylinders and floating bodies in irregular waves are studied by Sclavounos [61,62] through the time derivative of the fluid impulse.…”

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confidence: 99%

Diffraction of cnoidal waves by vertical cylinders in shallow water

Hayatdavoodi

Neill

Ertekin

2018

Theor. Comput. Fluid Dyn.

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Diffraction of nonlinear waves by single or multiple in-line vertical cylinders in shallow water is studied by use of different nonlinear, shallow-water wave theories. The fixed, in-line, vertical circular cylinders extend from the free surface to the seafloor and are located in a row parallel to the incident wave direction. The wave-structure interaction problem is studied by use of the nonlinear generalized Boussinesq equations, the Green-Naghdi shallow-water wave equations, and the linearized version of the shallow-water wave equations. The wave-induced force and moment of the Green-Naghdi and the Boussinesq equations are presented when the incoming waves are cnoidal, and the forces are compared with the experimental data when available. Results of the linearized equations are compared with the nonlinear results. It is observed that nonlinearity is very important in the calculation of the wave loads on circular cylinders in shallow water. The variation of wave loads with wave height, wavelength and the spacing between cylinders is studied. Effect of the neighboring cylinders, and the shielding effect of upwave cylinders on the wave-induced loads on downwave cylinders are discussed.

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Finite-Element Computation of Wave-Structure Interaction between Steep Stokes Waves and Vertical Cylinders

Cited by 27 publications

References 21 publications

The interaction between steep waves and a surface-piercing column

The interaction between steep waves and a surface-piercing column

Phase manipulation and the harmonic components of ringing forces on a surface-piercing column

Diffraction of cnoidal waves by vertical cylinders in shallow water

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