Nonlinear Inertial Loading. Part I: Accelerations in Steep 2-D Water Waves

Swan, Chris; Bashir, Tufail; Gudmestad, Ove T.

doi:10.1006/jfls.2001.0425

Cited by 10 publications

(8 citation statements)

References 36 publications

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“…Further information concerning the description of these wave groups is given in Baldock et al [17] and Johannessen & Swan [18]. In all cases, the process of obtaining the required wave event at the location of the column was as outlined by Swan et al [19]. In §4, much of the data analysis is based upon the regular wave cases (test cases 1-10 in table 1).…”

Section: (C) Test Conditionsmentioning

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: (C) Test Conditionsmentioning

confidence: 99%

The interaction between steep waves and a surface-piercing column

Swan

Sheikh

2015

Phil. Trans. R. Soc. A.

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“…It can be seen that it leads to the highest total loading from the second harmonic (Figure 5g), increasing with the increasing harmonics (Figure 5h-j). Swan et al (2002) [22] found that when fully nonlinear wave kinematics were used (Rienecker-Fenton in [22]), the nonlinearities in the hydrodynamic loading model (Rainey theory in [22]) were of smaller importance. In this study, nonetheless, as will also be seen in next sections, the importance of the nonlinearities in the hydrodynamic loading model is found to be greater for the more nonlinear wave kinematics than for linear.…”

Section: Distinction Between the Nonlinearities In Wave Kinematics Anmentioning

confidence: 99%

“…In Stansberg (1997) [21], on the other hand, FNV theory was the only numerical loading model. A wide selection of wave kinematics and hydrodynamic loading models were compared in the OC5 Phase Ib [7], but none of them was a consistent perturbation model, e.g., FNV or M&M. Swan et al (2002) [22] compared Morison equation and Rainey corrections on linear and fully nonlinear wave kinematics and determined that the nonlinearities in wave kinematics were more important than the nonlinearities in the hydrodynamic loading model because when the wave kinematics were fully nonlinear, the nonlinear corrections in the loading model became less relevant. The closest set-up to the present study has been conducted by the Wave Loads project [23] where Morison equation, Rainey theory, FNV and M&M were compared using fully nonlinear wave kinematics.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Nonlinear Wave-Loading Models on Rigid Cylinders in Regular Waves

et al. 2019

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Monopiles able to support very large offshore wind turbines are slender structures susceptible to nonlinear resonant phenomena. With the aim to better understand and model the wave-loading on these structures in very steep waves where ringing occurs and the numerical wave-loading models tend to lose validity, this study investigates the distinct influences of nonlinearities in the wave kinematics and in the hydrodynamic loading models. Six wave kinematics from linear to fully nonlinear are modelled in combination with four hydrodynamic loading models from three theories, assessing the effects of both types of nonlinearities and the wave conditions where each type has stronger influence. The main findings include that the nonlinearities in the wave kinematics have stronger influence in the intermediate water depth, while the choice of the hydrodynamic loading model has larger influence in deep water. Moreover, finite-depth FNV theory captures the loading in the widest range of wave and cylinder conditions. The areas of worst prediction by the numerical models were found to be the largest steepness and wave numbers for second harmonic, as well as the vicinity of the wave-breaking limit, especially for the third harmonic. The main cause is the non-monotonic growth of the experimental loading with increasing steepness due to flow separation, which leads to increasing numerical overpredictions since the numerical wave-loading models increase monotonically.

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“…However these methods only allow measurement of velocity at a single fixed location. Swan et al (2002) carried out a number of experiments at different locations in order to calculate the velocity field on a spatial coordinate system. Hence it is recommended to use PIV (Particle Image Velocimetry) for the calculation of velocity field in a spatial coordinate system by single experiment with minimum error (Sung and Doh, 2004).…”

Section: Introductionmentioning

confidence: 99%

A study of flow structure of bichromatic waves through PIV analysis

Jo¹,

Lee²,

Choi³

2012

International Journal of Ocean System Engineering

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An experimental study was carried out in order to understand the kinematics of bichromatic waves. Bichromatic waves are generated in a two-dimensional wave tank, and measured by panorama PIV technique, which allows the flow fields to be captured with respect to a spatial coordinate system. We compared wave profiles and velocities of wave particles obtained by experiment with theoretical results using Stokes 1st and 2nd order waves. The velocity distribution at wave crest and trough of the highest and lowest point of a bichromatic wave are investigated in this study.

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Nonlinear Inertial Loading. Part I: Accelerations in Steep 2-D Water Waves

Cited by 10 publications

References 36 publications

The interaction between steep waves and a surface-piercing column

The interaction between steep waves and a surface-piercing column

Comparison of Nonlinear Wave-Loading Models on Rigid Cylinders in Regular Waves

A study of flow structure of bichromatic waves through PIV analysis

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