Nonlinear simulation of wave group attenuation due to scattering in broken floe fields

Xu, Boyang; Guyenne, Philippe

doi:10.1016/j.ocemod.2022.102139

Cited by 7 publications

(5 citation statements)

References 49 publications

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“…The HOS method has been used to study wave–ice interactions in the past (Bonnefoy et al. 2009; Guyenne & Părău 2012), with the majority of the applications considering ice sheets of infinite extent, and only more recently finite ice sheets (Guyenne & Părău 2017 a , b ; Xu & Guyenne 2023). Similar to these works, in the context of the HOS method, we model a finite ice sheet by smoothly varying the flexural rigidity term in (2.1 c ) from to over a taper length .…”

Section: High-order Spectral Methods For Wave–ice Interactionsmentioning

confidence: 99%

Sum-frequency triad interactions among surface waves propagating through an ice sheet

Pierce,

Liu,

Yue

2024

J. Fluid Mech.

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We study nonlinear resonant wave–wave interactions which occur when ocean waves propagate into a thin floating ice sheet. Using multiple-scale perturbation analysis, we obtain theoretical predictions of the wave amplitude evolution as a function of distance travelled past the ice edge for a semi-infinite ice sheet. The theoretical predictions are supported by a high-order spectral (HOS) method capable of simulating nonlinear interactions in both open water and the ice sheet. Using the HOS method, the amplitude evolution predictions are extended to multiple (coupled) triad interactions and a single ice sheet of finite length. We relate the amplitude evolution to mechanisms with strong frequency dependence – ice bending strain, related to ice breakup, as well as wave reflection and transmission. We show that, due to sum-frequency interactions, the maximum strain in the ice sheet can be more than twice that predicted by linearised theory. For an ice sheet of finite length, we show that nonlinear wave reflection and transmission coefficients depend on a parameter in terms of wave steepness and ice length, and can have values significantly different than those from linear theory. In particular, we show that nonlinear sum-frequency interactions can appreciably decrease the total wave energy transmitted past the ice sheet. This work has implications for understanding the occurrence of ice breakup, wave attenuation due to scattering in the marginal ice zone and the resulting ice floe size distribution.

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Section: High-order Spectral Methods For Wave–ice Interactionsmentioning

confidence: 99%

Sum-frequency triad interactions among surface waves propagating through an ice sheet

Pierce,

Liu,

Yue

2024

J. Fluid Mech.

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“…Note that in the nonlinear regime, the wave field around freely oscillating floating bodies cannot necessarily be expressed as a linear superposition of the component waves of η I , η R and η S , as in Equation (3). In this regime, interpretation of the component wave fields that were extracted using the methods described in Table 1 is complex and is beyond the scope of this paper, but this interpretation is important from the perspective of the system's nonlinearity, as shown in the nonlinear interactions between waves and ships [4] and between waves and ice floes [34].…”

Section: Extraction Of Radiation and Scattering Wavesmentioning

confidence: 99%

Stereo Reconstruction Method for 3D Surface Wave Fields around a Floating Body Using a Marker Net in a Wave Tank

Higuchi,

Houtani,

Gonçalves

et al. 2023

JMSE

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Spatial wave fields around floating bodies are important for the understanding of hydrodynamics, and particularly the wave drift forces, of floating bodies in waves; however, experimental measurement of these fields is challenging. This paper presents a stereo reconstruction method for three-dimensional (3D) surface wave fields around floating bodies in a wave tank. Styrofoam markers were attached to a flexible net in a regular grid, called a marker net, and were placed on the water surface to be used as targets for stereo cameras (SCs). A thin plate spline was applied to the markers detected by the SCs to reconstruct the 3D surface wave profile around a floating body model. The proposed method was validated by measuring the wave field around a cylindrical floating body with a footing at its bottom. These experiments were conducted under regular wave incidence conditions. A wave elevation time series measured using a servo-controlled wave gauge was used as the benchmark data. The 3D surface wave field reconstruction method was applied under three different conditions: without the model, with a fixed model, and with a freely oscillating model. The results showed reliable reconstructions of the scattering and radiation waves. The marker net’s effects on the floating body’s motion and the surrounding wave fields were shown to be negligible by comparing the results acquired with and without the marker net.

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“…Ref. [16] used a direct phase resolution simulation to study the propagation and scattering of nonlinear ocean waves in broken sea ice. They calculated the local wave spectra of the entire ice field for various wave states and floating ice configurations, and performed least square fitting to extract the spatial attenuation rate as a function of wave frequency.…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Wave Interaction with a Rigid Body Floating near the Marginal Ice Zone

Wan,

Shi,

2024

JMSE

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The interaction problem of waves with a body floating near the marginal ice zone is studied, where the marginal ice zone is modeled as an array of multiple uniformly sized floating ice sheets. The linear velocity potential theory is applied for fluid flow, and the thin elastic plate mode is utilized to describe the ice sheet deflection. A hybrid method is used to solve the disturbed velocity potential; i.e., around the floating body, a boundary integral equation is established, while in the domain covered by ice sheets, the velocity potential is expanded into an eigenfunction series, and in the far-field with a free surface, a similar eigenfunction expansion is used to satisfy the radiation condition. The boundary integral equation and the coefficients of the eigenfunction expansions are solved together based on the continuous conditions of pressure and velocity on the interface between the sub-domains. Extensive results for the equivalent Young’s modulus of the ice sheet array and hydrodynamic force on the body are provided, and the effect of individual ice sheet length as well as wave parameters are investigated in detail.

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Nonlinear simulation of wave group attenuation due to scattering in broken floe fields

Cited by 7 publications

References 49 publications

Sum-frequency triad interactions among surface waves propagating through an ice sheet

Sum-frequency triad interactions among surface waves propagating through an ice sheet

Stereo Reconstruction Method for 3D Surface Wave Fields around a Floating Body Using a Marker Net in a Wave Tank

Two-Dimensional Wave Interaction with a Rigid Body Floating near the Marginal Ice Zone

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