Diffusion of gravity waves by random space inhomogeneities in pancake-ice fields. Theory and validation with wave buoys and synthetic aperture radar

Olla, Piero; Carolis, Giacomo De; Santi, Francesca De

doi:10.1063/5.0061374

Cited by 6 publications

(2 citation statements)

References 50 publications

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“…Therefore, it is unclear from Liu et al's results whether the roll-over effect is an intrinsic feature of their thin-plate viscoelastic model or is simply an artifact of their observational procedure. Based on a linear analysis for potential flow, Olla et al [33] argued that inhomogeneities in the ice cover at scales comparable to the wavelength significantly increase diffusion, producing a contribution to wave attenuation similar to what is observed in the ocean and usually explained by viscous effects. The resulting attenuation spectrum is characterized by a peak at the scale of these inhomogeneities, which could explain the roll-over at short wavelengths as reported by field experiments.…”

Section: Comparison With Field Observationsmentioning

confidence: 97%

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

Xu,

Guyenne

2022

Preprint

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Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full time-dependent equations for nonlinear potential flow coupled with a nonlinear thin-plate representation of the ice cover, and neglects dissipative processes. The two-dimensional setting with incident wave groups on deep water is considered, in view of applications to wave attenuation along transects of the marginal ice zone. A spatially-varying weight is assigned to the surface pressure so that irregular distributions of ice floes can be directly specified in the physical domain. For various wave regimes and floe configurations, a local wave spectrum across the ice field is computed and then least-squares fitted to extract a spatial attenuation rate as a function of wave frequency. A general increase with frequency is found, consistent with typical predictions from linear theory. However, a non-monotonic behavior around a certain frequency is also observed, especially in cases with a highly fragmented ice cover. Comparison to field data shows that this result closely resembles the roll-over phenomenon as reported from Arctic Ocean experiments. The key role played by nonlinear interactions in the roll-over development is highlighted.

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Section: Comparison With Field Observationsmentioning

confidence: 97%

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

Xu,

Guyenne

2022

Preprint

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“…It was first developed in the context of light scattering through clouds or dust [53] and has since been extended to a range of disciplines concerned with wave scattering in random media. A heuristic derivation of the radiative transfer equation for the propagation of ocean waves through a random collection of floating ice floes was given in [54][55][56][57] and implemented in WW3 in [58,59]. The central quantity in RTT is the socalled scattering kernel, which represents the directional redistribution of wave energy across the various angular components of the wave spectrum, as a consequence of wave scattering by the random medium.…”

Section: Introductionmentioning

confidence: 99%

Scattering kernel of an array of floating ice floes: application to water wave transport in the marginal ice zone

Montiel,

Meylan,

Hawkins

2024

Proc. R. Soc. A.

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A radiative transfer model of water wave scattering in the marginal ice zone is considered. In this context, wave energy redistribution across the directional components of the spectrum as a result of scattering by the constituent ice floes is typically modelled via a scattering kernel describing the far-field directionality of the scattered wave field produced by a single floe in isolation. Recognizing the potential importance of the floe size distribution (FSD) on wave scattering, we propose an enhanced scattering kernel constructed from the far-field scattering pattern of a circular array of floes. This is achieved by solving the self-consistent multiple scattering of a time-harmonic plane wave by a large array of floating circular floes with radii sampled from a prescribed FSD. A fast multipole method is implemented to accelerate the numerical estimation of the solution. Simulations are then conducted to characterize the properties of the scattering kernel for a range of configurations. It is found that the scattering kernel obtained for a wide array has a large, narrow transmission peak in the forward direction, while it uniformizes low-amplitude scattered waves in other directions. An idealized application to radiative transfer theory is also considered.

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

Guyenne

2023

Ocean Modelling

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Diffusion of gravity waves by random space inhomogeneities in pancake-ice fields. Theory and validation with wave buoys and synthetic aperture radar

Cited by 6 publications

References 50 publications

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

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

Scattering kernel of an array of floating ice floes: application to water wave transport in the marginal ice zone

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

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