A transport equation for flexural-gravity wave propagation under a sea ice cover of variable thickness

Mosig, Johannes E. M.; Montiel, Fabien; Squire, Vernon A.

doi:10.1016/j.wavemoti.2019.03.010

Cited by 10 publications

(5 citation statements)

References 23 publications

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“…Most models focus on investigating the dynamics of the interaction between ice and waves in the boundary zones where permanent ice is converted into drifting ice. Researchers [1] distinguish three main classes of models: ice floe models, effective medium models, and transport equation models.…”

Section: Resultsmentioning

confidence: 99%

Development of models of ice interaction with waves and structures

Kantardgi,

Afonyushkin

2023

E3S Web Conf.

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Mathematical models used to study the interaction of sea ice with ocean waves and hydraulic structures are analyzed. Works focusing on general and specific scenarios of this interaction are reviewed. General scenarios include wave-ice interactions with a focus on various prevailing physical and mechanical processes, while specific scenarios include ice-structure interactions. The specific scenarios within the framework of this work include changes in ice pressure as the ice field thickens between the offshore platform supports, the effect of seasonal variations on the resulting ice load, and ice floe bending failure using the Hoek-Brown model. Based on the results obtained, a classification of existing models was developed according to modeling methods, details of accounting for various natural phenomena, complexity of use, and predictive accuracy. For each model in the classification, advantages and disadvantages were identified, and recommendations for their improvement for further application in scientific research and practical calculations were proposed.

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Section: Resultsmentioning

confidence: 99%

Development of models of ice interaction with waves and structures

Kantardgi,

Afonyushkin

2023

E3S Web Conf.

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“…the assumption that Kfalse(θ,θ′false)=Kfalse(θ−θ′false), which treats incident and scattered waves identically [70]. In fact, the RTM for wave transport in the MIZ has not been formally derived from a phase-resolving wave propagation model, with the exception of Mosig et al [71] in a very special, non-realistic setting (one horizontal dimension). Applications of the RTM in spectral wave models such as WW3 therefore need careful considerations regarding its validity.…”

Section: Discussionmentioning

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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“…D. Williams et al, 2013aT. D. Williams et al, , 2013bMosig et al, 2019), a Boltzmanninteraction term (Meylan et al, 1997;Meylan & Masson, 2006;Meylan et al, 2020) or a diffusion term (X. Zhao & Shen, 2016).…”

Section: Attenuation Dissipation and Scattering By Sea Icementioning

confidence: 99%

Closing the loops on Southern Ocean dynamics: From the circumpolar current to ice shelves and from bottom mixing to surface waves

Bennetts,

Shakespeare,

Vreugdenhil

et al. 2024

Preprint

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A holistic review is given of the Southern Ocean dynamic system, in the context of the crucial role it plays in the global climate and the profound changes it is experiencing. The review focuses on connections between different components of the Southern Ocean dynamic system, drawing together contemporary perspectives from different research communities, with the objective of “closing loops” in our understanding of the complex network of feedbacks in the overall system. The review is targeted at researchers in Southern Ocean physical science with the ambition of broadening their knowledge beyond their specific field and facilitating better-informed interdisciplinary collaborations. For the purposes of this review, the Southern Ocean dynamic system is divided into four main components: large-scale circulation; cryosphere; turbulence; and gravity waves. Overviews are given of the key dynamical phenomena for each component, before describing the linkages between the components. The reviews are complemented by an overview of observed Southern Ocean trends and future climate projections. Priority research areas are identified to close remaining loops in our understanding of the Southern Ocean system.

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A transport equation for flexural-gravity wave propagation under a sea ice cover of variable thickness

Cited by 10 publications

References 23 publications

Development of models of ice interaction with waves and structures

Development of models of ice interaction with waves and structures

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

Closing the loops on Southern Ocean dynamics: From the circumpolar current to ice shelves and from bottom mixing to surface waves

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