Scattering kernel of an array of floating ice floes:application to water wave transport in the marginal ice zone
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 th...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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Main Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
2024
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Subjects: | |
Online Access: | https://researchers.mq.edu.au/en/publications/a0cea58a-fde4-448c-9bca-f306e3dd0fe6 https://doi.org/10.1098/rspa.2023.0633 http://www.scopus.com/inward/record.url?scp=85184006791&partnerID=8YFLogxK http://purl.org/au-research/grants/arc/DP220102243 |
Summary: | 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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