- Title
- Scattering kernel of an array of floating ice floes: application to water wave transport in the marginal ice zone
- Creator
- Montiel, F.; Meylan, M. H.; Hawkins, S. C.
- Relation
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Vol. 480, Issue 2282, no. 20230633
- Publisher Link
- http://dx.doi.org/10.1098/rspa.2023.0633
- Publisher
- Royal Society Publishing
- Resource Type
- journal article
- Date
- 2024
- Description
- 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.
- Subject
- ocean waves; sea ice; multiple scattering; radiative transfer theory; multipole method
- Identifier
- http://hdl.handle.net/1959.13/1499459
- Identifier
- uon:54691
- Identifier
- ISSN:1364-5021
- Language
- eng
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