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Type: Journal article
Title: The decay of flexural-gravity waves in long sea-ice transects
Author: Vaughan, G.
Bennetts, L.
Squire, V.
Citation: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009; 465(2109):2785-2812
Publisher: Royal Soc London
Issue Date: 2009
ISSN: 1364-5021
Statement of
Gareth L. Vaughan, Luke G. Bennetts and Vernon A. Squire
Abstract: Flexural oscillations of floating sea ice sheets induced by ocean waves travelling at the boundary between the ice and the water below can propagate great distances. But, by virtue of scattering, changes of ice thickness and other properties encountered during the journey affect their passage, notwithstanding attenuation arising from several other naturally occurring agencies. We describe here a two-dimensional model that can simulate wave scattering by long (approx. 50 km) stretches of inelastic sea ice, the goal being to replicate heterogeneity accurately while also assimilating supplementary processes that lead to energy loss in sea ice at scales that are amenable to experimental validation. In work concerned with scattering from solitary or juxtaposed stylized features in the sea ice canopy, reflection and transmission coefficients are commonly used to quantify scattering, but on this occasion, we use the attenuation coefficient as we consider that it provides a more helpful description when dealing with long sequences of adjoining scatterers. Results show that scattering and viscosity both induce exponential decay and we observe three distinct regimes: (i) low period, where scattering dominates, (ii) high period, where viscosity dominates, and (iii) a transition regime. Each regime’s period range depends on the sea ice properties including viscosity, which must be included for the correct identification of decay rate.
Keywords: flexural-gravity waves
sea ice
long transects
Rights: © 2009 The Royal Society
DOI: 10.1098/rspa.2009.0187
Appears in Collections:Aurora harvest
Mathematical Sciences publications

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