A fresh look at how ocean waves and sea ice interact
Open Access
- 20 August 2018
- journal article
- research article
- Published by The Royal Society in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 376 (2129), 20170342
- https://doi.org/10.1098/rsta.2017.0342
Abstract
Because of their capacity to alter floe size distribution and concentration and consequently to influence atmosphere-ocean fluxes, there is a compelling justification and demand to include waves in ice/ocean models and earth system models. Similarly, global wave forecasting models like WAVEWATCH III® need better parametrizations to capture the effects of a sea ice cover such as the marginal ice zone on incoming wave energy. Most parametrizations of wave propagation in sea ice assume without question that the frequency-dependent attenuation which is observed to occur with distance x travelled is exponential, i.e. A = A0 e−αx. This is the solution of the simple first-order linear ordinary differential equation dA/dx = − αA, which follows from an Airy wave mode ansatz . Yet, in point of fact, it now appears that exponential decay may not be observed consistently and a more general equation of the type dA/dx = − αAn is proposed to allow for a broader range of attenuation behaviours should this be necessary to fit data. This article is part of the theme issue ‘Modelling of sea-ice phenomena’.Funding Information
- ONR Departmental Research Initiative (N00014-131-0279)
- EU FP7 (SPA-2013.1.1-06)
- EPSRC (EP/K032208/1)
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