A two layer model for wave dissipation in sea ice |
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| Institution: | 1. Department of Mathematics, University of Oslo, Oslo, Norway;2. Norwegian Meteorological Institute, Oslo, Norway;3. Numerical Environmental Prediction Research, Environment and Climate Change Canada, Dorval, Québec, Canada;4. Department of Geosciences, University of Oslo, Oslo, Norway;1. Environmental Process Modelling Centre, NEWRI, Nanyang Technological University, Singapore;2. American Society for Engineering Education, DC, United States;3. U.S. Naval Research Laboratory, Stennis Space Center, MS, United States;4. School of Civil and Environmental Engineering, Nanyang Technological University, Singapore;5. Department of Infrastructure Engineering, University of Melbourne, VIC, Australia;1. School of Computing, Mathematics and Digital Technology, Manchester Metropolitan University, Chester Street, Manchester M1 5GD, UK;2. Department of Civil and Environmental Engineering, National University of Singapore, Kent Ridge, Singapore 117576, Singapore;3. Department of Civil, Environmental & Geomatic Engineering, University College London, Gower Street, London WC1E 6BT, UK;1. The University Centre in Svalbard, Longyearbyen, Norway;2. Univetrsity of Cambridge, Cambridge, UK;3. U.S. Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory, Duck, NC, USA;4. University of Oslo, Oslo, Norway;5. Gazprom VNIIGAZ LLC, Moscow, Russia |
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| Abstract: | Sea ice is highly complex due to the inhomogeneity of the physical properties (e.g. temperature and salinity) as well as the permeability and mixture of water and a matrix of sea ice and/or sea ice crystals. Such complexity has proven itself to be difficult to parameterize in operational wave models. Instead, we assume that there exists a self-similarity scaling law which captures the first order properties. Using dimensional analysis, an equation for the kinematic viscosity is derived, which is proportional to the wave frequency and the ice thickness squared. In addition, the model allows for a two-layer structure where the oscillating pressure gradient due to wave propagation only exists in a fraction of the total ice thickness. These two assumptions lead to a spatial dissipation rate that is a function of ice thickness and wavenumber. The derived dissipation rate compares favourably with available field and laboratory observations. |
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| Keywords: | Waves Sea ice Wave dissipation Wave-ice interaction |
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