09 Jun 2022
09 Jun 2022
Status: this preprint is currently under review for the journal TC.

A Collection of Wet Beam Models for Wave-Ice Interaction

Sasan Tavakoli1,2 and Alexander Babanin1 Sasan Tavakoli and Alexander Babanin
  • 1Department of Infrastructure Engineering, The University of Melbourne, Parkville, 3051, VIC, Australia
  • 2Department of Mechanical Engineering, Aalto University, Espoo, Finland

Abstract. Theoretical models for the prediction of decay rate and dispersion process of gravity waves traveling into an integrated ice cover are introduced. The term “wet beam”  is chosen to refer to these models as they are developed by incorporating water-based radiation forces, including heave damping and added mass, which are absent in most conventional models. Presented wet beam models differ from each other according to the rheological behavior considered for the ice cover. Two-parameter viscoelastic solid models accommodating Kelvin-Voigt (KV) and Maxwell mechanisms along with a one-parameter elastic solid model are used to describe the rheological behavior of the ice layer. Quantitative comparison between the landfast ice field data and model predictions suggests that wet beam models, adopted with both KV and Maxwell mechanisms, predict the decay rate more accurately compared to a dry beam model. Furthermore, the wet beam models, adopted with both KV and Maxwell mechanisms, are found to construct decay rates of disintegrated ice fields, though they are built for a continuous ice field. Finally, it is found that wet beam models can accurately construct decay rate curves of freshwater ice, though they cannot predict the dispersion process of waves accurately. To overcome this limitation, three-parameter solid models, termed Standard Linear Solid (SLS) mechanisms, are suggested to be used to re-formulate the dispersion relationship of wet beam models, which were seen to construct decay rates and dispersion curves of freshwater ice with an acceptable level of accuracy. Overall, the two-parameters wet beam dispersion relationships presented in this research are observed to predict decay rates and dispersion process of waves travelling into actual ice covers, though three-parameter wet beam models were seen to reconstruct the those of freshwater ice formed in a wave flume.

Sasan Tavakoli and Alexander Babanin

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on tc-2022-75', Anonymous Referee #1, 16 Jul 2022
  • RC2: 'Comment on tc-2022-75', Anonymous Referee #2, 26 Jul 2022

Sasan Tavakoli and Alexander Babanin

Sasan Tavakoli and Alexander Babanin


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Short summary
We have tried to develop some new wave-ice interaction models by consideration of some processes that are formulated in ship science. We have checked the ability of the models in the reconstruction of wave-ice interaction stepwisely. The accuracy level of the models is reasonable, and it will be interesting to check whether they can be used in climate models or not.