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Degrees of freedom in the marginal ice zone's wave--ice system

Presented by: 
Johannes E. M. Mosig
Friday 6th October 2017 - 13:30 to 14:15
INI Seminar Room 1
The marginal ice zones (MIZs) in both the Arctic and Southern Oceans play a key role in the Earth's climate system and the impact of sea ice on wave propagation is important to understand in order to create reliable wave forecasting models. To create efficient and accurate models of the MIZ's wave-ice system one must first identify the degrees of freedom that are relevant for such a model. In my PhD thesis and in this presentation, I will illuminate aspects of three commonly pursued paradigms: (i) floe models, where the degrees of freedom are comprised of individual ice floes; (ii) effective material models such as the one proposed by Wang and Shen (2010,; and (iii) energy transport models, where the relevant degree of freedom is a single scalar field—the wave intensity—defined over the horizontal ocean domain.  

Throughout this talk I will touch upon various mathematical and computational techniques which have very general applications, yet are rarely used by the wave and sea ice community.  Specifically, I use the method framework of generalized polynomial chaos to investigate the propagation of uncertainties in various models. Moreover, I attempt to derive an analytical relationship between local scale potential flow theory, and the large-scale transport equation description of the MIZ, using a multi-scale expansion and a Wigner transform of the amplitude envelope of a propagating wave package.  

Supervisors: Vernon A. Squire, Fabien Montiel Publications: Mosig et al., Comparison of viscoelastic-type models for ocean wave attenuation in ice-covered seas, 2015, Mosig et al., Water wave scattering from a mass loading ice floe of random length using generalised polynomial chaos,
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons