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Flexure of Antarctic ice shelves under excitation from long ocean waves induces mechanical ice shelf stresses that amplify fractures and, hence, contribute to calving events. Here, a solution method is developed for a hydroelastic…

Fluid Dynamics · Physics 2026-05-22 T. K. Papathanasiou , L. G. Bennetts , M. H. Meylan

Hydroelastic interactions between regular water waves and floating freshwater ice are investigated using laboratory experiments for a range of incident wave periods and steepnesses. It is shown that only incident waves with sufficiently…

Atmospheric and Oceanic Physics · Physics 2018-10-17 Azam Dolatshah , Filippo Nelli , Luke G. Bennetts , Michael H. Meylan , Alberto Alberello , Jason Monty , Alessandro Toffoli

Irregular, unidirectional surface water waves incident on model ice in an ice tank are used as a physical model of ocean surface wave interactions with sea ice. Results are given for an experiment consisting of three tests, starting with a…

Oceanic wave propagation through Earth's sea ice covers is a critical component of accurate ice and climate modeling. Continuum models of the polar ocean surface layer are characterized rheologically by the effective complex viscoelasticity…

Geophysics · Physics 2024-12-03 C. Sampson , D. Hallman , N. B. Murphy , E. Cherkaev , K. M. Golden

Whilst climate change is transforming the Arctic into a navigable ocean where small ice floes are floating on the sea surface, the effect of such ice conditions on ship performance has yet to be understood. The present work combines a set…

Wave-sea ice interactions shape the transition zone between open ocean and pack ice in the polar regions. Most theoretical paradigms, implemented in coupled wave-sea ice models, predict exponential decay of the wave energy but some recent…

Atmospheric and Oceanic Physics · Physics 2026-03-09 Rhys Ransome , Davide Proment , Ian A. Renfrew , Alberto Alberello

The marginal ice zone is a highly dynamical region where sea ice and ocean waves interact. Large-scale sea ice models only compute domain-averaged responses. As the majority of the marginal ice zone consists of mobile ice floes surrounded…

This manuscript investigates the deformation of ice layers under a moving block, focusing on the theoretical framework and mathematical models that describe the mechanical and thermal properties of ice and its interaction with underlying…

Fluid Dynamics · Physics 2024-02-28 Denys Dutykh

A variational principle is proposed to derive the governing equations for the problem of ocean wave interactions with a floating ice shelf, where the ice shelf is modelled by the full linear equations of elasticity and has an Archimedean…

Geophysics · Physics 2023-09-06 Luke G Bennetts , Timothy D Williams , Richard Porter

The water impact of an inclined flat plate and at high horizontal velocity is experimentally investigated with focus on the fluid-structure interaction aspects. Several test conditions have been examined by varying the vertical to…

Fluid Dynamics · Physics 2021-05-17 Emanuele Spinosa , Alessandro Iafrati

We study a nonlinear, moving boundary fluid-structure interaction problem between an incompressible, viscous Newtonian fluid, modeled by the 2D Navier-Stokes equations, and an elastic structure modeled by the shell or plate equations. The…

Analysis of PDEs · Mathematics 2016-03-07 Boris Muha , Suncica Canic

The interaction between surface waves and sea ice involves many complex physical phenomena such as viscous damping, wave diffraction, and nonlinear effects. The combination of these phenomena, together with considerable variability in ice…

Atmospheric and Oceanic Physics · Physics 2020-03-06 Jean Rabault , Joey Voermans , Graig Sutherland , Atle Jensen , Alexander Babanin , Kirill Filchuk

Wrinkling instabilities of thin elastic sheets can be used to generate periodic structures over a wide range of length scales. Viscosity of the thin elastic sheet or its surrounding medium has been shown to be responsible for dynamic…

Soft Condensed Matter · Physics 2024-01-25 Veit Krause , Axel Voigt

This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling between fluid and the porous medium is described by the…

Analysis of PDEs · Mathematics 2025-01-17 Tim Binz , Matthias Hieber , Arnab Roy

We study the motion of a compressible heat-conducting fluid in three dimensions interacting with a non-linear flexible shell. The fluid is described by the full Navier--Stokes--Fourier system. The shell constitutes an unknown part of the…

Analysis of PDEs · Mathematics 2021-11-18 Dominic Breit , Sebastian Schwarzacher

We use tools from statistical physics to develop a stochastic theory for the drift of a single Arctic sea-ice floe. Floe-floe interactions are modelled using a Coulomb friction term, with any change in the thickness or the size of the ice…

Atmospheric and Oceanic Physics · Physics 2023-05-31 Srikanth Toppaladoddi

A wave-ice interaction model for the marginal ice zone (MIZ) is reported, which involves both the attenuation of ocean surface waves by sea ice and the concomitant breaking of the ice by waves. It is specifically designed to embed wave-ice…

Atmospheric and Oceanic Physics · Physics 2012-03-15 Timothy Williams , Luke Bennetts , Dany Dumont , Vernon Squire , Laurent Bertino

The transport of sea ice over the polar oceans plays an important role in climate. This transport is driven predominantly by turbulent winds, leading to stochastic motion of ice floes. Observed diffusivities and velocity distributions of…

Geophysics · Physics 2025-02-26 Bryan Shaddy , P. Alex Greaney , Bhargav Rallabandi

We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the…

Analysis of PDEs · Mathematics 2019-02-19 Yizhao Qin , Pengfei Yao

Variability in sea ice conditions, combined with strong couplings to the atmosphere and the ocean, lead to a broad range of complex sea ice dynamics. More in-situ measurements are needed to better identify the phenomena and mechanisms that…

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