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The selection of topics in this text has formed the core of a one semester course in applied mathematics at the Arctic University of Norway that has been running continuously since the 1970s. The class has, during its existence, drawn…

History and Overview · Mathematics 2019-04-17 Per Kristen Jakobsen

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

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…

Ocean surface waves can propagate long distances through regions containing floating ice covers. The impacts ocean waves have on the ice covers are of interest in the climate change era, as the polar regions experience pressure from rising…

Atmospheric and Oceanic Physics · Physics 2025-05-27 Luke G Bennetts

Waves play an essential role in many aspects of plasma science, such as plasma manipulation and diagnostics. Due to the complexity of the governing equations, approximate models are often necessary to describe wave dynamics. In this…

Plasma Physics · Physics 2017-08-21 D. E. Ruiz

The results of field work on drift ice during wave propagation are analyzed and presented. The field work was performed in the Barents Sea, and the main focus of the paper is on wave processes in the MIZ. A model of wave damping in broken…

Atmospheric and Oceanic Physics · Physics 2019-07-04 Aleksey Marchenko , Peter Wadhams , Clarence O Collins , Jean Rabault , Mikhail Chumakov

With global warming, the ice-covered areas in the Arctic are being transformed into open water. This provides increased impetus for extensive maritime activities and attracts research interests in sea ice modelling. In the polar region, ice…

Fluid Dynamics · Physics 2020-08-03 Luofeng Huang , Kang Ren , Minghao Li , Željko Tuković , Philip Cardiff , Giles Thomas

The workshop `Astrophysical Dynamics 1999/2000' followed a homonymous advanced research course, and both activities were organized by me. In this opening paper of the proceedings book, I describe them and document their strong impact on the…

Physics Education · Physics 2016-09-08 Alessandro B. Romeo

In this manuscript we perform an extensive numerical study of the long wave interaction problem with a fixed partially immersed body into a fluid layer. The incident wave is assumed to be an isolated solitary wave. The body in this study is…

Fluid Dynamics · Physics 2022-04-19 Gayaz Khakimzyanov , Denys Dutykh , Oleg Gusev

With the excitement generated by this year's Nobel Prize in physics, here I give a brief critical review of current vortex dynamics research activity, using a recent book as the background material. Two directions in which major progresses…

Superconductivity · Physics 2007-05-23 P. Ao

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…

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…

An experimental model of reflection and transmission of ocean waves by an ice floe is presented. Evolution of mechanically-generated, regular waves is monitored in front and in the lee of a solitary, square floe, made of a synthetic…

Waves can drastically transform a sea ice cover by inducing break-up over vast distances in the course of a few hours. However, relatively few detailed studies have described this phenomenon in a quantitative manner, and the process of sea…

Atmospheric and Oceanic Physics · Physics 2020-12-01 J. J. Voermans , J. Rabault , K. Filchuk , I. Ryzhov , P. Heil , A. Marchenko , C. Collins , M. Dabboor , G. Sutherland , A. V. Babanin

This paper presents a new method allowing for a numerical study of the interaction between a submerged solid structure and a current with surface waves. The method involves a Navier-Stokes equation solver for a two-fluid formulation with…

Fluid Dynamics · Physics 2022-09-01 Wojciech Aniszewski , Valentin Ageorges , Gaele Perret , Vincent Moureau

A modified version of the wave-ice interaction model proposed by Williams et al (2013a,b) is presented for an idealised transect geometry. Wave attenuation due to ice floes and wave-induced ice fracture are both included in the wave-ice…

Atmospheric and Oceanic Physics · Physics 2015-06-19 Luke Bennetts , Siobhan O'Farrell , Petteri Uotila , Vernon Squire

Several phenomena are known to attenuate waves in the marginal ice zone, such as wave scattering due to ice floes, viscous dissipation inside the ice and energy dissipation caused by ice floe interactions. Our aim of this study is to…

Fluid Dynamics · Physics 2021-04-07 Trygve K. Løken , Aleksey Marchenko , Thea J. Ellevold , Jean Rabault , Atle Jensen

The recent work of Dafydd and Porter [2024] on the attenuation of waves propagating through floating broken ice of random thickness is extended to consider water of non-shallow depth. A theoretical model of broken floating ice is analysed…

Atmospheric and Oceanic Physics · Physics 2026-03-05 Lloyd Dafydd , Richard Porter

Experiments investigating the attenuation and dispersion of surface waves in a variety of ice covers are performed using a refrigerated wave flume. The ice conditions tested in the experiments cover naturally occurring combinations of…

Atmospheric and Oceanic Physics · Physics 2019-02-15 L. J. Yiew , S. M. Parra , D. Wang , D. K. K. Sree , A. V. Babanin , A. W. -K. Law
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