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Observations show the multidimensional dynamics of meltwater and distribution of ice layers in the firn on the Greenland Ice Sheet. However, state-of-the-art large-scale models for firn hydrology are essentially one-dimensional, limiting…

The upper $100 \, \mathrm{m}$ to $150 \, \mathrm{m}$ of the polar ice sheet, called the firn, has a time-dependent density due to seasonal variations in the surface temperature and snow accumulation. We present RF simulations of an in-ice…

High Energy Astrophysical Phenomena · Physics 2026-02-18 Alexander Kyriacou , Steven Prohira , Dave Besson

Surface meltwater from glaciers and ice sheets contributes significantly to sea-level rise, yet the processes governing its transport and retention within cold firn remain poorly constrained, particularly in multiple dimensions. Here we…

Fluid Dynamics · Physics 2026-04-01 Mohammad Afzal Shadab , Howard A. Stone , Reed M. Maxwell

Motivated by the refreezing of melt water in firn we revisit the one-dimensional percolation of liquid water and non-reactive gas in porous ice. We analyze the dynamics of infiltration in the absence of capillary forces and heat conduction…

Fluid Dynamics · Physics 2025-08-06 Mohammad Afzal Shadab , Anja Rutishauser , Cyril Grima , Marc Andre Hesse

Ice-infiltrated sediment, known as a frozen fringe, leads to phenomena such as frost heave, ice lenses, and meters of debris-rich ice under glaciers. Understanding the dynamics of frozen fringe development is important as frost heave is…

Fluid Dynamics · Physics 2021-09-28 Colin R. Meyer , Christian Schoof , Alan W. Rempel

One of the most challenging and consequential problems in climate modeling is to provide probabilistic projections of sea level rise. A large part of the uncertainty of sea level projections is due to uncertainty in ice sheet dynamics. At…

Computational Physics · Physics 2023-01-30 QiZhi He , Mauro Perego , Amanda A. Howard , George Em Karniadakis , Panos Stinis

This manuscript is a collection of problems and solutions related to modeling the cryosphere using the finite element software FEniCS. Included is an introduction to the finite element method; solutions to a variety of problems in one, two,…

Geophysics · Physics 2016-09-16 Evan M. Cummings

Convective flows coupled with solidification or melting in water bodies play a major role in shaping geophysical landscapes. Particularly in relation to the global climate warming scenario, it is essential to be able to accurately quantify…

Fluid Dynamics · Physics 2021-03-11 Ziqi Wang , Enrico Calzavarini , Chao Sun , Federico Toschi

Snow is a porous disordered medium consisting of air and three water phases: ice, vapour and liquid. The ice phase consists of an assemblage of grains, ice matrix, initially arranged over a random load bearing skeleton. The quantitative…

Statistical Mechanics · Physics 2010-12-22 Anna Carbone , Bernardino M. Chiaia , Barbara Frigo , Christian Turk

Pound for pound, sea ice is the most important component of Earth's climate system. The changing conditions in which sea ice forms and exists are likely to affect the properties of sea ice itself, and potential climate feedbacks need to be…

Atmospheric and Oceanic Physics · Physics 2023-10-12 Kial Stewart , William Palm , Callum Shakespeare , Noa Kraitzman

The formation of ice in the atmosphere affects precipitation and cloud properties, and plays a key role in the climate of our planet. Although ice can form directly from liquid water at deeply supercooled conditions, the presence of foreign…

The microstructure of snow determines its fundamental properties such as the mechanical strength, reflectivity, or the thermo-hydraulic properties. Snow undergoes continuous microstructural changes due to local gradients in temperature,…

Fluid Dynamics · Physics 2024-08-01 Adrian Moure , Xiaojing Fu

The weathering crust is a layer of porous ice that can form at the surface of an ice sheet. It grows and decays in response changing weather and climate conditions, affecting the albedo, the melt rate, and the transport of meltwater across…

Geophysics · Physics 2024-05-06 Tilly Woods , Ian J. Hewitt

In engineering applications snow often undergoes large and fast deformations. During these deformations the snow transforms from a sintered porous material into a granular material. In order to capture the fundamental mechanical behavior of…

Geophysics · Physics 2020-07-06 Thiemo Theile , Denes Szabo , Carolin Willibald , Martin Schneebeli

We derive a thermodynamically consistent model for phase change in sea ice by adding salt to the framework introduced by Penrose and Fife. Taking the salt entropy relative to the liquid water molar fraction provides a transparent mechanism…

Dynamical Systems · Mathematics 2021-09-09 Noa Kraitzman , Keith Promislow , Brian Wetton

Frost growth on cold surfaces is a transient process with coupled heat and mass transfer. Due to multiple factors such as humidity, temperature, flow velocity and constantly changing thermal properties as frost grows, precise prediction can…

Fluid Dynamics · Physics 2021-03-05 Shantanu Shahane , Yuchen Shen , Sophie Wang

Water ice plays a crucial role throughout the different stages of planetary evolution and is abundant in the Universe. However, its presence and nature in debris discs of exoplanetary systems are not yet strongly established…

Earth and Planetary Astrophysics · Physics 2024-08-07 Minjae Kim , Grant M. Kennedy , Veronica Roccatagliata

Orbital forcing plays a key role in pacing the glacial-interglacial cycles. However, the mechanistic linkages between the orbital parameters - eccentricity, obliquity, and precession - and global ice volume remain unclear. Here, we…

Geophysics · Physics 2023-12-05 Liam Wheen , Oscar Benjamin , Thomas Gernon , Cameron Hall , Jerry Wright

Rapid changes in Earth's cryosphere caused by human activity can lead to significant environmental impacts. Computer models provide a useful tool for understanding the behavior and projecting the future of Arctic and Antarctic ice sheets.…

Methodology · Statistics 2019-08-01 Won Chang , Bledar A. Konomi , Georgios Karagiannis , Yawen Guan , Murali Haran

We describe a comprehensive model for the formation and morphological development of atmospheric ice crystals growing from water vapor, also known as snow crystals. Our model derives in part from empirical measurements of the intrinsic ice…

Materials Science · Physics 2012-11-26 Kenneth G. Libbrecht
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