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Sea ice profoundly influences the polar environment and the global climate. Traditionally, Sea ice has been modeled as a continuum under Eulerian coordinates to describe its large-scale features, using, for instance, viscous-plastic…

Numerical Analysis · Mathematics 2023-08-16 Quanling Deng , Samuel N. Stechmann , Nan Chen

We present a stable discretization of sea-ice dynamics on triangular grids that can straightforwardly be coupled to an ocean model on a triangular grid with Arakawa C-type staggering. The approach is based on a nonconforming finite element…

Numerical Analysis · Mathematics 2021-02-04 Carolin Mehlmann , Peter Korn

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

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and…

Numerical Analysis · Mathematics 2017-02-27 Boyce E. Griffith , Xiaoyu Luo

This report starts by describing the continuum model used by Lingle & Clark (1985) to approximate the deformation of the earth under changing ice sheet and ocean loads. That source considers a single ice stream, but we apply their…

Geophysics · Physics 2015-06-26 Ed Bueler , Craig S. Lingle , Jed A. Kallen-Brown

The discrete element method (DEM) can provide detailed descriptions of sea ice dynamics that explicitly model floes and discontinuities in the ice, which can be challenging to represent accurately with current models. However, floe-scale…

Geophysics · Physics 2022-07-13 Brendan West , Devin O'Connor , Matthew Parno , Max Krackow , Chris Polashenski

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

At near-grounded glacier termini, calving can lead to the capsize of kilometer-scale unstable icebergs. The transient contact force applied by the capsizing iceberg on the glacier front generates seismic waves that propagate over…

The full Stokes equations are solved by a finite element method for simulation of large ice sheets and glaciers. The simulation is particularly sensitive to the discretization of the grounding line which separates the ice resting on the…

Computational Physics · Physics 2019-08-30 Gong Cheng , Per Lötstedt , Lina von Sydow

In seasonally ice-covered seas and along the margins of perennial ice pack, i.e. in regions with medium ice concentrations, the ice cover typically consists of separate floes interacting with each other by inelastic collisions. In this…

Other Condensed Matter · Physics 2011-11-15 Agnieszka Herman

Hybrid particle-field methods are computationally efficient approaches for modelling soft matter systems. So far applications of these methodologies have been limited to constant volume conditions. Here, we reformulate particle-field…

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

We present a discrete element method (DEM) model to simulate the mechanical behavior of sea ice in response to ocean waves. The interaction of ocean waves and sea ice can potentially lead to the fracture and fragmentation of sea ice…

Computational Physics · Physics 2018-08-07 Zhijie Xu , Alexandre M. Tartakovsky , Wenxiao Pan

Particle-particle interactions in sedimenting systems have been investigated in the present study considering the many-body hydrodynamic and electrodynamic interactions. These interactions primarily occur in two modes: near-field and…

Fluid Dynamics · Physics 2016-05-04 Sagardip Majumder , Jayabrata Dhar , Suman Chakraborty

We consider the scientifically challenging and policy-relevant task of understanding the past and projecting the future dynamics of the Antarctic ice sheet. The Antarctic ice sheet has shown a highly nonlinear threshold response to past…

Applications · Statistics 2019-08-20 Ben Seiyon Lee , Murali Haran , Robert Fuller , David Pollard , Klaus Keller

The marginal ice zone (MIZ) represents the periphery of the sea ice cover. In this region, the macroscale behavior of the sea ice results from collisions and enduring contact between ice floes. This configuration closely resembles that of…

Fluid Dynamics · Physics 2024-10-25 Gonzalo G. de Diego , Mukund Gupta , Skylar A. Gering , Rohaiz Haris , Georg Stadler

Sea ice is crucial in many natural processes and human activities. Understanding the dynamical couplings between the inception, growth and equilibrium of sea ice and the rich fluid mechanical processes occurring at its interface and…

Fluid Dynamics · Physics 2023-04-14 Yihong Du , Ziqi Wang , Linfeng Jiang , Enrico Calzavarini , Chao Sun

It is well known that the classical energetically consistent micropolar model has limits in simulating the frequency band structure of packed granular materials (see Merkel et al., 2011). It is here shown that if a standard continualization…

Soft Condensed Matter · Physics 2021-04-27 Andrea Bacigalupo , Luigi Gambarotta

Coupled climate model simulations designed to isolate the effects of Arctic sea-ice loss often apply artificial heating, either directly to the ice or through modification of the surface albedo, to constrain sea-ice in the absence of other…

Atmospheric and Oceanic Physics · Physics 2024-03-22 Neil T. Lewis , Mark R. England , James A. Screen , Ruth Geen , Regan Mudhar , William J. M. Seviour , Stephen I. Thomson

In this manuscript, we consider a common modeling framework for Arctic landfast ice based on the work of Lemieux et al. [27], which is designed for use in large-scale climate models. This approach extends the classical viscous-plastic…

Analysis of PDEs · Mathematics 2026-04-28 Felix Brandt , Carolin Mehlmann
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