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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…

Numerical simulations of geological CO2 storage in deep saline aquifers have demonstrated that vertical equilibrium (VE) models offer a robust and computationally efficient framework for reservoir optimization and upscaling. These studies…

Geophysics · Physics 2025-08-26 Kofi Ohemeng Kyei Prempeh , Pavel Bedrikovetsky , Rouhi Farajzadeh

In regions where ice sheets are increasing in mass, there is a 50-200 m layer of old snow called firn which does not melt in the summer months. The density of firn tracks the transformation of snow into glacial ice at approximately 917 kg…

Geophysics · Physics 2013-09-02 Evan Cummings , Jesse Johnson , Douglas Brinkerhoff

This work deals with numerical simulation of water freezing and thawing in a complex three-dimensional geometry of a porous medium. The porous structure is represented by a virtual container filled with glass beads. Phase transition…

Computational Physics · Physics 2024-07-23 Pavel Strachota

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

In this paper, we describe a mathematical model and a numerical simulation method for the condenser component of a novel two-phase thermosyphon cooling system for power electronics applications. The condenser consists of a set of…

Numerical Analysis · Mathematics 2015-06-19 Riccardo Sacco , Lucia Carichino , Carlo de Falco , Maurizio Verri , Francesco Agostini , Thomas Gradinger

Antarctic meltwater is expected to increase throughout the coming centuries and impact sea level, ocean circulation, and the coupled climate evolution. This motivates interest in understanding the ocean response to Antarctic freshwater…

Atmospheric and Oceanic Physics · Physics 2026-03-18 Rory Basinski-Ferris , Laure Zanna , Ian Eisenman

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

The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at the scale of a river basin (i.e. catchment). Coupled surface…

Fluid Dynamics · Physics 2023-12-29 Piotr Morawiecki , Philippe H. Trinh

Quantitative and realistic computer simulations of mass transfer associated with CO2 disposal in subsurface aquifers is a challenging endeavor. This article has proposed a novel and efficient multiscale modeling framework, and has examined…

Fluid Dynamics · Physics 2015-01-30 Jahrul M. Alam

Numerical modeling of the migration of three-phase immiscible fluid flow in variably saturated zones is challenging due to the different behavior of the system between unsaturated and saturated zones. This behavior results in the use of…

Fluid Dynamics · Physics 2022-04-27 Alessandra Feo , Fulvio Celico

Close to the triple point, the surface of ice is covered by a thin liquid layer (so-called quasi-liquid layer) which crucially impacts growth and melting rates. Experimental probes cannot observe the growth processes below this layer, and…

Chemical Physics · Physics 2021-01-22 David N. Sibley , Pablo Llombart , Eva G. Noya , Andrew J. Archer , Luis G. MacDowell

Working with a two-stage ice sheet model, we explore how statistical data assimilation methods can be used to improve predictions of glacier melt and relatedly, sea level rise. We find that the EnKF improves model runs initialized using…

Dynamical Systems · Mathematics 2023-05-23 Emily Corcoran , Logan Knudsen , Talea Mayo , Hannah Park-Kaufmann , Alexander Robel

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

We introduce a three-dimensional, computationally feasible, mesoscopic model for snow crystal growth, based on diffusion of vapor, anisotropic attachment, and a semi-liquid boundary layer. Several case studies are presented that faithfully…

Mathematical Physics · Physics 2007-11-27 Janko Gravner , David Griffeath

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

Machine-learning (ML) models, such as the AIFS at the ECMWF, have revolutionised weather forecasting in recent years. We present an extension of the AIFS that jointly models the atmosphere and surface ocean, including ocean waves and sea…

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 characterized the structural and dynamical properties of the quasi-liquid layer (QLL) at the surface of ice by molecular dynamics simulations with a thermodynamically consistent water model. Our simulations show that for three low-index…

Soft Condensed Matter · Physics 2018-12-03 Tanja Kling , Felix Kling , Davide Donadio

This study examines whether the dispersion of passive particles at the free surface of a generic (nonturbulent) shallow flow can reliably represent the behavior of depth-keeping particles below the surface. A shallow configuration…

Fluid Dynamics · Physics 2026-02-12 Lenin M. Flores Ramírez , Matias Duran-Matute , Herman J. H. Clercx
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