Mathematical features of Hibler's model of large-scale sea-ice dynamics

Kleine, Eckhard; Sklyar, S. N.

doi:10.1007/bf02736204

Cited by 9 publications

(5 citation statements)

References 37 publications

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“…The mixing scheme applied is based on the kÁw turbulence model (Umlauf et al, 2003;Berg, 2012). The model also includes a simplified sea ice module treating both the dynamics and thermodynamics (Kleine and Sklyar, 1995).…”

Section: The Regional Ocean Modelmentioning

confidence: 99%

Resolved complex coastlines and land–sea contrasts in a high-resolution regional climate model: a comparative study using prescribed and modelled SSTs

Tian¹,

Boberg²,

Christensen³

et al. 2013

Tellus A: Dynamic Meteorology and Oceanography

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A B S T R A C TWe configured a coupled model system, comprising a regional climate model (RCM) and a regional ocean model, for the North Sea and Baltic Sea region at 6 nm resolution. A two-way nested fine-grid (1 nm) ocean domain is for the first time included for the Danish coastal waters in coupled RCMs to resolve the water exchange between the two regional seas. Here, we (1) assess the sensitivity of the near-surface atmosphere to prescribed sea surface temperatures (SSTs) from the European Centre for Medium-Range Weather Forecasts (ECMWF) ERA-Interim (ERAI) reanalysis and those modelled by the coupled system, and (2) examine different ocean responses in coarse and fine grids to atmospheric forcing. The experiments were performed covering the years 1990Á2010, both using ERAI lateral boundary conditions. ERAI SSTs generally agree well with satellite SSTs in summer with differences within 18C, but the ERAI overestimates the ice extent by 72% in winter due to the coarse resolution in the Baltic Sea. The atmosphere in the Baltic landÁsea transition was more sensitive to high-resolution modelled SSTs with a significant improvement in winter, but it also provided a cold bias in summer as a combination of errors from both atmospheric and ocean models. Overall, the coupled simulation without observational constraints showed only minor deviations in the airÁsea interface in the Baltic coastal region compared to the prescribed simulation, with seasonal mean differences within 28C in 2 m air temperatures and 18C in SSTs. An exception was in the Danish water, where the fine-grid ocean model yielded a better agreement with SST measurements and showed a smaller difference between the two simulations than the coarse-grid ocean model did. In turn, the modification on the atmosphere induced by modelled SSTs was negligible. The atmosphericÁoceanÁice model in this configuration was found capable of reproducing the observed interannual variability of SST and ice extent in the Baltic Sea as well as the monthly extreme wind speeds and sea levels on a local scale for Denmark during the period 1990Á2010. This article provides the first results in an attempt to resolve the Danish coasts with this accuracy in an RCM as a first step towards a fully coupled system for the region of interest.

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Section: The Regional Ocean Modelmentioning

confidence: 99%

Resolved complex coastlines and land–sea contrasts in a high-resolution regional climate model: a comparative study using prescribed and modelled SSTs

Tian¹,

Boberg²,

Christensen³

et al. 2013

Tellus A: Dynamic Meteorology and Oceanography

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“…Freezing and melting of ice have also notable effects on the stratification of the Baltic Sea water masses. In recent years, several ice models and coupled ice-ocean models of the Baltic Sea have been developed (Omstedt and Nyberg 1996;Haapala and Leppäranta 1996;Kleine and Skylar 1995).…”

Section: ) Atmosphere-ocean-ice Modeling Withmentioning

confidence: 99%

The Baltic Sea Experiment (BALTEX): A European Contribution to the Investigation of the Energy and Water Cycle over a Large Drainage Basin

Raschke¹,

Meywerk²,

Warrach³

et al. 2001

Bull. Amer. Meteor. Soc.

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The Baltic Sea Experiment (BALTEX) is one of the five continental-scale experiments of the Global Energy and Water Cycle Experiment (GEWEX). More than 50 research groups from 14 European countries are participating in this project to measure and model the energy and water cycle over the large drainage basin of the Baltic Sea in northern Europe. BALTEX aims to provide a better understanding of the processes of the climate system and to improve and to validate the water cycle in regional numerical models for weather forecasting and climate studies. A major effort is undertaken to couple interactively the atmosphere with the vegetated continental surfaces and the Baltic Sea including its sea ice. The intensive observational and modeling phase BRIDGE, which is a contribution to the Coordinated Enhanced Observing Period of GEWEX, will provide enhanced datasets for the period October 1999-February 2002 to validate numerical models and satellite products. Major achievements have been obtained in an improved understanding of related exchange processes. For the first time an interactive atmosphere-ocean-land surface model for the Baltic Sea was tested. This paper reports on major activities and some results.

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“…These models adopt a smeared approach in which an area with heterogeneous ice characteristics (fractures, leads, open water and different ice types) is modelled as a single homogeneous material with averaged properties, and in which ice-ocean interactions are parameterised [9]. The dynamics is governed by the momentum balance equation and two continuity equations controlling ice thickness and concentration, accounting for deformation and growth-related effects [10]. However, sea ice deformation cannot be exclusively described by a viscous-plastic rheology as sea ice drift on the scale of less than 10 km is only accurate to a certain extent and fails to reproduce sea ice deformation at finer scales [11,12].…”

Section: Introductionmentioning

confidence: 99%

A Computational Fluid Dynamics Model for the Small-Scale Dynamics of Wave, Ice Floe and Interstitial Grease Ice Interaction

Marquart

Bogaers

Skatulla

et al. 2021

Fluids

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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 by grease ice, finer-scale modelling is needed to resolve variations of its mechanical properties, wave-induced pressure gradients and drag forces acting on the ice floes. A novel computational fluid dynamics approach is presented that considers the heterogeneous sea ice material composition and accounts for the wave-ice interaction dynamics. Results show, after comparing three realistic sea ice layouts with similar concentration and floe diameter, that the discrepancy between the domain-averaged temporal stress and strain rate evolutions increases for decreasing wave period. Furthermore, strain rate and viscosity are mostly affected by the variability of ice floe shape and diameter.

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Mathematical features of Hibler's model of large-scale sea-ice dynamics

Cited by 9 publications

References 37 publications

Resolved complex coastlines and land–sea contrasts in a high-resolution regional climate model: a comparative study using prescribed and modelled SSTs

Resolved complex coastlines and land–sea contrasts in a high-resolution regional climate model: a comparative study using prescribed and modelled SSTs

The Baltic Sea Experiment (BALTEX): A European Contribution to the Investigation of the Energy and Water Cycle over a Large Drainage Basin

A Computational Fluid Dynamics Model for the Small-Scale Dynamics of Wave, Ice Floe and Interstitial Grease Ice Interaction

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