Numerical simulation of Rhonegletscher from 1874 to 2100

Jouvet, Guillaume; Huss, Matthias; Blatter, Heinz; Picasso, Marco; Rappaz, Jacques

doi:10.1016/j.jcp.2009.05.033

Cited by 94 publications

(104 citation statements)

References 25 publications

Supporting

Mentioning

100

Contrasting

Order By: Relevance

“…It has been successfully applied to different types of fluids (Maronnier et al, 2003) and was first employed by Jouvet et al (2008) to calculate glacier dynamics. Model application to Rhonegletscher is described in detail by Jouvet et al (2009). Mass conservation along the ice-air interface yields a transport equation which can be used to determine the evolution of glacier geometry.…”

Section: Ice Flow Modelmentioning

confidence: 99%

“…Mass conservation along the ice-air interface yields a transport equation which can be used to determine the evolution of glacier geometry. Given the initial shape of the 820 M. Huss et al: Parameterizing future glacier retreat ation of discharge from the Rhonegletscher catchment calculated using GERM using measurements glacier, the ice flow velocity u is obtained by solving a 3-D nonlinear Stokes problem derived from a regularized version of Glen's law with a temperature independent rate factor (Jouvet et al, 2008(Jouvet et al, , 2009. A nonlinear sliding law is prescribed along a given part of the ice-bedrock interface.…”

Section: Ice Flow Modelmentioning

confidence: 99%

“…surface mass balance) acting on the ice-air interface A . A decoupling algorithm allows the equations to be solved using different numerical techniques (Jouvet et al, 2009). The nonlinear Stokes problem is solved on a fixed, unstructured finite element mesh consisting of tetrahedrons, whereas the transport equation is solved using a fixed, regular grid of smaller cells.…”

Section: Ice Flow Modelmentioning

confidence: 99%

See 2 more Smart Citations

Future high-mountain hydrology: a new parameterization of glacier retreat

Huss

Jouvet

Farinotti

et al. 2010

Hydrol. Earth Syst. Sci.

242

222

View full text Add to dashboard Cite

Abstract. Global warming is expected to significantly affect the runoff regime of mountainous catchments. Simple methods for calculating future glacier change in hydrological models are required in order to reliably assess economic impacts of changes in the water cycle over the next decades. Models for temporal and spatial glacier evolution need to describe the climate forcing acting on the glacier, and ice flow dynamics. Flow models, however, demand considerable computational resources and field data input and are moreover not applicable on the regional scale. Here, we propose a simple parameterization for calculating the change in glacier surface elevation and area, which is mass conserving and suited for hydrological modelling. The h-parameterization is an empirical glacier-specific function derived from observations in the past that can easily be applied to large samples of glaciers. We compare the h-parameterization to results of a 3-D finite-element ice flow model. As case studies, the evolution of two Alpine glaciers of different size over the period 2008-2100 is investigated using regional climate scenarios. The parameterization closely reproduces the distributed ice thickness change, as well as glacier area and length predicted by the ice flow model. This indicates that for the purpose of transient runoff forecasts, future glacier geometry change can be approximated using a simple parameterization instead of complex ice flow modelling. Furthermore, we analyse alpine glacier response to 21st century climate change and consequent shifts in the runoff regime of a highly glacierized catchment using the proposed methods.

show abstract

Section: Ice Flow Modelmentioning

confidence: 99%

Section: Ice Flow Modelmentioning

confidence: 99%

Section: Ice Flow Modelmentioning

confidence: 99%

See 1 more Smart Citation

Future high-mountain hydrology: a new parameterization of glacier retreat

Huss

Jouvet

Farinotti

et al. 2010

Hydrol. Earth Syst. Sci.

242

222

View full text Add to dashboard Cite

show abstract

“…Threedimensional flow fields were computed diagnostically for the Gorshkov crater glacier, Kamchatka (Zwinger et al 2007), including thermomechanical coupling and firn, and prognostically for Midtre Lovénbreen, Svalbard (Zwinger and Moore 2009). A threedimensional full Stokes model coupled to a novel scheme for solving the transport equation with a volume of fluid method was applied to Alpine glaciers (Jouvet et al 2008;Jouvet et al 2009). The above models apply a finite element method on unstructured grids.…”

Section: Conclusion and Prospectsmentioning

confidence: 99%

Present State and Prospects of Ice Sheet and Glacier Modelling

Blatter¹,

Greve²,

Abe‐Ouchi³

2011

The Earth's Cryosphere and Sea Level Change

Self Cite

View full text Add to dashboard Cite

Since the late 1970s, numerical modelling has become established as an important technique for the understanding of ice sheet and glacier dynamics, and several models have been developed over the years. Ice sheet models are particularly relevant for predicting the possible response of ice sheets to climate change. Recent observations suggest that ice dynamics could play a crucial role for the contribution of ice sheets to future sea level rise under global warming conditions, and the need for further research into the matter was explicitly stated in the Fourth Assessment Report (AR4) of the United Nations Intergovernmental Panel on Climate Change (IPCC). In this paper, we review the state of the art and current problems of ice sheet and glacier modelling. An outline of the underlying theory is given, and crucial processes (basal sliding, calving, interaction with the solid Earth) are discussed. We summarise recent progress in the development of ice sheet and glacier system models and their coupling to climate models, and point out directions for future work.

show abstract

“…Their main differences lie in the approximations used in the force balance or Stokes equation. The most comprehensive Full-Stokes (FS) models solve the force balance equation without further simplifications to the underlying continuum mechanics (Zwinger et al, 2007;Hindmarsh, 2004;Jouvet et al, 2009). Although they fully capture the deformational dynamics of ice sheets, their applicability is strongly restricted by computational limitations.…”

Section: Introductionmentioning

confidence: 99%

Improved convergence and stability properties in a three-dimensional higher-order ice sheet model

et al. 2011

View full text Add to dashboard Cite

Abstract. We present a finite difference implementation of a three-dimensional higher-order ice sheet model. In comparison to a conventional centred difference discretisation it enhances both numerical stability and convergence. In order to achieve these benefits the discretisation of the governing force balance equation makes extensive use of information on staggered grid points. Using the same iterative solver, a centred difference discretisation that operates exclusively on the regular grid serves as a reference. The reprise of the ISMIP-HOM experiments indicates that both discretisations are capable of reproducing the higher-order model inter-comparison results. This setup allows a direct comparison of the two numerical implementations also with respect to their convergence behaviour. First and foremost, the new finite difference scheme facilitates convergence by a factor of up to 7 and 2.6 in average. In addition to this decrease in computational costs, the accuracy for the resultant velocity field can be chosen higher in the novel finite difference implementation. Changing the discretisation also prevents build-up of local field irregularites that occasionally cause divergence of the solution for the reference discretisation.The improved behaviour makes the new discretisation more reliable for extensive application to real ice geometries. Higher accuracy and robust numerics are crucial in time dependent applications since numerical oscillations in the velocity field of subsequent time steps are attenuated and divergence of the solution is prevented.

show abstract

Numerical simulation of Rhonegletscher from 1874 to 2100

Cited by 94 publications

References 25 publications

Future high-mountain hydrology: a new parameterization of glacier retreat

Future high-mountain hydrology: a new parameterization of glacier retreat

Present State and Prospects of Ice Sheet and Glacier Modelling

Improved convergence and stability properties in a three-dimensional higher-order ice sheet model

Contact Info

Product

Resources

About