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Title: Adaptive mesh refinement versus subgrid friction interpolation in simulations of Antarctic ice dynamics

Abstract

At least in conventional hydrostatic ice-sheet models, the numerical error associated with grounding line dynamics can be reduced by modifications to the discretization scheme. These involve altering the integration formulae for the basal traction and/or driving stress close to the grounding line and exhibit lower – if still first-order – error in the MISMIP3d experiments. MISMIP3d may not represent the variety of real ice streams, in that it lacks strong lateral stresses, and imposes a large basal traction at the grounding line. We study resolution sensitivity in the context of extreme forcing simulations of the entire Antarctic ice sheet, using the BISICLES adaptive mesh ice-sheet model with two schemes: the original treatment, and a scheme, which modifies the discretization of the basal traction. The second scheme does indeed improve accuracy – by around a factor of two – for a given mesh spacing, but $$\lesssim 1$$ km resolution is still necessary. For example, in coarser resolution simulations Thwaites Glacier retreats so slowly that other ice streams divert its trunk. In contrast, with $$\lesssim 1$$ km meshes, the same glacier retreats far more quickly and triggers the final phase of West Antarctic collapse a century before any such diversion can take place.

Authors:
 [1];  [2];  [1];  [1];  [2]
  1. Univ. of Bristol, Bristol (United Kingdom)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1378355
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Annals of Glaciology
Additional Journal Information:
Journal Volume: 57; Journal Issue: 73; Journal ID: ISSN 0260-3055
Publisher:
International Glaciological Society
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; ice dynamics; ice streams; ice-sheet modelling

Citation Formats

Cornford, S. L., Martin, D. F., Lee, V., Payne, A. J., and Ng, E. G. Adaptive mesh refinement versus subgrid friction interpolation in simulations of Antarctic ice dynamics. United States: N. p., 2016. Web. doi:10.1017/aog.2016.13.
Cornford, S. L., Martin, D. F., Lee, V., Payne, A. J., & Ng, E. G. Adaptive mesh refinement versus subgrid friction interpolation in simulations of Antarctic ice dynamics. United States. https://doi.org/10.1017/aog.2016.13
Cornford, S. L., Martin, D. F., Lee, V., Payne, A. J., and Ng, E. G. Fri . "Adaptive mesh refinement versus subgrid friction interpolation in simulations of Antarctic ice dynamics". United States. https://doi.org/10.1017/aog.2016.13. https://www.osti.gov/servlets/purl/1378355.
@article{osti_1378355,
title = {Adaptive mesh refinement versus subgrid friction interpolation in simulations of Antarctic ice dynamics},
author = {Cornford, S. L. and Martin, D. F. and Lee, V. and Payne, A. J. and Ng, E. G.},
abstractNote = {At least in conventional hydrostatic ice-sheet models, the numerical error associated with grounding line dynamics can be reduced by modifications to the discretization scheme. These involve altering the integration formulae for the basal traction and/or driving stress close to the grounding line and exhibit lower – if still first-order – error in the MISMIP3d experiments. MISMIP3d may not represent the variety of real ice streams, in that it lacks strong lateral stresses, and imposes a large basal traction at the grounding line. We study resolution sensitivity in the context of extreme forcing simulations of the entire Antarctic ice sheet, using the BISICLES adaptive mesh ice-sheet model with two schemes: the original treatment, and a scheme, which modifies the discretization of the basal traction. The second scheme does indeed improve accuracy – by around a factor of two – for a given mesh spacing, but $\lesssim 1$ km resolution is still necessary. For example, in coarser resolution simulations Thwaites Glacier retreats so slowly that other ice streams divert its trunk. In contrast, with $\lesssim 1$ km meshes, the same glacier retreats far more quickly and triggers the final phase of West Antarctic collapse a century before any such diversion can take place.},
doi = {10.1017/aog.2016.13},
journal = {Annals of Glaciology},
number = 73,
volume = 57,
place = {United States},
year = {Fri May 13 00:00:00 EDT 2016},
month = {Fri May 13 00:00:00 EDT 2016}
}

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Cited by: 35 works
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Works referenced in this record:

Hydrostatic grounding line parameterization in ice sheet models
journal, January 2014


Bedmap2: improved ice bed, surface and thickness datasets for Antarctica
journal, January 2013

  • Fretwell, P.; Pritchard, H. D.; Vaughan, D. G.
  • The Cryosphere, Vol. 7, Issue 1
  • DOI: 10.5194/tc-7-375-2013

Ice-Shelf Melting Around Antarctica
journal, June 2013


Grounding-line migration in plan-view marine ice-sheet models: results of the ice2sea MISMIP3d intercomparison
journal, January 2013

  • Pattyn, Frank; Perichon, Laura; Durand, Gaël
  • Journal of Glaciology, Vol. 59, Issue 215
  • DOI: 10.3189/2013JoG12J129

The multi-millennial Antarctic commitment to future sea-level rise
journal, October 2015

  • Golledge, N. R.; Kowalewski, D. E.; Naish, T. R.
  • Nature, Vol. 526, Issue 7573
  • DOI: 10.1038/nature15706

Antarctic snow accumulation mapped using polarization of 4.3-cm wavelength microwave emission
journal, January 2006

  • Arthern, Robert J.; Winebrenner, Dale P.; Vaughan, David G.
  • Journal of Geophysical Research, Vol. 111, Issue D6
  • DOI: 10.1029/2004JD005667

Modelling West Antarctic ice sheet growth and collapse through the past five million years
journal, March 2009


Thin-Film Flows with Wall Slip: An Asymptotic Analysis of Higher Order Glacier Flow Models
journal, January 2010

  • Schoof, C.; Hindmarsh, R. C. A.
  • The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 63, Issue 1
  • DOI: 10.1093/qjmam/hbp025

Sensitivity of 21st century sea level to ocean-induced thinning of Pine Island Glacier, Antarctica: OCEAN-INDUCED THINNING OF PI GLACIER
journal, October 2010

  • Joughin, Ian; Smith, Benjamin E.; Holland, David M.
  • Geophysical Research Letters, Vol. 37, Issue 20
  • DOI: 10.1029/2010GL044819

Antarctic subglacial conditions inferred from a hybrid ice sheet/ice stream model
journal, July 2010


Widespread, rapid grounding line retreat of Pine Island, Thwaites, Smith, and Kohler glaciers, West Antarctica, from 1992 to 2011
journal, May 2014

  • Rignot, E.; Mouginot, J.; Morlighem, M.
  • Geophysical Research Letters, Vol. 41, Issue 10
  • DOI: 10.1002/2014GL060140

Reducing uncertainties in projections of Antarctic ice mass loss
journal, January 2015


Parameterization of basal friction near grounding lines in a one-dimensional ice sheet model
journal, January 2014

  • Leguy, G. R.; Asay-Davis, X. S.; Lipscomb, W. H.
  • The Cryosphere, Vol. 8, Issue 4
  • DOI: 10.5194/tc-8-1239-2014

Marine Ice Sheet Collapse Potentially Under Way for the Thwaites Glacier Basin, West Antarctica
journal, May 2014


Parameterising the grounding line in flow-line ice sheet models
journal, January 2010

  • Gladstone, R. M.; Payne, A. J.; Cornford, S. L.
  • The Cryosphere, Vol. 4, Issue 4
  • DOI: 10.5194/tc-4-605-2010

Ice Flow of the Antarctic Ice Sheet
journal, August 2011


The effect of cavitation on glacier sliding
journal, March 2005

  • Schoof, Christian
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 461, Issue 2055
  • DOI: 10.1098/rspa.2004.1350

Calving fluxes and basal melt rates of Antarctic ice shelves
journal, September 2013

  • Depoorter, M. A.; Bamber, J. L.; Griggs, J. A.
  • Nature, Vol. 502, Issue 7469
  • DOI: 10.1038/nature12567

Adaptive mesh, finite volume modeling of marine ice sheets
journal, January 2013

  • Cornford, Stephen L.; Martin, Daniel F.; Graves, Daniel T.
  • Journal of Computational Physics, Vol. 232, Issue 1
  • DOI: 10.1016/j.jcp.2012.08.037

Retreat of Pine Island Glacier controlled by marine ice-sheet instability
journal, January 2014

  • Favier, L.; Durand, G.; Cornford, S. L.
  • Nature Climate Change, Vol. 4, Issue 2
  • DOI: 10.1038/nclimate2094

Century-scale simulations of the response of the West Antarctic Ice Sheet to a warming climate
journal, January 2015


Grounding line movement and ice shelf buttressing in marine ice sheets
journal, January 2009

  • Goldberg, D.; Holland, D. M.; Schoof, C.
  • Journal of Geophysical Research, Vol. 114, Issue F4
  • DOI: 10.1029/2008JF001227

On the Sliding of Glaciers
journal, January 1957


Works referencing / citing this record:

Marine ice sheet instability and ice shelf buttressing of the Minch Ice Stream, northwest Scotland
journal, January 2018


Assessing Uncertainty in the Dynamical Ice Response to Ocean Warming in the Amundsen Sea Embayment, West Antarctica
journal, October 2019

  • Nias, Isabel J.; Cornford, Stephen L.; Edwards, Tamsin L.
  • Geophysical Research Letters, Vol. 46, Issue 20
  • DOI: 10.1029/2019gl084941

initMIP-Antarctica: an ice sheet model initialization experiment of ISMIP6
journal, January 2019


Data assimilation for moving mesh methods with an application to ice sheet modelling
posted_content, September 2016

  • Bonan, Bertrand; Nichols, Nancy K.; Baines, Michael J.
  • Nonlinear Processes in Geophysics Discussions
  • DOI: 10.5194/npg-2016-45

Data assimilation for moving mesh methods with an application to ice sheet modelling
journal, January 2017

  • Bonan, Bertrand; Nichols, Nancy K.; Baines, Michael J.
  • Nonlinear Processes in Geophysics, Vol. 24, Issue 3
  • DOI: 10.5194/npg-24-515-2017

High climate model dependency of Pliocene Antarctic ice-sheet predictions
journal, July 2018


High climate model dependency of Pliocene Antarctic ice-sheet predictions
journal, July 2018


Uncertainty quantification of the multi-centennial response of the Antarctic ice sheet to climate change
journal, January 2019


Representation of basal melting at the grounding line in ice flow models
journal, January 2018


Glacial-cycle simulations of the Antarctic Ice Sheet with the Parallel Ice Sheet Model (PISM) – Part 1: Boundary conditions and climatic forcing
journal, January 2020

  • Albrecht, Torsten; Winkelmann, Ricarda; Levermann, Anders
  • The Cryosphere, Vol. 14, Issue 2
  • DOI: 10.5194/tc-14-599-2020

Millennial‐Scale Vulnerability of the Antarctic Ice Sheet to Regional Ice Shelf Collapse
journal, February 2019

  • Martin, Daniel F.; Cornford, Stephen L.; Payne, Antony J.
  • Geophysical Research Letters, Vol. 46, Issue 3
  • DOI: 10.1029/2018gl081229

An algorithmic framework for the optimization of computationally expensive bi-fidelity black-box problems
journal, June 2019


Grounding-line flux formula applied as a flux condition in numerical simulations fails for buttressed Antarctic ice streams
journal, January 2018

  • Reese, Ronja; Winkelmann, Ricarda; Gudmundsson, G. Hilmar
  • The Cryosphere, Vol. 12, Issue 10
  • DOI: 10.5194/tc-12-3229-2018

Dynamic response of Antarctic Peninsula Ice Sheet to potential collapse of Larsen C and George VI ice shelves
journal, January 2018

  • Schannwell, Clemens; Cornford, Stephen; Pollard, David
  • The Cryosphere, Vol. 12, Issue 7
  • DOI: 10.5194/tc-12-2307-2018