Performance analysis of high-resolution ice-sheet simulations

Numerical glacier and ice-sheet models compute evolving ice geometry and velocity fields using various stress-balance approximations and boundary conditions. At high spatial resolution, with horizontal mesh/grid resolutions of a few kilometers or smaller, these models usually require time steps shor...

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Main Author: Ed Bueler
Format: Article
Language:English
Published: Cambridge University Press 2023-08-01
Series:Journal of Glaciology
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S0022143022001137/type/journal_article
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author Ed Bueler
author_facet Ed Bueler
author_sort Ed Bueler
collection DOAJ
description Numerical glacier and ice-sheet models compute evolving ice geometry and velocity fields using various stress-balance approximations and boundary conditions. At high spatial resolution, with horizontal mesh/grid resolutions of a few kilometers or smaller, these models usually require time steps shorter than climate-coupling time scales because they update ice thickness after each velocity solution. High-resolution performance is degraded by the stability restrictions of such explicit time-stepping. This short note, which considers the shallow ice approximation and Stokes models as stress-balance end members, clarifies the scaling of numerical model performance by quantifying simulation cost per model year in terms of mesh resolution and the number of degrees of freedom. The performance of current-generation explicit time-stepping models is assessed, and then compared to the prospective performance of implicit schemes. The main results highlight the key roles played by the algorithmic scaling of stress-balance solvers and coupled, implicit-step solvers.
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spelling doaj.art-2fb1f68be37f445da3ab3cf226b62eb32023-07-28T10:47:45ZengCambridge University PressJournal of Glaciology0022-14301727-56522023-08-016993093510.1017/jog.2022.113Performance analysis of high-resolution ice-sheet simulationsEd Bueler0https://orcid.org/0000-0001-8232-4145Department of Mathematics and Statistics, University of Alaska Fairbanks, Fairbanks, USANumerical glacier and ice-sheet models compute evolving ice geometry and velocity fields using various stress-balance approximations and boundary conditions. At high spatial resolution, with horizontal mesh/grid resolutions of a few kilometers or smaller, these models usually require time steps shorter than climate-coupling time scales because they update ice thickness after each velocity solution. High-resolution performance is degraded by the stability restrictions of such explicit time-stepping. This short note, which considers the shallow ice approximation and Stokes models as stress-balance end members, clarifies the scaling of numerical model performance by quantifying simulation cost per model year in terms of mesh resolution and the number of degrees of freedom. The performance of current-generation explicit time-stepping models is assessed, and then compared to the prospective performance of implicit schemes. The main results highlight the key roles played by the algorithmic scaling of stress-balance solvers and coupled, implicit-step solvers.https://www.cambridge.org/core/product/identifier/S0022143022001137/type/journal_articleGlacier flowglacier modelingice-sheet modeling
spellingShingle Ed Bueler
Performance analysis of high-resolution ice-sheet simulations
Journal of Glaciology
Glacier flow
glacier modeling
ice-sheet modeling
title Performance analysis of high-resolution ice-sheet simulations
title_full Performance analysis of high-resolution ice-sheet simulations
title_fullStr Performance analysis of high-resolution ice-sheet simulations
title_full_unstemmed Performance analysis of high-resolution ice-sheet simulations
title_short Performance analysis of high-resolution ice-sheet simulations
title_sort performance analysis of high resolution ice sheet simulations
topic Glacier flow
glacier modeling
ice-sheet modeling
url https://www.cambridge.org/core/product/identifier/S0022143022001137/type/journal_article
work_keys_str_mv AT edbueler performanceanalysisofhighresolutionicesheetsimulations