Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments
The viscous–plastic (VP) rheology with an elliptical yield curve and normal flow rule is implemented in a Lagrangian modelling framework using the smoothed particle hydrodynamics (SPH) meshfree method. Results show, from a perturbation analysis of SPH sea-ice dynamic equations, that the classical SP...
Published in: | The Cryosphere |
---|---|
Main Authors: | , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Copernicus Publications
2024
|
Subjects: | |
Online Access: | https://doi.org/10.5194/tc-18-1013-2024 https://noa.gwlb.de/receive/cop_mods_00072088 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00070317/tc-18-1013-2024.pdf https://tc.copernicus.org/articles/18/1013/2024/tc-18-1013-2024.pdf |
id |
ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00072088 |
---|---|
record_format |
openpolar |
spelling |
ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00072088 2024-04-14T08:08:23+00:00 Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments Marquis, Oreste Tremblay, Bruno Lemieux, Jean-François Islam, Mohammed 2024-03 electronic https://doi.org/10.5194/tc-18-1013-2024 https://noa.gwlb.de/receive/cop_mods_00072088 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00070317/tc-18-1013-2024.pdf https://tc.copernicus.org/articles/18/1013/2024/tc-18-1013-2024.pdf eng eng Copernicus Publications The Cryosphere -- ˜Theœ Cryosphere -- http://www.bibliothek.uni-regensburg.de/ezeit/?2393169 -- http://www.the-cryosphere.net/ -- 1994-0424 https://doi.org/10.5194/tc-18-1013-2024 https://noa.gwlb.de/receive/cop_mods_00072088 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00070317/tc-18-1013-2024.pdf https://tc.copernicus.org/articles/18/1013/2024/tc-18-1013-2024.pdf https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess article Verlagsveröffentlichung article Text doc-type:article 2024 ftnonlinearchiv https://doi.org/10.5194/tc-18-1013-2024 2024-03-19T12:18:16Z The viscous–plastic (VP) rheology with an elliptical yield curve and normal flow rule is implemented in a Lagrangian modelling framework using the smoothed particle hydrodynamics (SPH) meshfree method. Results show, from a perturbation analysis of SPH sea-ice dynamic equations, that the classical SPH particle density formulation expressed as a function of sea-ice concentration and mean ice thickness leads to incorrect plastic wave speed. We propose a new formulation for particle density that gives a plastic wave speed in line with theory. In all cases, the plastic wave in the SPH framework is dispersive and depends on the smoothing length (i.e., the spatial resolution) and on the SPH kernel employed in contrast to its finite-difference method (FDM) implementation counterpart. The steady-state solution for the simple 1D ridging experiment is in agreement with the analytical solution within an error of 1 %. SPH is also able to simulate a stable upstream ice arch in an idealized domain representing the Nares Strait in a low-wind regime (5.3 m s−1) with an ellipse aspect ratio of 2, an average thickness of 1 m and free-slip boundary conditions in opposition to the FDM implementation that requires higher shear strength to simulate it. In higher-wind regimes (7.5 m s−1) no stable ice arches are simulated – unless the thickness is increased – and the ice arch formation showed no dependence on the size of particles, in contrast to what is observed in the discrete-element framework. Finally, the SPH framework is explicit, can take full advantage of parallel processing capabilities and shows potential for pan-Arctic climate simulations. Article in Journal/Newspaper Arctic Nares strait Sea ice The Cryosphere Niedersächsisches Online-Archiv NOA Arctic Nares ENVELOPE(158.167,158.167,-81.450,-81.450) The Cryosphere 18 3 1013 1032 |
institution |
Open Polar |
collection |
Niedersächsisches Online-Archiv NOA |
op_collection_id |
ftnonlinearchiv |
language |
English |
topic |
article Verlagsveröffentlichung |
spellingShingle |
article Verlagsveröffentlichung Marquis, Oreste Tremblay, Bruno Lemieux, Jean-François Islam, Mohammed Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments |
topic_facet |
article Verlagsveröffentlichung |
description |
The viscous–plastic (VP) rheology with an elliptical yield curve and normal flow rule is implemented in a Lagrangian modelling framework using the smoothed particle hydrodynamics (SPH) meshfree method. Results show, from a perturbation analysis of SPH sea-ice dynamic equations, that the classical SPH particle density formulation expressed as a function of sea-ice concentration and mean ice thickness leads to incorrect plastic wave speed. We propose a new formulation for particle density that gives a plastic wave speed in line with theory. In all cases, the plastic wave in the SPH framework is dispersive and depends on the smoothing length (i.e., the spatial resolution) and on the SPH kernel employed in contrast to its finite-difference method (FDM) implementation counterpart. The steady-state solution for the simple 1D ridging experiment is in agreement with the analytical solution within an error of 1 %. SPH is also able to simulate a stable upstream ice arch in an idealized domain representing the Nares Strait in a low-wind regime (5.3 m s−1) with an ellipse aspect ratio of 2, an average thickness of 1 m and free-slip boundary conditions in opposition to the FDM implementation that requires higher shear strength to simulate it. In higher-wind regimes (7.5 m s−1) no stable ice arches are simulated – unless the thickness is increased – and the ice arch formation showed no dependence on the size of particles, in contrast to what is observed in the discrete-element framework. Finally, the SPH framework is explicit, can take full advantage of parallel processing capabilities and shows potential for pan-Arctic climate simulations. |
format |
Article in Journal/Newspaper |
author |
Marquis, Oreste Tremblay, Bruno Lemieux, Jean-François Islam, Mohammed |
author_facet |
Marquis, Oreste Tremblay, Bruno Lemieux, Jean-François Islam, Mohammed |
author_sort |
Marquis, Oreste |
title |
Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments |
title_short |
Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments |
title_full |
Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments |
title_fullStr |
Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments |
title_full_unstemmed |
Smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments |
title_sort |
smoothed particle hydrodynamics implementation of the standard viscous–plastic sea-ice model and validation in simple idealized experiments |
publisher |
Copernicus Publications |
publishDate |
2024 |
url |
https://doi.org/10.5194/tc-18-1013-2024 https://noa.gwlb.de/receive/cop_mods_00072088 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00070317/tc-18-1013-2024.pdf https://tc.copernicus.org/articles/18/1013/2024/tc-18-1013-2024.pdf |
long_lat |
ENVELOPE(158.167,158.167,-81.450,-81.450) |
geographic |
Arctic Nares |
geographic_facet |
Arctic Nares |
genre |
Arctic Nares strait Sea ice The Cryosphere |
genre_facet |
Arctic Nares strait Sea ice The Cryosphere |
op_relation |
The Cryosphere -- ˜Theœ Cryosphere -- http://www.bibliothek.uni-regensburg.de/ezeit/?2393169 -- http://www.the-cryosphere.net/ -- 1994-0424 https://doi.org/10.5194/tc-18-1013-2024 https://noa.gwlb.de/receive/cop_mods_00072088 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00070317/tc-18-1013-2024.pdf https://tc.copernicus.org/articles/18/1013/2024/tc-18-1013-2024.pdf |
op_rights |
https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/tc-18-1013-2024 |
container_title |
The Cryosphere |
container_volume |
18 |
container_issue |
3 |
container_start_page |
1013 |
op_container_end_page |
1032 |
_version_ |
1796305819925479424 |