A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model
Numerical simulations of ice sheets rely on the momentum balance to determine how ice velocities change as the geometry of the system evolves. Ice is generally assumed to follow a Stokes flow with a nonlinear viscosity. Several approximations have been proposed in order to lower the computational co...
Published in: | The Cryosphere |
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Copernicus Publications
2022
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00059951 2024-09-15T18:39:00+00:00 A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model Dias dos Santos, Thiago Morlighem, Mathieu Brinkerhoff, Douglas 2022-01 electronic https://doi.org/10.5194/tc-16-179-2022 https://noa.gwlb.de/receive/cop_mods_00059951 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00059600/tc-16-179-2022.pdf https://tc.copernicus.org/articles/16/179/2022/tc-16-179-2022.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-16-179-2022 https://noa.gwlb.de/receive/cop_mods_00059951 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00059600/tc-16-179-2022.pdf https://tc.copernicus.org/articles/16/179/2022/tc-16-179-2022.pdf https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess article Verlagsveröffentlichung article Text doc-type:article 2022 ftnonlinearchiv https://doi.org/10.5194/tc-16-179-2022 2024-06-26T04:34:57Z Numerical simulations of ice sheets rely on the momentum balance to determine how ice velocities change as the geometry of the system evolves. Ice is generally assumed to follow a Stokes flow with a nonlinear viscosity. Several approximations have been proposed in order to lower the computational cost of a full-Stokes stress balance. A popular option is the Blatter–Pattyn or higher-order model (HO), which consists of a three-dimensional set of equations that solves the horizontal velocities only. However, it still remains computationally expensive for long transient simulations. Here we present a depth-integrated formulation of the HO model, which can be solved on a two-dimensional mesh in the horizontal plane. We employ a specific polynomial function to describe the vertical variation in the velocity, which allows us to integrate the vertical dimension using a semi-analytic integration. We assess the performance of this MOno-Layer Higher-Order (MOLHO) model to compute ice velocities and simulate grounding line dynamics on standard benchmarks (ISMIP-HOM and MISMIP3D). We compare MOLHO results to the ones obtained with the original three-dimensional HO model. We also compare the time performance of both models in time-dependent runs. Our results show that the ice velocities and grounding line positions obtained with MOLHO are in very good agreement with the ones from HO. In terms of computing time, MOLHO requires less than 10 % of the computational time of a typical HO model, for the same simulations. These results suggest that the MOno-Layer Higher-Order formulation provides improved computational time performance and a comparable accuracy compared to the HO formulation, which opens the door to higher-order paleo simulations. Article in Journal/Newspaper The Cryosphere Niedersächsisches Online-Archiv NOA The Cryosphere 16 1 179 195 |
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Niedersächsisches Online-Archiv NOA |
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English |
topic |
article Verlagsveröffentlichung |
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article Verlagsveröffentlichung Dias dos Santos, Thiago Morlighem, Mathieu Brinkerhoff, Douglas A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model |
topic_facet |
article Verlagsveröffentlichung |
description |
Numerical simulations of ice sheets rely on the momentum balance to determine how ice velocities change as the geometry of the system evolves. Ice is generally assumed to follow a Stokes flow with a nonlinear viscosity. Several approximations have been proposed in order to lower the computational cost of a full-Stokes stress balance. A popular option is the Blatter–Pattyn or higher-order model (HO), which consists of a three-dimensional set of equations that solves the horizontal velocities only. However, it still remains computationally expensive for long transient simulations. Here we present a depth-integrated formulation of the HO model, which can be solved on a two-dimensional mesh in the horizontal plane. We employ a specific polynomial function to describe the vertical variation in the velocity, which allows us to integrate the vertical dimension using a semi-analytic integration. We assess the performance of this MOno-Layer Higher-Order (MOLHO) model to compute ice velocities and simulate grounding line dynamics on standard benchmarks (ISMIP-HOM and MISMIP3D). We compare MOLHO results to the ones obtained with the original three-dimensional HO model. We also compare the time performance of both models in time-dependent runs. Our results show that the ice velocities and grounding line positions obtained with MOLHO are in very good agreement with the ones from HO. In terms of computing time, MOLHO requires less than 10 % of the computational time of a typical HO model, for the same simulations. These results suggest that the MOno-Layer Higher-Order formulation provides improved computational time performance and a comparable accuracy compared to the HO formulation, which opens the door to higher-order paleo simulations. |
format |
Article in Journal/Newspaper |
author |
Dias dos Santos, Thiago Morlighem, Mathieu Brinkerhoff, Douglas |
author_facet |
Dias dos Santos, Thiago Morlighem, Mathieu Brinkerhoff, Douglas |
author_sort |
Dias dos Santos, Thiago |
title |
A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model |
title_short |
A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model |
title_full |
A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model |
title_fullStr |
A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model |
title_full_unstemmed |
A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model |
title_sort |
new vertically integrated mono-layer higher-order (molho) ice flow model |
publisher |
Copernicus Publications |
publishDate |
2022 |
url |
https://doi.org/10.5194/tc-16-179-2022 https://noa.gwlb.de/receive/cop_mods_00059951 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00059600/tc-16-179-2022.pdf https://tc.copernicus.org/articles/16/179/2022/tc-16-179-2022.pdf |
genre |
The Cryosphere |
genre_facet |
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-16-179-2022 https://noa.gwlb.de/receive/cop_mods_00059951 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00059600/tc-16-179-2022.pdf https://tc.copernicus.org/articles/16/179/2022/tc-16-179-2022.pdf |
op_rights |
https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/tc-16-179-2022 |
container_title |
The Cryosphere |
container_volume |
16 |
container_issue |
1 |
container_start_page |
179 |
op_container_end_page |
195 |
_version_ |
1810483390753800192 |