Numerical Modeling of Ice Sheet Dynamics
Title: Numerical modeling of ice sheet dynamics Author: Ondřej Souček Department: Department of Geophysics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: Prof. RNDr. Zdeněk Martinec, DrSc. Supervisor's e-mail address: zdenek@cp.dias.ie Abstract: The main topic of...
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ftunivpraha:oai:https://dspace.cuni.cz:20.500.11956/25546 2023-08-20T04:02:24+02:00 Numerical Modeling of Ice Sheet Dynamics Numerické modelování dynamiky pevninských ledovců Souček, Ondřej Martinec, Zdeněk Málek, Josef Ivins, Erik R. 2010 application/pdf https://hdl.handle.net/20.500.11956/25546 English en_US eng Univerzita Karlova, Matematicko-fyzikální fakulta http://hdl.handle.net/20.500.11956/25546 43591 001424958 990014249580106986 dizertační práce 2010 ftunivpraha https://doi.org/20.500.11956/25546 2023-08-01T20:32:41Z Title: Numerical modeling of ice sheet dynamics Author: Ondřej Souček Department: Department of Geophysics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: Prof. RNDr. Zdeněk Martinec, DrSc. Supervisor's e-mail address: zdenek@cp.dias.ie Abstract: The main topic of the presented thesis is the numerical modeling of large-scale ice-sheet evo- lution over several glacial cycles. For this purpose a "Shallow Ice Approximation" (SIA) is traditionally adopted, a scaling approximation utilizing the fact that the vertical-to-horizontal aspect ratio in ice sheets is typically a small parameter allowing for a perturbation expansion of the governing equations with respect to this parameter. We present a formulation of the boundary value problem for a polythermal ice sheet based on the rational thermodynamics of mixtures and derive its "shallow-ice" form. We then provide a novel SIA-I algorithm for iterative improvement of the SIA and thoroughly test its performance in a series of benchmarks including the ISMIP-HOM benchmark and a realistic simulation for the Dronning Maud Land region, Antarctica. The SIA-I algorithm is implemented to an evolutionary thermo-mechanical numerical ice-sheet model and this model is tested in the SIA regime in two EISMINT benchmarks, EISMINT - Effect of. Title: Numerical modeling of ice sheet dynamics Author: Ondřej Souček Department: Department of Geophysics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: Prof. RNDr. Zdeněk Martinec, DrSc. Supervisor's e-mail address: zdenek@cp.dias.ie Abstract: The main topic of the presented thesis is the numerical modeling of large-scale ice-sheet evo- lution over several glacial cycles. For this purpose a "Shallow Ice Approximation" (SIA) is traditionally adopted, a scaling approximation utilizing the fact that the vertical-to-horizontal aspect ratio in ice sheets is typically a small parameter allowing for a perturbation expansion of the governing equations with respect to this parameter. We ... Thesis Antarc* Antarctica Dronning Maud Land Ice Sheet Charles University CU Digital repository Dronning Maud Land |
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Charles University CU Digital repository |
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English |
description |
Title: Numerical modeling of ice sheet dynamics Author: Ondřej Souček Department: Department of Geophysics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: Prof. RNDr. Zdeněk Martinec, DrSc. Supervisor's e-mail address: zdenek@cp.dias.ie Abstract: The main topic of the presented thesis is the numerical modeling of large-scale ice-sheet evo- lution over several glacial cycles. For this purpose a "Shallow Ice Approximation" (SIA) is traditionally adopted, a scaling approximation utilizing the fact that the vertical-to-horizontal aspect ratio in ice sheets is typically a small parameter allowing for a perturbation expansion of the governing equations with respect to this parameter. We present a formulation of the boundary value problem for a polythermal ice sheet based on the rational thermodynamics of mixtures and derive its "shallow-ice" form. We then provide a novel SIA-I algorithm for iterative improvement of the SIA and thoroughly test its performance in a series of benchmarks including the ISMIP-HOM benchmark and a realistic simulation for the Dronning Maud Land region, Antarctica. The SIA-I algorithm is implemented to an evolutionary thermo-mechanical numerical ice-sheet model and this model is tested in the SIA regime in two EISMINT benchmarks, EISMINT - Effect of. Title: Numerical modeling of ice sheet dynamics Author: Ondřej Souček Department: Department of Geophysics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: Prof. RNDr. Zdeněk Martinec, DrSc. Supervisor's e-mail address: zdenek@cp.dias.ie Abstract: The main topic of the presented thesis is the numerical modeling of large-scale ice-sheet evo- lution over several glacial cycles. For this purpose a "Shallow Ice Approximation" (SIA) is traditionally adopted, a scaling approximation utilizing the fact that the vertical-to-horizontal aspect ratio in ice sheets is typically a small parameter allowing for a perturbation expansion of the governing equations with respect to this parameter. We ... |
author2 |
Martinec, Zdeněk Málek, Josef Ivins, Erik R. |
format |
Thesis |
author |
Souček, Ondřej |
spellingShingle |
Souček, Ondřej Numerical Modeling of Ice Sheet Dynamics |
author_facet |
Souček, Ondřej |
author_sort |
Souček, Ondřej |
title |
Numerical Modeling of Ice Sheet Dynamics |
title_short |
Numerical Modeling of Ice Sheet Dynamics |
title_full |
Numerical Modeling of Ice Sheet Dynamics |
title_fullStr |
Numerical Modeling of Ice Sheet Dynamics |
title_full_unstemmed |
Numerical Modeling of Ice Sheet Dynamics |
title_sort |
numerical modeling of ice sheet dynamics |
publisher |
Univerzita Karlova, Matematicko-fyzikální fakulta |
publishDate |
2010 |
url |
https://hdl.handle.net/20.500.11956/25546 |
geographic |
Dronning Maud Land |
geographic_facet |
Dronning Maud Land |
genre |
Antarc* Antarctica Dronning Maud Land Ice Sheet |
genre_facet |
Antarc* Antarctica Dronning Maud Land Ice Sheet |
op_relation |
http://hdl.handle.net/20.500.11956/25546 43591 001424958 990014249580106986 |
op_doi |
https://doi.org/20.500.11956/25546 |
_version_ |
1774712828117123072 |