An adaptive Newton multigrid method for a model of marine ice sheets
In this paper, we consider a model for the time evolution of marine ice sheets. This model combines the Shallow Ice Approximation (SIA) for the ice deformation, the Shallow Shelf Approximation (SSA) for the basal sliding and the mass conservation principle. At each time step, we solve a generalized...
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ftdatacite:10.17169/refubium-21788 2023-05-15T16:40:15+02:00 An adaptive Newton multigrid method for a model of marine ice sheets Jouvet, Guillaume Gräser, Carsten 2012 https://dx.doi.org/10.17169/refubium-21788 https://refubium.fu-berlin.de/handle/fub188/18076 unknown Freie Universität Berlin http://www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen ice sheet model ice flow variational inequality nonlinear multigrid method 500 Naturwissenschaften und Mathematik510 Mathematik Preprint Text article-journal ScholarlyArticle 2012 ftdatacite https://doi.org/10.17169/refubium-21788 2021-11-05T12:55:41Z In this paper, we consider a model for the time evolution of marine ice sheets. This model combines the Shallow Ice Approximation (SIA) for the ice deformation, the Shallow Shelf Approximation (SSA) for the basal sliding and the mass conservation principle. At each time step, we solve a generalized p-Laplace minimization-type problem with obstacle (SIA), a vectorial p-Laplace minimization-type problem (SSA) and a transport equation (mass conservation). The two minimization problems are solved using a truncated nonsmooth Newton multigrid method while the transport equation is solved using a vertex-centred finite volume method. Our approach is combined to a mesh adaptive refinement procedure to face the large gradients of the solution that are expected close to the grounding line which separates the ice sheet and the ice shelf. As applications, we present some simulations of the marine ice sheet model inter- comparison project MISMIP in two and three space dimensions. In particular, we test the ability of our model to reproduce a reversible grounding line after being perturbed in model parameters. Report Ice Sheet Ice Shelf DataCite Metadata Store (German National Library of Science and Technology) Laplace ENVELOPE(141.467,141.467,-66.782,-66.782) |
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Open Polar |
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DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
ftdatacite |
language |
unknown |
topic |
ice sheet model ice flow variational inequality nonlinear multigrid method 500 Naturwissenschaften und Mathematik510 Mathematik |
spellingShingle |
ice sheet model ice flow variational inequality nonlinear multigrid method 500 Naturwissenschaften und Mathematik510 Mathematik Jouvet, Guillaume Gräser, Carsten An adaptive Newton multigrid method for a model of marine ice sheets |
topic_facet |
ice sheet model ice flow variational inequality nonlinear multigrid method 500 Naturwissenschaften und Mathematik510 Mathematik |
description |
In this paper, we consider a model for the time evolution of marine ice sheets. This model combines the Shallow Ice Approximation (SIA) for the ice deformation, the Shallow Shelf Approximation (SSA) for the basal sliding and the mass conservation principle. At each time step, we solve a generalized p-Laplace minimization-type problem with obstacle (SIA), a vectorial p-Laplace minimization-type problem (SSA) and a transport equation (mass conservation). The two minimization problems are solved using a truncated nonsmooth Newton multigrid method while the transport equation is solved using a vertex-centred finite volume method. Our approach is combined to a mesh adaptive refinement procedure to face the large gradients of the solution that are expected close to the grounding line which separates the ice sheet and the ice shelf. As applications, we present some simulations of the marine ice sheet model inter- comparison project MISMIP in two and three space dimensions. In particular, we test the ability of our model to reproduce a reversible grounding line after being perturbed in model parameters. |
format |
Report |
author |
Jouvet, Guillaume Gräser, Carsten |
author_facet |
Jouvet, Guillaume Gräser, Carsten |
author_sort |
Jouvet, Guillaume |
title |
An adaptive Newton multigrid method for a model of marine ice sheets |
title_short |
An adaptive Newton multigrid method for a model of marine ice sheets |
title_full |
An adaptive Newton multigrid method for a model of marine ice sheets |
title_fullStr |
An adaptive Newton multigrid method for a model of marine ice sheets |
title_full_unstemmed |
An adaptive Newton multigrid method for a model of marine ice sheets |
title_sort |
adaptive newton multigrid method for a model of marine ice sheets |
publisher |
Freie Universität Berlin |
publishDate |
2012 |
url |
https://dx.doi.org/10.17169/refubium-21788 https://refubium.fu-berlin.de/handle/fub188/18076 |
long_lat |
ENVELOPE(141.467,141.467,-66.782,-66.782) |
geographic |
Laplace |
geographic_facet |
Laplace |
genre |
Ice Sheet Ice Shelf |
genre_facet |
Ice Sheet Ice Shelf |
op_rights |
http://www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen |
op_doi |
https://doi.org/10.17169/refubium-21788 |
_version_ |
1766030626067054592 |