FEniCS-full-Stokes ...
This Python 3 source code solves the full-Stokes equations with different solvers and step size controls. We solve the full-Stokes equations with different algorithms and test these with the experiment ISMIP-HOM B, see (Pattyn et al.; Benchmark experiments for higher-order and full-Stokes ice sheet...
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Online Access: | https://dx.doi.org/10.5281/zenodo.10470996 https://zenodo.org/doi/10.5281/zenodo.10470996 |
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ftdatacite:10.5281/zenodo.10470996 2024-10-20T14:09:29+00:00 FEniCS-full-Stokes ... Schmidt, Niko 2024 https://dx.doi.org/10.5281/zenodo.10470996 https://zenodo.org/doi/10.5281/zenodo.10470996 unknown Zenodo https://dx.doi.org/10.5281/zenodo.7805478 Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 SoftwareSourceCode Software article 2024 ftdatacite https://doi.org/10.5281/zenodo.1047099610.5281/zenodo.7805478 2024-10-01T12:19:47Z This Python 3 source code solves the full-Stokes equations with different solvers and step size controls. We solve the full-Stokes equations with different algorithms and test these with the experiment ISMIP-HOM B, see (Pattyn et al.; Benchmark experiments for higher-order and full-Stokes ice sheet models (ISMIP-HOM; 2008; The Cryosphere). The program allows one to choose between Armijo step sizes, exact step sizes, and constant step sizes; the Picard iteration and the Newton iteration; the functional and the residual norm as a minimization term; and an experiment in two and three dimensions. A combination of exact step sizes with the residual norm as the minimization term is not possible as the exact step sizes rely on a convex function as the minimization term. An executable example with comments is in examples/run_fullStokes.py. In this example are written comments on how to switch between algorithms. This source code relies on FEniCS https://fenicsproject.org/download/archive/ version 2019.1.0. FEniCS ... : New in this version: Added example with different delta values Added a time dependent experiment Added a divergence-Term to the functional. This is needed for initial guesses that are not divergence-free. (For example, in time-dependent simulations.) Added example with different resolutions ... Article in Journal/Newspaper Ice Sheet DataCite |
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This Python 3 source code solves the full-Stokes equations with different solvers and step size controls. We solve the full-Stokes equations with different algorithms and test these with the experiment ISMIP-HOM B, see (Pattyn et al.; Benchmark experiments for higher-order and full-Stokes ice sheet models (ISMIP-HOM; 2008; The Cryosphere). The program allows one to choose between Armijo step sizes, exact step sizes, and constant step sizes; the Picard iteration and the Newton iteration; the functional and the residual norm as a minimization term; and an experiment in two and three dimensions. A combination of exact step sizes with the residual norm as the minimization term is not possible as the exact step sizes rely on a convex function as the minimization term. An executable example with comments is in examples/run_fullStokes.py. In this example are written comments on how to switch between algorithms. This source code relies on FEniCS https://fenicsproject.org/download/archive/ version 2019.1.0. FEniCS ... : New in this version: Added example with different delta values Added a time dependent experiment Added a divergence-Term to the functional. This is needed for initial guesses that are not divergence-free. (For example, in time-dependent simulations.) Added example with different resolutions ... |
format |
Article in Journal/Newspaper |
author |
Schmidt, Niko |
spellingShingle |
Schmidt, Niko FEniCS-full-Stokes ... |
author_facet |
Schmidt, Niko |
author_sort |
Schmidt, Niko |
title |
FEniCS-full-Stokes ... |
title_short |
FEniCS-full-Stokes ... |
title_full |
FEniCS-full-Stokes ... |
title_fullStr |
FEniCS-full-Stokes ... |
title_full_unstemmed |
FEniCS-full-Stokes ... |
title_sort |
fenics-full-stokes ... |
publisher |
Zenodo |
publishDate |
2024 |
url |
https://dx.doi.org/10.5281/zenodo.10470996 https://zenodo.org/doi/10.5281/zenodo.10470996 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
https://dx.doi.org/10.5281/zenodo.7805478 |
op_rights |
Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 |
op_doi |
https://doi.org/10.5281/zenodo.1047099610.5281/zenodo.7805478 |
_version_ |
1813449004681265152 |