Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues
International audience This paper is focused on the numerical and computational issues associated to ocean-atmosphere coupling. It is shown that usual coupling methods do not provide the solution to the correct problem, but to an approaching one since they are equivalent to performing one single ite...
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ftunigrenoble:oai:HAL:hal-01659459v1 2024-05-19T07:42:41+00:00 Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues Lemarié, Florian Blayo, Eric Debreu, Laurent Mathematics and computing applied to oceanic and atmospheric flows (AIRSEA) Inria Grenoble - Rhône-Alpes Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK) Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS) Reykjavik, Iceland 2015-06-01 https://inria.hal.science/hal-01659459 https://doi.org/10.1016/j.procs.2015.05.473 en eng HAL CCSD Elsevier info:eu-repo/semantics/altIdentifier/doi/10.1016/j.procs.2015.05.473 hal-01659459 https://inria.hal.science/hal-01659459 doi:10.1016/j.procs.2015.05.473 15th International Conference on Computational Sciences https://inria.hal.science/hal-01659459 15th International Conference on Computational Sciences, Jun 2015, Reykjavik, Iceland. pp.2066-2075, ⟨10.1016/j.procs.2015.05.473⟩ [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere info:eu-repo/semantics/conferenceObject Conference papers 2015 ftunigrenoble https://doi.org/10.1016/j.procs.2015.05.473 2024-05-02T00:39:43Z International audience This paper is focused on the numerical and computational issues associated to ocean-atmosphere coupling. It is shown that usual coupling methods do not provide the solution to the correct problem, but to an approaching one since they are equivalent to performing one single iteration of an iterative coupling method. The stability analysis of these ad-hoc methods is presented, and we motivate and propose the adaptation of a Schwarz domain decomposition method to ocean-atmosphere coupling to obtain a stable and consistent coupling method. Conference Object Iceland Université Grenoble Alpes: HAL Procedia Computer Science 51 2066 2075 |
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Open Polar |
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Université Grenoble Alpes: HAL |
op_collection_id |
ftunigrenoble |
language |
English |
topic |
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere |
spellingShingle |
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere Lemarié, Florian Blayo, Eric Debreu, Laurent Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues |
topic_facet |
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDU.OCEAN]Sciences of the Universe [physics]/Ocean Atmosphere |
description |
International audience This paper is focused on the numerical and computational issues associated to ocean-atmosphere coupling. It is shown that usual coupling methods do not provide the solution to the correct problem, but to an approaching one since they are equivalent to performing one single iteration of an iterative coupling method. The stability analysis of these ad-hoc methods is presented, and we motivate and propose the adaptation of a Schwarz domain decomposition method to ocean-atmosphere coupling to obtain a stable and consistent coupling method. |
author2 |
Mathematics and computing applied to oceanic and atmospheric flows (AIRSEA) Inria Grenoble - Rhône-Alpes Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK) Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS) |
format |
Conference Object |
author |
Lemarié, Florian Blayo, Eric Debreu, Laurent |
author_facet |
Lemarié, Florian Blayo, Eric Debreu, Laurent |
author_sort |
Lemarié, Florian |
title |
Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues |
title_short |
Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues |
title_full |
Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues |
title_fullStr |
Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues |
title_full_unstemmed |
Analysis of ocean-atmosphere coupling algorithms: consistency and stability issues |
title_sort |
analysis of ocean-atmosphere coupling algorithms: consistency and stability issues |
publisher |
HAL CCSD |
publishDate |
2015 |
url |
https://inria.hal.science/hal-01659459 https://doi.org/10.1016/j.procs.2015.05.473 |
op_coverage |
Reykjavik, Iceland |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
15th International Conference on Computational Sciences https://inria.hal.science/hal-01659459 15th International Conference on Computational Sciences, Jun 2015, Reykjavik, Iceland. pp.2066-2075, ⟨10.1016/j.procs.2015.05.473⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.procs.2015.05.473 hal-01659459 https://inria.hal.science/hal-01659459 doi:10.1016/j.procs.2015.05.473 |
op_doi |
https://doi.org/10.1016/j.procs.2015.05.473 |
container_title |
Procedia Computer Science |
container_volume |
51 |
container_start_page |
2066 |
op_container_end_page |
2075 |
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1799482377891741696 |