Implementation of the LANS-alpha turbulence model in a primitive equation ocean model
This paper presents the first numerical implementation and tests of the Lagrangian-averaged Navier-Stokes-alpha (LANS-alpha) turbulence model in a primitive equation ocean model. The ocean model in which we work is the Los Alamos Parallel Ocean Program (POP); we refer to POP and our implementation o...
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ftdatacite:10.48550/arxiv.physics/0703195 2023-05-15T13:38:48+02:00 Implementation of the LANS-alpha turbulence model in a primitive equation ocean model Hecht, Matthew W. Holm, Darryl D. Petersen, Mark R. Wingate, Beth A. 2007 https://dx.doi.org/10.48550/arxiv.physics/0703195 https://arxiv.org/abs/physics/0703195 unknown arXiv https://dx.doi.org/10.1016/j.jcp.2008.02.018 Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ Atmospheric and Oceanic Physics physics.ao-ph Chaotic Dynamics nlin.CD Fluid Dynamics physics.flu-dyn FOS Physical sciences article-journal Article ScholarlyArticle Text 2007 ftdatacite https://doi.org/10.48550/arxiv.physics/0703195 https://doi.org/10.1016/j.jcp.2008.02.018 2022-04-01T15:43:14Z This paper presents the first numerical implementation and tests of the Lagrangian-averaged Navier-Stokes-alpha (LANS-alpha) turbulence model in a primitive equation ocean model. The ocean model in which we work is the Los Alamos Parallel Ocean Program (POP); we refer to POP and our implementation of LANS-alpha as POP-alpha. Two versions of POP-alpha are presented: the full POP-alpha algorithm is derived from the LANS-alpha primitive equations, but requires a nested iteration that makes it too slow for practical simulations; a reduced POP-alpha algorithm is proposed, which lacks the nested iteration and is two to three times faster than the full algorithm. The reduced algorithm does not follow from a formal derivation of the LANS-alpha model equations. Despite this, simulations of the reduced algorithm are nearly identical to the full algorithm, as judged by globally averaged temperature and kinetic energy, and snapshots of temperature and velocity fields. Both POP-alpha algorithms can run stably with longer timesteps than standard POP. Comparison of implementations of full and reduced POP-alpha algorithms are made within an idealized test problem that captures some aspects of the Antarctic Circumpolar Current, a problem in which baroclinic instability is prominent. Both POP-alpha algorithms produce statistics that resemble higher-resolution simulations of standard POP. A linear stability analysis shows that both the full and reduced POP-alpha algorithms benefit from the way the LANS-alpha equations take into account the effects of the small scales on the large. Both algorithms (1) are stable; (2) make the Rossby Radius effectively larger; and (3) slow down Rossby and gravity waves. : Submitted to J. Computational Physics March 21, 2007 Text Antarc* Antarctic DataCite Metadata Store (German National Library of Science and Technology) Antarctic The Antarctic |
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topic |
Atmospheric and Oceanic Physics physics.ao-ph Chaotic Dynamics nlin.CD Fluid Dynamics physics.flu-dyn FOS Physical sciences |
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Atmospheric and Oceanic Physics physics.ao-ph Chaotic Dynamics nlin.CD Fluid Dynamics physics.flu-dyn FOS Physical sciences Hecht, Matthew W. Holm, Darryl D. Petersen, Mark R. Wingate, Beth A. Implementation of the LANS-alpha turbulence model in a primitive equation ocean model |
topic_facet |
Atmospheric and Oceanic Physics physics.ao-ph Chaotic Dynamics nlin.CD Fluid Dynamics physics.flu-dyn FOS Physical sciences |
description |
This paper presents the first numerical implementation and tests of the Lagrangian-averaged Navier-Stokes-alpha (LANS-alpha) turbulence model in a primitive equation ocean model. The ocean model in which we work is the Los Alamos Parallel Ocean Program (POP); we refer to POP and our implementation of LANS-alpha as POP-alpha. Two versions of POP-alpha are presented: the full POP-alpha algorithm is derived from the LANS-alpha primitive equations, but requires a nested iteration that makes it too slow for practical simulations; a reduced POP-alpha algorithm is proposed, which lacks the nested iteration and is two to three times faster than the full algorithm. The reduced algorithm does not follow from a formal derivation of the LANS-alpha model equations. Despite this, simulations of the reduced algorithm are nearly identical to the full algorithm, as judged by globally averaged temperature and kinetic energy, and snapshots of temperature and velocity fields. Both POP-alpha algorithms can run stably with longer timesteps than standard POP. Comparison of implementations of full and reduced POP-alpha algorithms are made within an idealized test problem that captures some aspects of the Antarctic Circumpolar Current, a problem in which baroclinic instability is prominent. Both POP-alpha algorithms produce statistics that resemble higher-resolution simulations of standard POP. A linear stability analysis shows that both the full and reduced POP-alpha algorithms benefit from the way the LANS-alpha equations take into account the effects of the small scales on the large. Both algorithms (1) are stable; (2) make the Rossby Radius effectively larger; and (3) slow down Rossby and gravity waves. : Submitted to J. Computational Physics March 21, 2007 |
format |
Text |
author |
Hecht, Matthew W. Holm, Darryl D. Petersen, Mark R. Wingate, Beth A. |
author_facet |
Hecht, Matthew W. Holm, Darryl D. Petersen, Mark R. Wingate, Beth A. |
author_sort |
Hecht, Matthew W. |
title |
Implementation of the LANS-alpha turbulence model in a primitive equation ocean model |
title_short |
Implementation of the LANS-alpha turbulence model in a primitive equation ocean model |
title_full |
Implementation of the LANS-alpha turbulence model in a primitive equation ocean model |
title_fullStr |
Implementation of the LANS-alpha turbulence model in a primitive equation ocean model |
title_full_unstemmed |
Implementation of the LANS-alpha turbulence model in a primitive equation ocean model |
title_sort |
implementation of the lans-alpha turbulence model in a primitive equation ocean model |
publisher |
arXiv |
publishDate |
2007 |
url |
https://dx.doi.org/10.48550/arxiv.physics/0703195 https://arxiv.org/abs/physics/0703195 |
geographic |
Antarctic The Antarctic |
geographic_facet |
Antarctic The Antarctic |
genre |
Antarc* Antarctic |
genre_facet |
Antarc* Antarctic |
op_relation |
https://dx.doi.org/10.1016/j.jcp.2008.02.018 |
op_rights |
Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ |
op_doi |
https://doi.org/10.48550/arxiv.physics/0703195 https://doi.org/10.1016/j.jcp.2008.02.018 |
_version_ |
1766111361020985344 |