Spatio-temporal error growth in the multi-scale Lorenz’96 model

The influence of multiple spatio-temporal scales on the error growth and predictability of atmospheric flows is analyzed throughout the paper. To this aim, we consider the two-scale Lorenz’96 model and study the interplay of the slow and fast variables on the error growth dynamics. It is shown that...

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Autores: Herrera García, Sixto|||0000-0002-5384-179X, Fernández Fernández, Jesús (matemático)|||0000-0002-3483-0008, Rodríguez Díaz, Miguel Ángel|||0000-0003-4184-0463, Gutiérrez Llorente, José Manuel
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/1626
Acceso en línea:http://hdl.handle.net/10902/1626
Access Level:acceso abierto
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spelling Spatio-temporal error growth in the multi-scale Lorenz’96 modelHerrera García, Sixto|||0000-0002-5384-179XFernández Fernández, Jesús (matemático)|||0000-0002-3483-0008Rodríguez Díaz, Miguel Ángel|||0000-0003-4184-0463Gutiérrez Llorente, José ManuelThe influence of multiple spatio-temporal scales on the error growth and predictability of atmospheric flows is analyzed throughout the paper. To this aim, we consider the two-scale Lorenz’96 model and study the interplay of the slow and fast variables on the error growth dynamics. It is shown that when the coupling between slow and fast variables is weak the slow variables dominate the evolution of fluctuations whereas in the case of strong coupling the fast variables impose a non-trivial complex error growth pattern on the slow variables with two different regimes, before and after saturation of fast variables. This complex behavior is analyzed using the recently introduced Mean-Variance Logarithmic (MVL) diagram.The authors are grateful to the Comisi´on Interministerial de Ciencia y Tecnolog´ıa (CICYT, CGL2004-02652 and CGL2005-06966-C07-02/CLI grants) for partial support of this work.European Geosciences UnionUniversidad de Cantabria20102010-07-22journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/1626Nonlinear Processes in Geophysics, 2010, 17, 329–337reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/16262026-06-02T12:39:31Z
dc.title.none.fl_str_mv Spatio-temporal error growth in the multi-scale Lorenz’96 model
title Spatio-temporal error growth in the multi-scale Lorenz’96 model
spellingShingle Spatio-temporal error growth in the multi-scale Lorenz’96 model
Herrera García, Sixto|||0000-0002-5384-179X
title_short Spatio-temporal error growth in the multi-scale Lorenz’96 model
title_full Spatio-temporal error growth in the multi-scale Lorenz’96 model
title_fullStr Spatio-temporal error growth in the multi-scale Lorenz’96 model
title_full_unstemmed Spatio-temporal error growth in the multi-scale Lorenz’96 model
title_sort Spatio-temporal error growth in the multi-scale Lorenz’96 model
dc.creator.none.fl_str_mv Herrera García, Sixto|||0000-0002-5384-179X
Fernández Fernández, Jesús (matemático)|||0000-0002-3483-0008
Rodríguez Díaz, Miguel Ángel|||0000-0003-4184-0463
Gutiérrez Llorente, José Manuel
author Herrera García, Sixto|||0000-0002-5384-179X
author_facet Herrera García, Sixto|||0000-0002-5384-179X
Fernández Fernández, Jesús (matemático)|||0000-0002-3483-0008
Rodríguez Díaz, Miguel Ángel|||0000-0003-4184-0463
Gutiérrez Llorente, José Manuel
author_role author
author2 Fernández Fernández, Jesús (matemático)|||0000-0002-3483-0008
Rodríguez Díaz, Miguel Ángel|||0000-0003-4184-0463
Gutiérrez Llorente, José Manuel
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
description The influence of multiple spatio-temporal scales on the error growth and predictability of atmospheric flows is analyzed throughout the paper. To this aim, we consider the two-scale Lorenz’96 model and study the interplay of the slow and fast variables on the error growth dynamics. It is shown that when the coupling between slow and fast variables is weak the slow variables dominate the evolution of fluctuations whereas in the case of strong coupling the fast variables impose a non-trivial complex error growth pattern on the slow variables with two different regimes, before and after saturation of fast variables. This complex behavior is analyzed using the recently introduced Mean-Variance Logarithmic (MVL) diagram.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-07-22
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10902/1626
url http://hdl.handle.net/10902/1626
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
http://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv European Geosciences Union
publisher.none.fl_str_mv European Geosciences Union
dc.source.none.fl_str_mv Nonlinear Processes in Geophysics, 2010, 17, 329–337
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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