dor_id: 4120472

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590.#.#.d: Los artículos enviados a la revista "Atmósfera", se juzgan por medio de un proceso de revisión por pares

510.0.#.a: Consejo Nacional de Ciencia y Tecnología (CONACyT); Sistema Regional de Información en Línea para Revistas Científicas de América Latina, el Caribe, España y Portugal (Latindex); Scientific Electronic Library Online (SciELO); SCOPUS, Web Of Science (WoS); SCImago Journal Rank (SJR)

561.#.#.u: https://www.atmosfera.unam.mx/

650.#.4.x: Físico Matemáticas y Ciencias de la Tierra

336.#.#.b: article

336.#.#.3: Artículo de Investigación

336.#.#.a: Artículo

351.#.#.6: https://www.revistascca.unam.mx/atm/index.php/atm/index

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351.#.#.a: Artículos

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270.1.#.p: Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

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883.#.#.u: https://revistas.unam.mx/catalogo/

883.#.#.a: Revistas UNAM

590.#.#.a: Coordinación de Difusión Cultural

883.#.#.1: https://www.publicaciones.unam.mx/

883.#.#.q: Dirección General de Publicaciones y Fomento Editorial

850.#.#.a: Universidad Nacional Autónoma de México

856.4.0.u: https://www.revistascca.unam.mx/atm/index.php/atm/article/view/8335/7805

100.1.#.a: Wiin Nielsen, A.

524.#.#.a: Wiin Nielsen, A. (1992). Comparisons of low-order atmospheric dynamic systems. Atmósfera; Vol. 5 No. 3, 1992. Recuperado de https://repositorio.unam.mx/contenidos/4120472

245.1.0.a: Comparisons of low-order atmospheric dynamic systems

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Instituto de Ciencias de la Atmósfera y Cambio Climático, UNAM

264.#.0.c: 1992

264.#.1.c: 2009-10-05

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC 4.0 Internacional, https://creativecommons.org/licenses/by-nc/4.0/legalcode.es, para un uso diferente consultar al responsable jurídico del repositorio por medio del correo electrónico editora@atmosfera.unam.mx

884.#.#.k: https://www.revistascca.unam.mx/atm/index.php/atm/article/view/8335

001.#.#.#: 022.oai:ojs.pkp.sfu.ca:article/8335

041.#.7.h: eng

520.3.#.a: A low-order, quasi-geostrophic, two-level model is used to investigate the response to external heating. The heating has variations in both south-north and west-east directions. The frictional dissipation is incorporated by using both boundary layer and internal friction. The zonal flow is described by two dependent variables, one for the vertical mean flow and the other for the vertical shear flow. The remaining four dependent variables in the model are the amplitudes of the sine- and cosine-components of a travelling wave in the vertical mean flow and in the vertical shear flow. The low-order model is stable in the sense that trajectories starting outside a certain circle will cross the circle and approach the origin of the six-dimensional space. The model has also the property that the rate of change of a small volume is negative indicating that the small volume will shrink to zero. Any attractor, which may exist, is thus of zero volume. A detailed study of the multiple steady states of the model and their stability is postponed to a later publication. In this study we rely on a number of long-term numerical integrations, which show that the model approaches either a stable, steady state or a periodical time-dependent solution. It appears therefore"that the model does not contain chaotic solutions. Comparisons are made with the three parameter model recently published by Lorenz and with the models developed by Saltzman et al. This Lorenz model, which contain chaotic solutions for sufficiently large south-north external forcing, can be obtained as a special case of the six parameter model. The different behavior of the two models may be explained by the assumptions, which are necessary to obtain the simpler model from the other. It is shown that the Lorenz-model describes the thermal flow of the two-level model, and that the phase difference between the thermal and the mean model flow waves always is a quarter of the wavelength assuring that the south- north transport of sensible heat is at a maximum for given amplitudes. It is also pointed out that large values of the external heating are necessary to obtain chaos in the Lorenz-model. These results are also found in the Saltzman-model, which is a generalization of the Lorenz-model, although both have three dependent variables only. It appears therefore that to explain the inter-annual variations of the atmosphere in terms of chaotic behavior in the cold season and non-chaotic behavior in the warm season will require further investigations using models, which can simulate the cascade processes in the real atmosphere.

773.1.#.t: Atmósfera; Vol. 5 No. 3 (1992)

773.1.#.o: https://www.revistascca.unam.mx/atm/index.php/atm/index

046.#.#.j: 2021-10-20 00:00:00.000000

022.#.#.a: ISSN electrónico: 2395-8812; ISSN impreso: 0187-6236

310.#.#.a: Trimestral

264.#.1.b: Instituto de Ciencias de la Atmósfera y Cambio Climático, UNAM

handle: 5ca06fce5ccb0022

harvesting_date: 2023-06-20 16:00:00.0

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245.1.0.b: Comparsions of low-order atmospheric dynamic system

last_modified: 2023-06-20 16:00:00

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Artículo

Comparisons of low-order atmospheric dynamic systems

Wiin Nielsen, A.

Instituto de Ciencias de la Atmósfera y Cambio Climático, UNAM, publicado en Atmósfera, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Instituto de Ciencias de la Atmósfera y Cambio Climático, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Wiin Nielsen, A. (1992). Comparisons of low-order atmospheric dynamic systems. Atmósfera; Vol. 5 No. 3, 1992. Recuperado de https://repositorio.unam.mx/contenidos/4120472

Descripción del recurso

Autor(es)
Wiin Nielsen, A.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Comparisons of low-order atmospheric dynamic systems
Fecha
2009-10-05
Resumen
A low-order, quasi-geostrophic, two-level model is used to investigate the response to external heating. The heating has variations in both south-north and west-east directions. The frictional dissipation is incorporated by using both boundary layer and internal friction. The zonal flow is described by two dependent variables, one for the vertical mean flow and the other for the vertical shear flow. The remaining four dependent variables in the model are the amplitudes of the sine- and cosine-components of a travelling wave in the vertical mean flow and in the vertical shear flow. The low-order model is stable in the sense that trajectories starting outside a certain circle will cross the circle and approach the origin of the six-dimensional space. The model has also the property that the rate of change of a small volume is negative indicating that the small volume will shrink to zero. Any attractor, which may exist, is thus of zero volume. A detailed study of the multiple steady states of the model and their stability is postponed to a later publication. In this study we rely on a number of long-term numerical integrations, which show that the model approaches either a stable, steady state or a periodical time-dependent solution. It appears therefore"that the model does not contain chaotic solutions. Comparisons are made with the three parameter model recently published by Lorenz and with the models developed by Saltzman et al. This Lorenz model, which contain chaotic solutions for sufficiently large south-north external forcing, can be obtained as a special case of the six parameter model. The different behavior of the two models may be explained by the assumptions, which are necessary to obtain the simpler model from the other. It is shown that the Lorenz-model describes the thermal flow of the two-level model, and that the phase difference between the thermal and the mean model flow waves always is a quarter of the wavelength assuring that the south- north transport of sensible heat is at a maximum for given amplitudes. It is also pointed out that large values of the external heating are necessary to obtain chaos in the Lorenz-model. These results are also found in the Saltzman-model, which is a generalization of the Lorenz-model, although both have three dependent variables only. It appears therefore that to explain the inter-annual variations of the atmosphere in terms of chaotic behavior in the cold season and non-chaotic behavior in the warm season will require further investigations using models, which can simulate the cascade processes in the real atmosphere.
Idioma
eng
ISSN
ISSN electrónico: 2395-8812; ISSN impreso: 0187-6236

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