dor_id: 4102218

506.#.#.a: Público

590.#.#.d: Cada artículo es evaluado mediante una revisión ciega única. Los revisores son externos nacionales e internacionales.

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)

561.#.#.u: http://www.geofisica.unam.mx/

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

336.#.#.b: info:eu-repo/semantics/article

336.#.#.3: Artículo de Investigación

336.#.#.a: Artículo

351.#.#.6: http://revistagi.geofisica.unam.mx/index.php/RGI

351.#.#.b: Geofísica Internacional

351.#.#.a: Artículos

harvesting_group: RevistasUNAM

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

590.#.#.c: Open Journal Systems (OJS)

270.#.#.d: MX

270.1.#.d: México

590.#.#.b: Concentrador

883.#.#.u: http://www.revistas.unam.mx/front/

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, UNAM

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

856.4.0.u: http://revistagi.geofisica.unam.mx/index.php/RGI/article/view/2094/1759

100.1.#.a: Ochoa, José; Badan, Antonio; Sheinbaum, Julio; Castro, Jorge

524.#.#.a: Ochoa, José, et al. (2020). ‘Preferred Trajectories’ defined by mass and potential vorticity conservation. Geofísica Internacional; Vol. 59 No. 3, 2020; 195-207. Recuperado de https://repositorio.unam.mx/contenidos/4102218

245.1.0.a: ‘Preferred Trajectories’ defined by mass and potential vorticity conservation

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

561.1.#.a: Instituto de Geofísica, UNAM

264.#.0.c: 2020

264.#.1.c: 2020-07-01

653.#.#.a: large-scale geostrophic; compressibility; direction constraints; neutral surfaces; circulación geostrófica de gran escala; compresibilidad; restricciones de dirección; superficies neutrales

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-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2020-07-01, para un uso diferente consultar al responsable jurídico del repositorio por medio de revistagi@igeofisica.unam.mx

884.#.#.k: http://revistagi.geofisica.unam.mx/index.php/RGI/article/view/2094

001.#.#.#: oai:ojs.ojs.geofisica.unam.mx:article/2094

041.#.7.h: eng

520.3.#.a: Most schemes to estimate ‘absolute’ geostrophic velocities, in the absence of actual velocity measurements, use directional constraints of the flow at different vertical levels. These constraints allow the determination, often as a least square problem, of the integration constants in the thermal-wind equation. Examples of such directions are those defined by the intersection of constant potential temperature and isohaline surfaces, which under appropriate approximation are material surfaces. Here we show that under adiabatic, non-diffusive, geostrophic, hydrostatic motions, but allowing for compressibility, hence the focus being on the large-scale circulation, a pair of orthogonality constraints, much closely related with dynamical balances than the conservation of potential temperature and salinity, yield a flow direction. These constraints are the conservation of ‘local’ potential density and potential vorticity, in their reduction consistent with such approximations. ‘Neutral’, ‘Orthobaric’, and ‘Topobaric’ surfaces are approximately material surfaces defined as a result of the conservation of ‘local’ potential density, but in order to build such global surfaces additional assumptions are required. The conservation constraint is an inexact differential equation that cannot define, uniquely, a global surface. Here we explicitly show that to define the flow direction, there is no need to build global surfaces out of inexact differentials, as would also be the case with the iso-potential vorticity surfaces, thus avoiding additional assumptions. The ‘Preferred Trajectories’ are then well-defined paths as integrals along this flow direction without being the intersection of global surfaces. Some examples are included for illustrative purposes. Further analysis including error propagation are beyond the scope of this work and left for future studies.

773.1.#.t: Geofísica Internacional; Vol. 59 No. 3 (2020); 195-207

773.1.#.o: http://revistagi.geofisica.unam.mx/index.php/RGI

046.#.#.j: 2020-10-20 00:00:00.000000

022.#.#.a: 0016-7169

310.#.#.a: Trimestral

264.#.1.b: Instituto de Geofísica, UNAM

758.#.#.1: http://revistagi.geofisica.unam.mx/index.php/RGI

handle: 00c650ddb2ade5e1

harvesting_date: 2020-09-23 00:00:00.0

856.#.0.q: application/pdf

file_modification_date: 2020-09-17 20:30:12.0

last_modified: 2020-10-21 00:00:00

license_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es

license_type: by-nc-nd

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Artículo

‘Preferred Trajectories’ defined by mass and potential vorticity conservation

Ochoa, José; Badan, Antonio; Sheinbaum, Julio; Castro, Jorge

Instituto de Geofísica, UNAM, publicado en Geofísica Internacional, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Instituto de Geofísica, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Ochoa, José, et al. (2020). ‘Preferred Trajectories’ defined by mass and potential vorticity conservation. Geofísica Internacional; Vol. 59 No. 3, 2020; 195-207. Recuperado de https://repositorio.unam.mx/contenidos/4102218

Descripción del recurso

Autor(es)
Ochoa, José; Badan, Antonio; Sheinbaum, Julio; Castro, Jorge
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
‘Preferred Trajectories’ defined by mass and potential vorticity conservation
Fecha
2020-07-01
Resumen
Most schemes to estimate ‘absolute’ geostrophic velocities, in the absence of actual velocity measurements, use directional constraints of the flow at different vertical levels. These constraints allow the determination, often as a least square problem, of the integration constants in the thermal-wind equation. Examples of such directions are those defined by the intersection of constant potential temperature and isohaline surfaces, which under appropriate approximation are material surfaces. Here we show that under adiabatic, non-diffusive, geostrophic, hydrostatic motions, but allowing for compressibility, hence the focus being on the large-scale circulation, a pair of orthogonality constraints, much closely related with dynamical balances than the conservation of potential temperature and salinity, yield a flow direction. These constraints are the conservation of ‘local’ potential density and potential vorticity, in their reduction consistent with such approximations. ‘Neutral’, ‘Orthobaric’, and ‘Topobaric’ surfaces are approximately material surfaces defined as a result of the conservation of ‘local’ potential density, but in order to build such global surfaces additional assumptions are required. The conservation constraint is an inexact differential equation that cannot define, uniquely, a global surface. Here we explicitly show that to define the flow direction, there is no need to build global surfaces out of inexact differentials, as would also be the case with the iso-potential vorticity surfaces, thus avoiding additional assumptions. The ‘Preferred Trajectories’ are then well-defined paths as integrals along this flow direction without being the intersection of global surfaces. Some examples are included for illustrative purposes. Further analysis including error propagation are beyond the scope of this work and left for future studies.
Tema
large-scale geostrophic; compressibility; direction constraints; neutral surfaces; circulación geostrófica de gran escala; compresibilidad; restricciones de dirección; superficies neutrales
Idioma
eng
ISSN
0016-7169

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