‘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
dor_id: 4132608
506.#.#.a: Público
590.#.#.d: Los artículos enviados a la revista "Geofísica Internacional", se juzgan por medio de un proceso de revisión por pares
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650.#.4.x: Físico Matemáticas y Ciencias de la Tierra
336.#.#.b: 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
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883.#.#.u: https://revistas.unam.mx/catalogo/
883.#.#.a: Revistas UNAM
590.#.#.a: Coordinación de Difusión Cultural
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883.#.#.q: Dirección General de Publicaciones y Fomento Editorial
850.#.#.a: Universidad Nacional Autónoma de México
856.4.0.u: http://revistagi.geofisica.unam.mx/index.php/RGI/article/view/131/126
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 Núm. 3: Julio 1, 2020; 195-207. Recuperado de https://repositorio.unam.mx/contenidos/4132608
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: circulación geostrófica de gran escala; compresibilidad; restricciones de dirección; superficies neutrales; large-scale geostrophic; compressibility; direction constraints; neutral surfaces
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884.#.#.k: http://revistagi.geofisica.unam.mx/index.php/RGI/article/view/131
001.#.#.#: 063.oai:revistagi.geofisica.unam.mx:article/131
041.#.7.h: spa
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.doi: https://doi.org/10.22201/igeof.00167169p.2020.59.3.2094
773.1.#.t: Geofísica Internacional; Vol. 59 Núm. 3: Julio 1, 2020; 195-207
773.1.#.o: http://revistagi.geofisica.unam.mx/index.php/RGI
022.#.#.a: ISSN-L: 2954-436X; ISSN impreso: 0016-7169
310.#.#.a: Trimestral
300.#.#.a: Páginas: 195-207
264.#.1.b: Instituto de Geofísica, UNAM
doi: https://doi.org/10.22201/igeof.00167169p.2020.59.3.2094
handle: 478e9834f4c75425
harvesting_date: 2023-06-20 16:00:00.0
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file_creation_date: 2022-04-13 04:26:30.0
file_modification_date: 2022-04-13 04:26:30.0
file_creator: José Ochoa, Antonio Badan, Julio Sheinbaum, and Jorge Castro
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245.1.0.b: ‘Preferred Trajectories’ defined by mass and potential vorticity conservation
last_modified: 2023-06-20 16:00:00
license_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode.es
license_type: by-nc-sa
Ochoa, José; Badan, Antonio; Sheinbaum, Julio; Castro, Jorge
Instituto de Geofísica, UNAM, publicado en Geofísica Internacional, y cosechado de Revistas UNAM
Ochoa, José, et al. (2020). ‘Preferred Trajectories’ defined by mass and potential vorticity conservation. Geofísica Internacional; Vol. 59 Núm. 3: Julio 1, 2020; 195-207. Recuperado de https://repositorio.unam.mx/contenidos/4132608