dor_id: 4128559

506.#.#.a: Público

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

510.0.#.a: Web of Science (WoS), Directory of Open Access Journals (DOAJ), Sistema Regional de Información en Línea para Revistas Científicas de América Latina, el Caribe, España y Portugal (Latindex), Scientific Electronic Library Online (SciELO), Consejo Nacional de Ciencia y Tecnología (CONACyT), La Red de Revistas Científicas de América Latina y el Caribe, España y Portugal (Redalyc)

561.#.#.u: https://www.fciencias.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://rmf.smf.mx/ojs/rmf/index

351.#.#.b: Revista Mexicana de Física

351.#.#.a: Artículos

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, UNAM

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: https://rmf.smf.mx/ojs/index.php/rmf/article/view/5505/5659

100.1.#.a: Beron Vera, F. J.

524.#.#.a: Beron Vera, F. J. (2021). Multilayer shallow-water model with stratification and shear. Revista Mexicana de Física; Vol. 67 No. 3, 2021; 351–364. Recuperado de https://repositorio.unam.mx/contenidos/4128559

245.1.0.a: Multilayer shallow-water model with stratification and shear

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

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2021

264.#.1.c: 2021-05-01

653.#.#.a: Inhoomogeneous layers; stratification; shear; upper ocean; mixed layer; dynamics; thermodynamics.

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 2021-05-01, para un uso diferente consultar al responsable jurídico del repositorio por medio del correo electrónico rmf@ciencias.unam.mx

884.#.#.k: https://rmf.smf.mx/ojs/index.php/rmf/article/view/5505

001.#.#.#: rmf.oai:ojs2.rmf.smf.mx:article/5505

041.#.7.h: eng

520.3.#.a: The purpose of this paper is to present a shallow-water-type model with multiple inhomogeneous layers featuring variable linear velocity vertical shear and startificaion in horizontal space and time. This is achieved by writing the layer velocity and buoyancy fields as linear functions of depth, with coefficients that depend arbitrarily on horizontal position and time. The model is a generalization of Ripa/s (1995) single-layer model to an arbitrary number of layers. Unlike models with homogeneous layers the present model is able to represent thermodynamics processes driven by heat and freshwater fluxes through the surface or mixing processes resulting from fluid exchanges across contiguous layers. By contrast with inhomogeneous-layer models with depth-independent velocity and buoyancy, the model derived here can sustain explicitly at low frequency a current in thermal wind balance (between the vertical vertical shear and the horizontal density gradient) within each layer. In the absence of external forcing and dissipation, energy, volume, mass, and buoyancy variance constrain the dynamics; conservation of total zonal momentum requires in addition the usual zonal symmetry of the topography and horizontal domain.  The inviscid, unforced model admits a formulation suggestive of a generalized Hamiltonian structure, which enables the classical connection between symmetries and conservation laws via Noether/s theorem.  A steady solution to a system involving one Ripa-like layer and otherwise homogeneous layers can be proved formally (or Arnold) stable using the above invariants. A model configuration with only one layer has been shown previously to provide: a very good representation of the exact vertical normal modes up to the first internal mode; an exact representation of long-perturbation (free boundary) baroclinic instability; and a very reasonable representation of short-perturbation (classical Eady) baroclinic instability. Here it is shown that substantially more accurate overall results with respect to single-layer calculations can be achieved by considering a stack of only a few layers. A similar behavior is found in ageostrophic (classical Stone) baroclinic instability by describing accurately the dependence of the solutions on the Richardson number with only two layers.

773.1.#.t: Revista Mexicana de Física; Vol. 67 No. 3 (2021); 351–364

773.1.#.o: https://rmf.smf.mx/ojs/rmf/index

022.#.#.a: ISSN electrónico: 2683-2224; ISSN impreso: 0035-001X

310.#.#.a: Bimestral

300.#.#.a: Páginas: 351–364

264.#.1.b: Facultad de Ciencias, UNAM

758.#.#.1: https://rmf.smf.mx/ojs/rmf/index

doi: https://doi.org/10.31349/RevMexFis.67.351

handle: 00ccf8c85c6c3bab

harvesting_date: 2022-08-17 16:00:00.0

856.#.0.q: application/pdf

file_creation_date: 2021-04-23 20:21:39.0

file_name: 6ddce2c22e026e865d573d9ab23ab5c767255a907c15bdbfcec752880bbcbb0d.pdf

file_pages_number: 14

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last_modified: 2022-11-29 12:00:00

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

license_type: by-nc-nd

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