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

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336.#.#.a: Artículo

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856.4.0.u: https://www.revistascca.unam.mx/atm/index.php/atm/article/view/8450/7920

100.1.#.a: Pérez García, Ismael; Skiba, Yuri N.

524.#.#.a: Pérez García, Ismael, et al. (1999). Simulation of exact barotropic vorticity equation solutions using a spectral model. Atmósfera; Vol. 12 No. 4, 1999. Recuperado de https://repositorio.unam.mx/contenidos/4122278

245.1.0.a: Simulation of exact barotropic vorticity equation solutions using a spectral model

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

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

264.#.0.c: 1999

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

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041.#.7.h: eng

520.3.#.a: A numerical spectral model of the barotropic atmosphere is used to simulate well-known exact solutions of the vorticity equation for an ideal incompressible fluid on a rotating sphere. Primary emphasis is received to the behavior of the relative error between the exact and numerical solutions as well as to preserving the total kinetic energy, integral enstrophy, and geometric structure of the solutions (zonal flows, Rossby-Haurwitz waves, Wu-Verkley solutions, and Verkley"s dipole modons). The 10-day integrations carried out with the model show that the classical exact solutions (RH waves) can be calculated to a good approximation. However, the instability of some exact generalized solutions with respect to initial errors and the errors associated with nonzero numerical model forcing can be a serious obstacle in simulating long-time behavior of such solutions. If it is the case then even highly truncated model with very small time step fails to resolve the problem, and the paths of the numerical and exact solutions diverge from each other with time. Nevertheless, the total energy and integral enstrophy of all the numerical solutions are conserved with a high degree of precision at least during first 10 days.

773.1.#.t: Atmósfera; Vol. 12 No. 4 (1999)

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

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

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

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245.1.0.b: Simulation of exact barotropic vorticity equation solutions using a spectral model

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Artículo

Simulation of exact barotropic vorticity equation solutions using a spectral model

Pérez García, Ismael; Skiba, Yuri N.

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

Pérez García, Ismael, et al. (1999). Simulation of exact barotropic vorticity equation solutions using a spectral model. Atmósfera; Vol. 12 No. 4, 1999. Recuperado de https://repositorio.unam.mx/contenidos/4122278

Descripción del recurso

Autor(es)
Pérez García, Ismael; Skiba, Yuri N.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Simulation of exact barotropic vorticity equation solutions using a spectral model
Fecha
2009-10-05
Resumen
A numerical spectral model of the barotropic atmosphere is used to simulate well-known exact solutions of the vorticity equation for an ideal incompressible fluid on a rotating sphere. Primary emphasis is received to the behavior of the relative error between the exact and numerical solutions as well as to preserving the total kinetic energy, integral enstrophy, and geometric structure of the solutions (zonal flows, Rossby-Haurwitz waves, Wu-Verkley solutions, and Verkley"s dipole modons). The 10-day integrations carried out with the model show that the classical exact solutions (RH waves) can be calculated to a good approximation. However, the instability of some exact generalized solutions with respect to initial errors and the errors associated with nonzero numerical model forcing can be a serious obstacle in simulating long-time behavior of such solutions. If it is the case then even highly truncated model with very small time step fails to resolve the problem, and the paths of the numerical and exact solutions diverge from each other with time. Nevertheless, the total energy and integral enstrophy of all the numerical solutions are conserved with a high degree of precision at least during first 10 days.
Idioma
eng
ISSN
ISSN electrónico: 2395-8812; ISSN impreso: 0187-6236

Enlaces