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

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100.1.#.a: Wiin Nielsen, A.

524.#.#.a: Wiin Nielsen, A. (1999). Steady state and transient solutions of the nonlinear forced shallow water equations in one space dimension. Atmósfera; Vol. 12 No. 3, 1999. Recuperado de https://repositorio.unam.mx/contenidos/4122320

245.1.0.a: Steady state and transient solutions of the nonlinear forced shallow water equations in one space dimension

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: The one-dimensional shallow water equations permit steady state solutions for a given forcing that is independent of time. When the forcing is sufficiently small one obtains three periodic solution of which two have numerically large velocities and the third a somewhat lower velocity. Examples of solutions for simple forcing patterns are given. The nonlinear one-dimensional equations are simplified in the usual way by neglecting the advection term in the continuity equation and by replacing the geopotential by a constant when undifferentiated. It is shown that these equations have only one steady state solution which is similar to the low velocity solution in the more general system. The approximations act thus as a filter of large velocity solutions. Solutions of the simplified equations are obtained by formulating the equations in wave number space. Examples indicate that a maximum wave number of 30 is sufficient to obtain solutions of sufficient accuracy.

773.1.#.t: Atmósfera; Vol. 12 No. 3 (1999)

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

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

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245.1.0.b: Steady dtate and transient solutions of the nonlinear forced shallow water equations on one space dimension

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Artículo

Steady state and transient solutions of the nonlinear forced shallow water equations in one space dimension

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. (1999). Steady state and transient solutions of the nonlinear forced shallow water equations in one space dimension. Atmósfera; Vol. 12 No. 3, 1999. Recuperado de https://repositorio.unam.mx/contenidos/4122320

Descripción del recurso

Autor(es)
Wiin Nielsen, A.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Steady state and transient solutions of the nonlinear forced shallow water equations in one space dimension
Fecha
2009-10-05
Resumen
The one-dimensional shallow water equations permit steady state solutions for a given forcing that is independent of time. When the forcing is sufficiently small one obtains three periodic solution of which two have numerically large velocities and the third a somewhat lower velocity. Examples of solutions for simple forcing patterns are given. The nonlinear one-dimensional equations are simplified in the usual way by neglecting the advection term in the continuity equation and by replacing the geopotential by a constant when undifferentiated. It is shown that these equations have only one steady state solution which is similar to the low velocity solution in the more general system. The approximations act thus as a filter of large velocity solutions. Solutions of the simplified equations are obtained by formulating the equations in wave number space. Examples indicate that a maximum wave number of 30 is sufficient to obtain solutions of sufficient accuracy.
Idioma
eng
ISSN
ISSN electrónico: 2395-8812; ISSN impreso: 0187-6236

Enlaces