On the Stability of an Intermediate Coupled Ocean-Atmosphere Model

On the Stability of an Intermediate Coupled Ocean-Atmosphere Model

The explicit finite difference scheme for solving an intermediate coupled ocean-atmosphere equations has been proposed and discussed. The discrete Fourier analysis within Gerschgorin circle theorem is applied to the stability analysis of this numerical model. The stability criterion that we obtained...

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Main Authors: Tianxu Zhao, Guang-an Zou
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/658345
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spelling doaj-5dd4e8b5a69642388798e90b6829bbe92020-11-24T22:15:39ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/658345658345On the Stability of an Intermediate Coupled Ocean-Atmosphere ModelTianxu Zhao0Guang-an Zou1Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, ChinaKey Laboratory of Ocean Circulation and Wave, Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, ChinaThe explicit finite difference scheme for solving an intermediate coupled ocean-atmosphere equations has been proposed and discussed. The discrete Fourier analysis within Gerschgorin circle theorem is applied to the stability analysis of this numerical model. The stability criterion that we obtained includes advection, rotation, dissipation, and friction terms, without any assumptions, which is also including the Courant-Friedrichs-Lewy (CFL) condition as a special case. Numerical sensitivity experiments are also carried out by varying the model parameters.http://dx.doi.org/10.1155/2013/658345
collection DOAJ
language English
format Article
sources DOAJ
author Tianxu Zhao
Guang-an Zou
spellingShingle Tianxu Zhao
Guang-an Zou
On the Stability of an Intermediate Coupled Ocean-Atmosphere Model
Mathematical Problems in Engineering
author_facet Tianxu Zhao
Guang-an Zou
author_sort Tianxu Zhao
title On the Stability of an Intermediate Coupled Ocean-Atmosphere Model
title_short On the Stability of an Intermediate Coupled Ocean-Atmosphere Model
title_full On the Stability of an Intermediate Coupled Ocean-Atmosphere Model
title_fullStr On the Stability of an Intermediate Coupled Ocean-Atmosphere Model
title_full_unstemmed On the Stability of an Intermediate Coupled Ocean-Atmosphere Model
title_sort on the stability of an intermediate coupled ocean-atmosphere model
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description The explicit finite difference scheme for solving an intermediate coupled ocean-atmosphere equations has been proposed and discussed. The discrete Fourier analysis within Gerschgorin circle theorem is applied to the stability analysis of this numerical model. The stability criterion that we obtained includes advection, rotation, dissipation, and friction terms, without any assumptions, which is also including the Courant-Friedrichs-Lewy (CFL) condition as a special case. Numerical sensitivity experiments are also carried out by varying the model parameters.
url http://dx.doi.org/10.1155/2013/658345
work_keys_str_mv AT tianxuzhao onthestabilityofanintermediatecoupledoceanatmospheremodel
AT guanganzou onthestabilityofanintermediatecoupledoceanatmospheremodel
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