Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A 1.5-layer reduced-gravity shallow-water ocean model in spherical coordinates is described and discretized in a staggered grid (standard Arakawa C-grid) with the forward-time central-space (FTCS) method and the Leap-frog finite difference scheme.
The discrete Fourier analysis method combined with the Gershgorin circle theorem is used to study the stability of these two finite difference numerical models.
A series of necessary conditions of selection criteria for the time-space step sizes and model parameters are obtained.
It is showed that these stability conditions are more accurate than the Courant-Friedrichs-Lewy (CFL) condition and other two criterions (Blumberg and Mellor, 1987; Casulli, 1990, 1992).
Numerical experiments are proposed to test our stability results, and numerical model that is designed is also used to simulate the ocean current.
American Psychological Association (APA)
Zou, Guang-an& Wang, Bo& Mu, Mu. 2013. Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-474685
Modern Language Association (MLA)
Zou, Guang-an…[et al.]. Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-474685
American Medical Association (AMA)
Zou, Guang-an& Wang, Bo& Mu, Mu. Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-474685
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474685