Dispersion analysis of the least-squares finite-element shallow-water system

The frequency or dispersion relation for the least‐squares mixed formulation of the shallow‐water equations is analysed. We consider the use of different approximation spaces corresponding to co‐located and staggered meshes, respectively. The study includes the effect of Coriolis, and the dispersion...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2003-06, Vol.42 (6), p.607-622
Main Authors: Le Roux, D. Y., Carey, G. F.
Format: Article
Language:English
Subjects:
Earth, ocean, space
Exact sciences and technology
External geophysics
finite elements
Geophysics. Techniques, methods, instrumentation and models
gravity and Rossby waves
least squares
Meteorology
Other topics in atmospheric geophysics
shallow-water equations
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Summary:The frequency or dispersion relation for the least‐squares mixed formulation of the shallow‐water equations is analysed. We consider the use of different approximation spaces corresponding to co‐located and staggered meshes, respectively. The study includes the effect of Coriolis, and the dispersion properties are compared analytically and graphically with those of the mixed Galerkin formulation. Numerical solutions of a test problem to simulate slow Rossby modes illustrate the theoretical results. Copyright © 2003 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.528