Premium
Dispersion analysis of the least‐squares finite‐element shallow‐water system
Author(s) -
Le Roux D. Y.,
Carey G. F.
Publication year - 2003
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.528
Subject(s) - dispersion (optics) , dispersion relation , shallow water equations , finite element method , polygon mesh , mathematics , least squares function approximation , galerkin method , waves and shallow water , mathematical analysis , mechanics , geometry , physics , thermodynamics , optics , statistics , estimator
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.