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View all- Le Roux D(2012)Spurious inertial oscillations in shallow-water modelsJournal of Computational Physics10.1016/j.jcp.2012.04.052231:24(7959-7987)Online publication date: 1-Oct-2012
The behavior of planetary (Rossby) waves in finite-element numerical models is investigated by using a quasi-geostrophic approximation to the midlatitude, $\beta$-plane, two-dimensional linear shallow-water equations. A dispersion relation analysis is ...
The numerical approximation of shallow-water models is a delicate problem. For most of the discretization schemes, the coupling between the momentum and the continuity equations usually leads to anomalous dispersion in the representation of fast waves. ...
A technique for analyzing dispersion properties of numerical schemes is proposed. The method is able to deal with both non dispersive or dispersive waves, i.e. waves for which the phase speed varies with wavenumber. It can be applied to unstructured ...
Society for Industrial and Applied Mathematics
United States
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