Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography

DOI10.1017/jfm.2014.172zbMath1309.86004OpenAlexW2157936753WikidataQ57964570 ScholiaQ57964570MaRDI QIDQ5171941

Marine Tort, Vladimir Zeitlin, Thomas Dubos, François Bouchut

Publication date: 12 February 2015

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/beb1da8aee8da1da7d8a7053e2040cc47f939240

zbMATH Keywords

atmospheric flowsshallow water flowstopographic effects

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10)

Related Items (6)

Dynamics of a stratified vortex under the complete Coriolis force: two-dimensional three-components evolution ⋮ Barotropic instability of a zonal jet on the sphere: from non-divergence through quasi-geostrophy to shallow water ⋮ Equatorial inertial instability with full Coriolis force ⋮ Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry ⋮ Symmetric and asymmetric inertial instability of zonal jets on the -plane with complete Coriolis force ⋮ Well balanced finite volume schemes for shallow water equations on manifolds

Cites Work

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• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Nonlinear theory of geostrophic adjustment. Part 1. Rotating shallow-water model
• Variations on a beta-plane: derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere
• Shallow water equations with a complete Coriolis force and topography
• Frontal geostrophic adjustment, slow manifold and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 1. Theory
• Near-inertial waves in the ocean: beyond the ‘traditional approximation’
• Hamilton’s principle for quasigeostrophic motion

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