dorsal/arxiv
View SchemaTidal theory of the thermal wind
| Authors | Detlev Mueller |
|---|---|
| Categories | |
| ArXiv ID | physics/0206085 |
| URL | https://arxiv.org/abs/physics/0206085 |
Abstract
The baroclinic instability problem is considered in the framework of Laplacian tidal theory. The Hilbert space of the quasigeostrophic vorticity budget is spanned by spheroidal functions. The fluid is linearly stable against quasigeostrophic disturbances. As the essential source of irregular ocean-atmosphere motions, baroclinic instability is ruled out by tidal theory. The midlatitude beta-plane budget of vorticity fluxes is inconsistent with basic laws of motion on the rotating spherical surface. Realistic numerical simulations of global wave dynamics and dynamical circulation instabilities require a covariant account of fluid motion on the spherical planet.
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"abstract": "The baroclinic instability problem is considered in the framework of\nLaplacian tidal theory. The Hilbert space of the quasigeostrophic vorticity\nbudget is spanned by spheroidal functions. The fluid is linearly stable against\nquasigeostrophic disturbances. As the essential source of irregular\nocean-atmosphere motions, baroclinic instability is ruled out by tidal theory.\nThe midlatitude beta-plane budget of vorticity fluxes is inconsistent with\nbasic laws of motion on the rotating spherical surface. Realistic numerical\nsimulations of global wave dynamics and dynamical circulation instabilities\nrequire a covariant account of fluid motion on the spherical planet.",
"arxiv_id": "physics/0206085",
"authors": [
"Detlev Mueller"
],
"categories": [
"physics.flu-dyn",
"math.AP",
"nlin.CD",
"physics.ao-ph"
],
"title": "Tidal theory of the thermal wind",
"url": "https://arxiv.org/abs/physics/0206085"
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