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The Ellipsoidal Vortex: A Novel Approach to Geophysical Turbulence
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We review the development of the ellipsoidal vortex model within the field of geophysical fluid dynamics.
This vortex model is built on the classical potential theory of ellipsoids and applies to large-scale fluid flows, such as those found in the atmosphere and oceans, where the dynamics are strongly affected by the Earth's rotation.
In this large-scale limit the governing equations reduce to the quasi-geostrophic system, where all the dynamics depends on a single scalar field, the potential vorticity, which is a dynamical marker for vortices.
The solution of this system is achieved by the inversion of a Poisson equation, that in the case of an ellipsoidal vortex can be solved exactly.
From this ellipsoidal solution equilibria have been determined and their stability properties have been studied.
Many studies have shown that this ellipsoidal vortex model, while being conceptually simple, is an extremely powerful tool in eliciting some of the fundamental characteristics of turbulent geophysical flows.
American Psychological Association (APA)
McKiver, William J.. 2015. The Ellipsoidal Vortex: A Novel Approach to Geophysical Turbulence. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1053001
Modern Language Association (MLA)
McKiver, William J.. The Ellipsoidal Vortex: A Novel Approach to Geophysical Turbulence. Advances in Mathematical Physics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1053001
American Medical Association (AMA)
McKiver, William J.. The Ellipsoidal Vortex: A Novel Approach to Geophysical Turbulence. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1053001
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053001