Dynamics of vortices in rotating and stratified fluids

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Abstract

The planetary background rotation and density stratification play an essential role in the dynamics of most large-scale geophysical vortices. In this chapter we will discuss some basic dynamical aspects of rotation and stratification, while focusing on elementary vortex structures. Rotation effects will be discussed in Sect. 1.1, attention being given to basic balances, Ekman-layer effects, topography and ß-plane effects, and vortex instability. Some laboratory experiments will be discussed in order to illustrate the theoretical issues. Section 1.2 is devoted to vortex structures in stratified fluids, with focus on theoretical models describing their decay. Again, laboratory experiments will play a central part in the discussion. Finally, some general conclusions will be drawn in Sect. 1.3. For additional aspects of the laboratory modelling of geophysical vortices the interested reader is referred to the review papers [14] and [16].
Original languageEnglish
Pages (from-to)1-34
Number of pages34
JournalLecture Notes in Physics
Volume805
DOIs
Publication statusPublished - 2010

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rotating fluids
vortices
fluids
stratification
Ekman layer
readers
topography
decay

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title = "Dynamics of vortices in rotating and stratified fluids",
abstract = "The planetary background rotation and density stratification play an essential role in the dynamics of most large-scale geophysical vortices. In this chapter we will discuss some basic dynamical aspects of rotation and stratification, while focusing on elementary vortex structures. Rotation effects will be discussed in Sect. 1.1, attention being given to basic balances, Ekman-layer effects, topography and {\ss}-plane effects, and vortex instability. Some laboratory experiments will be discussed in order to illustrate the theoretical issues. Section 1.2 is devoted to vortex structures in stratified fluids, with focus on theoretical models describing their decay. Again, laboratory experiments will play a central part in the discussion. Finally, some general conclusions will be drawn in Sect. 1.3. For additional aspects of the laboratory modelling of geophysical vortices the interested reader is referred to the review papers [14] and [16].",
author = "{Heijst, van}, G.J.F.",
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Dynamics of vortices in rotating and stratified fluids. / Heijst, van, G.J.F.

In: Lecture Notes in Physics, Vol. 805, 2010, p. 1-34.

Research output: Contribution to journalArticleAcademicpeer-review

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AB - The planetary background rotation and density stratification play an essential role in the dynamics of most large-scale geophysical vortices. In this chapter we will discuss some basic dynamical aspects of rotation and stratification, while focusing on elementary vortex structures. Rotation effects will be discussed in Sect. 1.1, attention being given to basic balances, Ekman-layer effects, topography and ß-plane effects, and vortex instability. Some laboratory experiments will be discussed in order to illustrate the theoretical issues. Section 1.2 is devoted to vortex structures in stratified fluids, with focus on theoretical models describing their decay. Again, laboratory experiments will play a central part in the discussion. Finally, some general conclusions will be drawn in Sect. 1.3. For additional aspects of the laboratory modelling of geophysical vortices the interested reader is referred to the review papers [14] and [16].

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