Vorticity, Potential Vorticity
This lecture recalls the basic properties of vorticity and provides a summary of the main conservation laws associated with vorticity and its related quantities. It will be stated as clearly as possible how these different properties are used in industrial situations and in geophysical flows. The content is very classic; details of calculations may be found in chapter 2 of Pedlosky’s book  and in chapter 1 of Greenspan’s book . The subject of vorticity dynamics is one which is attracting much attention at the moment; this presentation of vorticity dynamics is restricted to some basic properties that are used in this volume. More complex conservation laws, like for instance the conservation of helicity in a vortical flow (Moffatt ), arc not discussed. The dynamics of point vortices (Aref et al ) is also not treated in this volume. An advanced account of the dynamics of vortex filament dynamics is given in this volume by Moore .
KeywordsPotential Vorticity Vortex Tube Point Vortex Relative Vorticity Rossby Number
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- 1.Pedlosky J.: Geophysical Fluid Dynamics, Springer Verlag, 1977.Google Scholar
- 5.Moore D.W.: Dynamics of vortex filaments, this volume.Google Scholar
- 6.Hopfinger E.J.: Parameters, scales and geostrophic balance. This volumeGoogle Scholar
- 7.Maxworthy T.: Wave motions in a rotating and/or stratified fluid, this volume.Google Scholar
- 8.Lewellen W.S.: Review of confined vortex flows, Space Propulsion Laboratory, M.I.T., Cambridge, Mass., 1971.Google Scholar
- 11.Mory, M. & Spohn, A.: Vortex flow generated by a rotating disc. This volume.Google Scholar
- 12.Read P.L.: Dynamics and Instabilities of Ekman and Stewartson layers. This volume.Google Scholar