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A note on complete sets of material conservation laws

Published online by Cambridge University Press:  26 April 2006

Joseph Egger
Joseph Egger
Affiliation:
Meteorologisches Institut, Universität München, Theresienstrasse 37, D-8000, München 2, FRG
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Abstract

An attempt is made to derive complete sets of conservation laws for various flows. It is shown that the equations of three-dimensional adiabatic flow cannot be transformed into a complete set of conservation laws. It is demonstrated that potential vorticity is the only material invariant of shallow-water flow. A complete set can be derived for three-dimensional homogeneous flow, if Lagrangian tracers are added.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 204 , July 1989 , pp. 543 - 548
Copyright
© 1989 Cambridge University Press

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