Available potential energy density for Boussinesq fluid flow

KB Winters, R Barkan - Journal of Fluid Mechanics, 2013 - cambridge.org
KB Winters, R Barkan
Journal of Fluid Mechanics, 2013cambridge.org
… Although our discussion here is confined to available potential energy under the Boussinesq
approximation, similar ideas apply to the mixing of potential vorticity (Wood & McIntyre 2010). In
§2 we consider a Boussinesq fluid with a linear equation of state, and revisit briefly the definition
of available potential energy Ea in a finite volume V and its interpretation in terms of an
adiabatic re-sorting of infinitesimal fluid parcels. In §3 we show that the expression for available
potential energy density of Roullet & Klein (2009) can be written as the sum of two terms: the …
An exact expression , these maps are explicitly connected to known, exact, temporal evolution equations for kinetic, available and background potential energies.
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