ISSN:
1436-5065
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geography
,
Physics
Notes:
Summary As characteristic of a quasi-hydrostatic and isentropic shallowfluid atmosphere, a criterion of conservation along trajectories is derived for an integral solenoid term, or, by incorporating the mass continuity equation, a corresponding differential quantity. In the latter case, the individual invariant consists of the product of a static stability parameter (−δθ/δp) and the vertical component of the solenoidal vector ∇θ x(w∇θ z). By this coupling one is led to the dynamical importance this in variance principle attains through its direct interdependency with ERTEL's potential vorticity theorem. In combination the two invariance principles mediate a fuller description of the potential vorticity conservation than the “classical” principle concerning the invariant ηθδθ/δp.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01029607
