Abstract:An extension is proposed to the internal symmetry transformations associated with mass, entropy and other Clebsch-related conservation in geophysical fluid dynamics. Those symmetry transformations were previously parameterized with an arbitrary function F of materially conserved Clebsch potentials. The extension consists in adding potential vorticity q to the list of fields on which a new arbitrary function G depends. If G = qA(s), where A(s) is an arbitrary function of specific entropy s, then the symmetry is… Show more
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