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Semigeostrophic time evolution of velocity gradient tensor invariants

Roulstone, Ian and White, A (2016) Semigeostrophic time evolution of velocity gradient tensor invariants Quarterly Journal of the Royal Meteorological Society, 142 (699). pp. 2579-2584.

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Abstract

The behaviour of quadratic invariants of the velocity gradient tensor is explored when the time evolution is governed by semigeostrophic forms of the shallow water equations. The evolution equation of a certain Jacobian involving the geostrophic flow is formally similar to its counterpart under the primitive shallow water equations. The resultant deformation and the Frobenius norm do not behave in this symmetrical way. A product of the study is a straightforward derivation of the semigeostrophic potential vorticity conservation property. Results are extended to 3D baroclinic flow by using isentropic coordinates.

Item Type: Article
Subjects : subj_Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Roulstone, IanI.Roulstone@surrey.ac.ukUNSPECIFIED
White, AUNSPECIFIEDUNSPECIFIED
Date : 30 June 2016
Identification Number : 10.1002/qj.2841
Copyright Disclaimer : This is the peer reviewed version of an article which has been accepted for publication in the Quarterly Journal of the Royal Meteorological Society. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Uncontrolled Keywords : shallow water equations; isentropic coordinates; potential vorticity; resultant deformation; Jacobian; Frobenius norm
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 18 May 2016 09:14
Last Modified : 12 Sep 2017 07:41
URI: http://epubs.surrey.ac.uk/id/eprint/810744

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