A 'string function' for describing the propagation of large scale energy anomalies in a rotating fluid.

Tyler, Robert H. and Käse, Rolf H. (2000) A 'string function' for describing the propagation of large scale energy anomalies in a rotating fluid. Geophysical and Astrophysical Fluid Dynamics, 92 . pp. 31-64. DOI 10.1080/03091920008203710.

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Abstract

Just as a stream function gives both a qualitative and quantitative description of the flow, a 'string function' can be constructed to describe the propagation in a rotating fluid of large-scale energy anomalies such as eddies and Rossby waves. To simply introduce the string function in this paper, we consider only a homogenous 1-layer fluid. In this case, the string function is inversely proportional to large-scale potential vorticity and the contours of both are aligned. The string function contains more information, however, because the propagation speeds are described by the contour spacing. We introduce the string function and use it to derive and reinterpret governing equations for linear and nonlinear shallow-water dynamics. The string function allows for simple evolution equations incorporating both beta and topographic effects.

Document Type: Article
Keywords: Potential vorticity, geostrophic contours, string function, eddy propagation, Rossby wave
Research affiliation: OceanRep > GEOMAR > FB1 Ocean Circulation and Climate Dynamics > FB1-TM Theory and Modeling
Refereed: Yes
Open Access Journal?: No
DOI etc.: 10.1080/03091920008203710
ISSN: 0016-7991
Date Deposited: 18 Feb 2008 17:24
Last Modified: 28 Sep 2017 08:57
URI: http://oceanrep.geomar.de/id/eprint/6107

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