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Eulerian and Lagrangian velocity correlations in two-dimensional random geostrophic flows

Published online by Cambridge University Press:  10 May 1997

H. L. PÉCSELI  and
J. TRULSEN
H. L. PÉCSELI
Affiliation:
Institute of Physics, University of Oslo, Box 1048 Blindern, N-0316 Oslo, Norway
J. TRULSEN
Affiliation:
Institute of Theoretical Astrophysics, University of Oslo, Box 1029 Blindern, N-0315 Oslo, Norway
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Abstract

Random flows in rotating fluid layers are studied in two spatial dimensions. The Eulerian and Lagrangian correlation functions for such flows are analysed by approximating the actual two-dimensional flow by an autonomous system consisting of many overlapping and mutually convecting vortices. Analytical expressions for the full space–time-varying Eulerian velocity correlation are derived solely in terms of flow parameters. An extension of the arguments giving these results also allows the derivation of analytical expressions for the Lagrangian velocity correlation function. The analytical results are supported by a numerical simulation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 338 , 10 May 1997 , pp. 249 - 276
Copyright
© 1997 Cambridge University Press

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