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Green’s functions for Rossby waves

Published online by Cambridge University Press:  02 October 2017

R. C. Kloosterziel Open the ORCID record for R. C. Kloosterziel [Opens in a new window]  and
L. R. M. Maas
R. C. Kloosterziel*
Affiliation:
School of Ocean and Earth Science and Technology, University of Hawaii, Honolulu, HI 96822, USA
L. R. M. Maas
Affiliation:
Institute for Marine and Atmospheric Research, Utrecht University, Princetonplein 5, 3584CC Utrecht, The Netherlands Royal Netherlands Institute for Sea Research, P.O. Box 59, 1790AB Texel, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

Compact solutions are presented for planetary, non-divergent, barotropic Rossby waves generated by (i) an impulsive point source and (ii) a sustained point source of curl of wind stress. Previously, only cumbersome integral expressions were known, rendering them practically useless. Our simple expressions allow for immediate numerical visualization/animation and further mathematical analysis.

JFM classification

Geophysical and Geological Flows: Geophysical and Geological Flows Geophysical and Geological Flows: Rotating flows Geophysical and Geological Flows: Waves in rotating fluids
Type
Papers
Information
Journal of Fluid Mechanics , Volume 830 , 10 November 2017 , pp. 387 - 407
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Copyright
© 2017 Cambridge University Press 

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