Abstract
Barotropic f-plane dipolar vortices were generated in a rotating fluid and a comparison was made with the so-called supersmooth f-plane solution which—in contrast to the classical Lamb–Chaplygin solution—is marked by an elliptical separatrix and a doubly continuously differentiable vorticity field. Dye-visualization and high-resolution particle-tracking techniques revealed that the observed dipole characteristics (separatrix aspect ratio, cross-sectional vorticity distribution and vorticity versus streamfunction relationship) are in close agreement with those of the supersmooth f-plane solution for the entire lifespan of the dipolar vortex.
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Acknowledgments
We thank the organizers of the IUTAM Symposium, in particular Hassan Aref and Dorte Glass for their effort and hospitality. Z.K. acknowledges the support from the Israel Science Foundation grant 628/06, and the financial support from the Netherlands Organization for Scientific Research (NWO) for his working visit at TUE. We are grateful to Enric Pallàs-Sanz for his contribution to the laboratory experiments.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Trieling, R., Santbergen, R., van Heijst, G. et al. Barotropic elliptical dipoles in a rotating fluid. Theor. Comput. Fluid Dyn. 24, 111–115 (2010). https://doi.org/10.1007/s00162-009-0133-6
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DOI: https://doi.org/10.1007/s00162-009-0133-6