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Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation |
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| Authors: | M. Sommer K. Brazda M. Hantel |
| Affiliation: | a Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Vienna, Austria b Institute of Meteorology and Geophysics, University of Vienna, Althanstraße 14, 1090 Vienna, Austria c Theoretical Meteorology Research Forum, University of Vienna, Berggasse 11, 1090 Vienna, Austria |
| Abstract: | So far fluid mechanical Nambu brackets have mainly been given on an intuitive basis. Alternatively an algorithmic construction of such a bracket for the two-dimensional vorticity equation is presented here. Starting from the Lie-Poisson form and its algebraic properties it is shown how the Nambu representation can be explicitly constructed as the continuum limit from the structure preserving Zeitlin discretization. |
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