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arXiv · 1102.1298

Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation

Matthias Sommer·Katharina Brazda·Michael Hantel
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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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Matthias Sommer, Katharina Brazda, Michael Hantel. 2011-02-07. Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation. https://doi.org/10.1016/j.physleta.2011.07.038

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