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

作者:Sommer M*; Brazda K; Hantel M
来源:Physics Letters A, 2011, 375(37): 3310-3313.
DOI:10.1016/j.physleta.2011.07.038

摘要

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.

  • 出版日期2011-8-29