Finite model of two-dimensional ideal hydrodynamics
- 1 November 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 46 (10) , 6417-6430
- https://doi.org/10.1103/physreva.46.6417
Abstract
A finite-dimensional su(N) Lie algebra equation is discussed that in the infinite N limit tends to the two-dimensional, inviscid vorticity equation on the torus. The equation is numerically integrated, for various values of N, and the time evolution of an (interpolated) stream function is compared with that obtained from a simple mode truncation of the continuum equation. The time-averaged vorticity moments and correlation functions are compared with canonical ensemble averages.Keywords
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