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arXiv · hep-th/9206025

A finite model of two-dimensional ideal hydrodynamics

J. S. Dowker·A. Wolski
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Abstract

A finite-dimensional su($N$) Lie algebra equation is discussed that in the infinite $N$ limit (giving the area preserving diffeomorphism group) 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.

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J. S. Dowker, A. Wolski. 1992-06-05. A finite model of two-dimensional ideal hydrodynamics. https://doi.org/10.1103/physreva.46.6417

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