A finite model of two-dimensional ideal hydrodynamics

Details A finite model of two-dimensional ideal hydrodynamics A finite model of two-dimensional ideal hydrodynamics

1992-06-05

arxiv.org/abs/hep-th/9206025v1

Physics

High Energy Physics

High Energy Physics - Theory

(25 p., 7 figures, not included. MUTP/92/1)

Scientific paper

10.1103/PhysRevA.46.6417

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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