A finite model of two-dimensional ideal hydrodynamics
High Energy Physics - Theory
2009-10-22 v1
Abstract
A finite-dimensional su() Lie algebra equation is discussed that in the infinite 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 , 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
Cite
@article{arxiv.hep-th/9206025,
title = {A finite model of two-dimensional ideal hydrodynamics},
author = {J. S. Dowker and A. Wolski},
journal= {arXiv preprint arXiv:hep-th/9206025},
year = {2009}
}
Comments
(25 p., 7 figures, not included. MUTP/92/1)