Explicit Lie-Poisson integration and the Euler equations
chao-dyn
2009-10-22 v1 comp-gas
Chaotic Dynamics
Cellular Automata and Lattice Gases
Abstract
We give a wide class of Lie-Poisson systems for which explicit, Lie-Poisson integrators, preserving all Casimirs, can be constructed. The integrators are extremely simple. Examples are the rigid body, a moment truncation, and a new, fast algorithm for the sine-bracket truncation of the 2D Euler equations.
Cite
@article{arxiv.chao-dyn/9304011,
title = {Explicit Lie-Poisson integration and the Euler equations},
author = {Robert I. McLachlan},
journal= {arXiv preprint arXiv:chao-dyn/9304011},
year = {2009}
}
Comments
7 pages, compile with AMSTEX; 2 figures available from author