A discrete Nambu bracket for 2D extended Magnetohydrodynamics
Plasma Physics
2020-01-08 v1
Abstract
In this note we propose a trilinear bracket formulation for the Hamiltonian extended Magnetohydrodynamics (XMHD) model with homogeneous mass density. The corresponding two-dimensional representation is derived by performing spatial reduction on the three-dimensional bracket, upon introducing a symmetric representation for the field variables. Subsequently, the trilinear bracket of the resulting two-dimensional, four-field model is discretized using a finite difference scheme, which results in semi-discrete dynamics that involve the Arakawa Jacobian. Simulations of planar dynamics show that this scheme respects the desired conservation properties to high precision.
Keywords
Cite
@article{arxiv.1909.07202,
title = {A discrete Nambu bracket for 2D extended Magnetohydrodynamics},
author = {D. A. Kaltsas and M. Kraus and G. N. Throumoulopoulos},
journal= {arXiv preprint arXiv:1909.07202},
year = {2020}
}