A discrete Nambu bracket for 2D extended Magnetohydrodynamics
D A Kaltsas, M Kraus, G N Throumoulopoulos
Abstract
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.
BibTeX
@article{Kaltsas_2019,
title={A discrete Nambu bracket for 2D extended Magnetohydrodynamics},
volume={1391},
ISSN={1742-6596},
url={http://dx.doi.org/10.1088/1742-6596/1391/1/012037},
DOI={10.1088/1742-6596/1391/1/012037},
number={1},
journal={Journal of Physics: Conference Series},
publisher={IOP Publishing},
author={Kaltsas, D A and Kraus, M and Throumoulopoulos, G N},
year={2019},
month=Nov,
pages={012037} }