Hamiltonian and action formalisms for two-dimensional gyroviscous magnetohydrodynamics
A general procedure for constructing action principles for continuum models via a generalization of Hamilton's principle of mechanics is described. Through the procedure, an action principle for a gyroviscous magnetohydrodynamics model is constructed. The model is shown to agree with a reduced version of Braginskii's fluid equations. The construction reveals the origin of the gyromap, a device used to derive previous gyrofluid models. Also, a systematic reduction procedure is presented for obtaining the Hamiltonian structure in terms of the noncanonical Poisson bracket. The construction procedure yields a class of Casimir invariants, which are then used to construct variational principles for equilibrium equations with flow and gyroviscosity. The procedure for obtaining reduced fluid models with gyroviscosity is also described.
- OSTI ID:
- 22303753
- Journal Information:
- Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 21; ISSN PHPAEN; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
Similar Records
On Hamiltonian and Action Principle Formulations of Plasma Dynamics
A class of three-dimensional gyroviscous magnetohydrodynamic models
Hamiltonian magnetohydrodynamics: Helically symmetric formulation, Casimir invariants, and equilibrium variational principles
Journal Article
·
Mon Nov 09 23:00:00 EST 2009
· AIP Conference Proceedings
·
OSTI ID:21335672
A class of three-dimensional gyroviscous magnetohydrodynamic models
Journal Article
·
Tue Sep 22 00:00:00 EDT 2020
· Journal of Plasma Physics
·
OSTI ID:1850238
Hamiltonian magnetohydrodynamics: Helically symmetric formulation, Casimir invariants, and equilibrium variational principles
Journal Article
·
Tue May 15 00:00:00 EDT 2012
· Physics of Plasmas
·
OSTI ID:22072320