Structure and computation of two-dimensional incompressible extended MHD

A comprehensive study of the extended magnetohydrodynamic model obtained from the two-fluid theory for electrons and ions with the enforcement of quasineutrality is given. Starting from the Hamiltonian structure of the fully three-dimensional theory, a Hamiltonian two-dimensional incompressible four...

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Bibliographic Details
Published in:Physics of plasmas 2017-01, Vol.24 (1)
Main Authors: Grasso, D., Tassi, E., Abdelhamid, H. M., Morrison, P. J.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Energy conservation
Equations of motion
Fluid flow
Incompressible flow
Invariants
Magnetohydrodynamics
Physics
Plasma Physics
Three dimensional models
Two dimensional models
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Summary:A comprehensive study of the extended magnetohydrodynamic model obtained from the two-fluid theory for electrons and ions with the enforcement of quasineutrality is given. Starting from the Hamiltonian structure of the fully three-dimensional theory, a Hamiltonian two-dimensional incompressible four-field model is derived. In this way, the energy conservation along with four families of Casimir invariants is naturally obtained. The construction facilitates various limits leading to the Hamiltonian forms of Hall, inertial, and ideal MHD, with their conserved energies and Casimir invariants. Basic linear theory of the four-field model is treated, and the growth rate for collisionless reconnection is obtained. Results from nonlinear simulations of collisionless tearing are presented and interpreted using, in particular, normal fields, a product of the Hamiltonian theory that gives rise to simplified equations of motion.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4974039