Parallel transport in ideal magnetohydrodynamics and applications to resistive wall modes

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871709· OSTI ID:284310

Finn, J M; Gerwin, R A ^[1]

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1. Theoretical Division, T-15, MS K717, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

It is shown that in magnetohydrodynamics (MHD) with an ideal Ohm{close_quote}s law, in the presence of parallel heat flux, density gradient, temperature gradient, and parallel compression, but in the absence of perpendicular compressibility, there is an exact cancellation of the parallel transport terms. This cancellation is due to the fact that magnetic flux is advected in the presence of an ideal Ohm{close_quote}s law, and therefore parallel transport of temperature and density gives the same result as perpendicular advection of the same quantities. Discussions are also presented regarding parallel viscosity and parallel velocity shear, and the generalization to toroidal geometry. These results suggest that a correct generalization of the Hammett{endash}Perkins fluid operator [G. W. Hammett and F. W. Perkins, Phys. Rev. Lett. {bold 64}, 3019 (1990)] to simulate Landau damping for electromagnetic modes must give an operator that acts on the dynamics parallel to the {ital perturbed} magnetic field lines. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 284310
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 3; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
LANDAU DAMPING
MAGNETIC FLUX
MAGNETOHYDRODYNAMICS
OHM LAW
PLASMA MACROINSTABILITIES
TEARING INSTABILITY
TOKAMAK DEVICES
TRANSPORT THEORY
VISCOSITY
WALL EFFECTS