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Numerical magnetohydrodynamics

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Author
Abstract

The ideal MagnetoHydroDynamic (MHD) equations accurately describe the macroscopic dynamics of a perfectly conducting plasma. Adopting a continuum, single fluid description in terms of the plasma density rho, velocity v, thermal pressure p and magnetic field B, the ideal MHD system expresses conservation of mass, momentum, energy, and magnetic flux. This nonlinear, conservative system of 8 partial differential equations enriches the Euler equations governing the dynamics of a compressible gas with the dynamical influence - through the Lorentz force - and evolution - through the additional induction equation - of the magnetic field B. In multi-dimensional problems, the topological constraint expressed by the Maxwell equation del - B = 0, represents an additional complication for numerical MHD. Basic concepts of shock-capturing high-resolution schemes for computational MHD are presented, with an emphasis on how they cope with the thight physical demands resulting from nonlinearity, compressibility, conservation, and solenoidality.

Year of Publication
2008
Journal
Fusion Science and Technology
Volume
53
Number
2T
Number of Pages
135-143
Date Published
Feb
Type of Article
Article
ISBN Number
1536-1055
Accession Number
ISI:000253871700016
URL
PId
f9e2d5e046024e5337d0fdc08908bfe3
Alternate Journal
Fusion Sci. Technol.
Journal Article
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