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