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The velocity‐current formulation of magnetohydrodynamics
Author(s) -
Meir Am J.,
Schmidt Paul G.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700016
Subject(s) - magnetohydrodynamics , shielded cable , magnetic field , physics , current (fluid) , electromagnetic field , variable (mathematics) , mechanics , flow (mathematics) , current density , boundary value problem , boundary (topology) , space (punctuation) , classical mechanics , mathematical analysis , mathematics , computer science , thermodynamics , telecommunications , quantum mechanics , operating system
The traditional formulation of the MHD equations employs the magnetic field as the primary electromagnetic variable. Unless the flow region is electromagnetically shielded from the surrounding space, boundary conditions are needed for the magnetic field; these can rarely be derived from physical principles. Using the current density as the primary electromagnetic variable, it is possible to avoid artificial boundary conditions and fully account for the electromagnetic interaction between flow region and surrounding space. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)