Actions for Some Properties of the M3D-C1 Form of the 3D Magnetohydrodynamics Equations [electronic resource].

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Some Properties of the M3D-C1 Form of the 3D Magnetohydrodynamics Equations [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy. Office of Science, 2009.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
714Kb : digital, PDF file
Additional Creators
Princeton University. Plasma Physics Laboratory, United States. Department of Energy. Office of Science, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
We introduce a set of scalar variables and projection operators for the vector momentum and magnetic field evolution equations that have several unique and desirable properties, making them a preferred system for solving the magnetohydrodynamics equations in a torus with a strong toroidal magnetic field. We derive a "weak form" of these equations that explicitly conserves energy and is suitable for a Galerkin finite element formulation provided the basis elements have C1 continuity. Systems of reduced equations are discussed, along with their energy conservation properties. An implicit time advance is presented that adds diagonally dominant self-adjoint energy terms to the mass matrix to obtain numerical stability.
Report Numbers
E 1.99:pppl-4425
pppl-4425
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Note
Published through SciTech Connect.
07/10/2009.
"pppl-4425"
J. Breslau, N. Ferraro, S. Jardin.
Funding Information
DE-AC02-09CH11466
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