Potential Vorticity Formulation of Compressible Magnetohydrodynamics

Abstract

Compressible ideal magnetohydrodynamics (MHD) is formulated in terms of the time evolution of potential vorticity and magnetic flux per unit mass using a compact Lie bracket notation. It is demonstrated that this simplifies analytic solution in at least one very important situation relevant to magnetic fusion experiments. Potentially important implications for analytic and numerical modelling of both laboratory and astrophysical plasmas are also discussed.

Cited by in corpus (3)

• Geometric Results for Compressible Magnetohydrodynamics
• A geometric look at MHD and the Braginsky dynamo
• Beyond Linear Fields: the Lie-Taylor Expansion