Exact Nonlinear Decomposition of Ideal-MHD Waves Using Eigenenergies
Abbas Raboonik,
Lucas A. Tarr,
David I. Pontin
Abstract:In this paper, we introduce a new method for exact decomposition of propagating, nonlinear magnetohydrodynamic (MHD) disturbances into their component eigenenergies associated with the familiar slow, Alfvén, and fast wave eigenmodes, and the entropy and field-divergence pseudoeigenmodes. First, the mathematical formalism is introduced, where it is illustrated how the ideal-MHD eigensystem can be used to construct a decomposition of the time variation of the total energy density into contributions from the eige… Show more
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