A General Formulation of MHD Stability Including Flow and a Resistive Wall
L. Guazzotto, J.P. Freidberg, R. Betti · DSpace@MIT (Massachusetts Institute of Technology) · 2008
A general formulation is presented for determining the ideal MHD stability of an axisymmetric toroidal magnetic configuration including the effects of an arbitrary equilibrium flow velocity and a resistive wall. The system is inherently non self adjoint with the eigenvalue appearing in both the equations and the boundary conditions. Even so, after substantial analysis we show that the stability problem can be recast in the form of a standard eigenvalue problem: ω ⋅ = ⋅ z z A B which is highly desirable for numerical computation.