A general formulation is presented for determining the ideal magnetohydrodynamic 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, ωA · z=B · z, which is highly desirable for numerical computation. © 2008 American Institute of Physics.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
Guazzotto, L., Freidberg, J. P., & Betti, R. (2008). A general formulation of magnetohydrodynamic stability including flow and a resistive wall. Physics of Plasmas, 15(7), -. . https://doi.org/10.1063/1.2937161