High-beta (β»ε/q2) large-aspect-ratio (ε«1) tokamak equilibria are shown to be always stable to ideal magnetohydrodynamics (MHD) modes that are localized about a flux surface. Both the ballooning and interchange modes are shown to be stable. This work uses the analytic high-beta large-aspect-ratio tokamak equilibria developed by Cowley et al. [Phys. Fluids B 3, 2069 (1991)], which are valid for arbitrary pressure and safety factor profiles. The stability results make no assumption about these profiles nor the shape of the boundary.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes