The Physics of Fluids · 1977 · 233 citations · 15 references
Natural SciencesPhysicsComputational PhysicsFluid DynamicsPlasma PhysicsFusion PlasmasHigh-temperature PlasmasMagnetic Confinement FusionMagnetized PlasmaMagnetohydrodynamicsNonlinear Plasma DynamicsLarge-amplitude StabilityPoloidal Magnetic FieldsTokamak EquilibriumTokamak PhysicsTokamak PlasmasTokamak Stability
The study extends reduced nonlinear low‑β tokamak MHD equations to the high‑β regime. Using a large‑aspect‑ratio ordering, the authors model the dynamics with three variables (poloidal magnetic field, velocity, and pressure) and solve the equations numerically to compute two‑dimensional equilibria. The computed equilibria are unstable to ballooning modes that grow to large amplitude in nonlinear, three‑dimensional simulations.
The reduced nonlinear low β tokamak magnetohydrodynamic equations are extended to the case of high β. A large aspect ratio ordering is used. The dynamics can be described using only three variables: the stream functions for the poloidal magnetic field and velocity, and the pressure. The equations are solved numerically to find two-dimensional equilibria. These equilibria can be unstable to ballooning modes, which tend to grow to large amplitude in nonlinear, three-dimensional computations.
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Numerical studies of nonlinear evolution of kink modes in tokamaks
M. N. Rosenbluth, D. Monticello, H. R. Strauss et al. · The Physics of Fluids · 1976 · 137 citations