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Turbulent Disruptions From The Strauss Equations, Jill Potkalitsky Dahlburg
Turbulent Disruptions From The Strauss Equations, Jill Potkalitsky Dahlburg
Dissertations, Theses, and Masters Projects
The subject of this thesis is an analysis of results from pseudospectral simulation of the Strauss equations of reduced three-dimensional magnetohydrodynamics. We have solved these equations in a rigid cylinder of square cross section, a cylinder with perfectly conducting side walls, and periodic ends. We assume that the uniform-density magnetofluid which fills the cylinder is resistive, but inviscid. Situations which we are considering are in several essential ways similar to a tokamak-like plasma; an external magnetic field is imposed, and the plasma carries a net current which produces a poloidal magnetic field of sufficient strength to induce current disruptions. These …
Stability And Transition Of The Driven Magnetohydrodynamic Sheet Pinch, Russell B. Dahlburg
Stability And Transition Of The Driven Magnetohydrodynamic Sheet Pinch, Russell B. Dahlburg
Dissertations, Theses, and Masters Projects
The stability and transition properties of a bounded, current carrying magnetofluid are explored, using the hydrodynamic theory developed for plane shear flows as a guide. A driven magnetohydrodynamic sheet pinch equilibrium is employed. A sixth order, complex eigenvalue equation which governs the normal modes of small oscillations is derived, and solved numerically by the Chebyshev tau method. Eigenfunctions are shown, as well as the curve of neutral stability. The locus of critical Lundquist numbers has the form of a hyperbola. The nonlinear stability of a primary disturbance of the system is considered. For regions in parameter space close to criticality, …