Computation of symmetric ideal MHD flow equilibria

Bogoyavlenskij symmetries of ideal MHD equilibria as Lie point transformations

In this paper we establish the correspondence between Bogoyavlenskij symmetries [1, 2] of the MHD equilibrium equations and Lie point transformations of these equations. We show that certain non-trivial Lie point transformations (that are obtained by direct application of Lie method) are equivalent to Bogoyavlenskij symmetries. PACS Codes: 05.45.-a , 02.30.Jr, 02.90.+p, 52.30.Cv.

Azimuthally symmetric MHD and two–fluid equilibria with arbitrary flows

Magnetohydrodynamic (MHD) and two–fluid quasi-neutral equilibria with azimuthal symmetry, gravity and arbitrary ratios of (nonrelativistic) flow speed to acoustic and Alfvén speeds are investigated. In the two–fluid case, the mass ratio of the two species is arbitrary, and the analysis is therefore applicable to electron–positron plasmas. The methods of derivation can be extended in an obvious ...

Translationally symmetric extended MHD via Hamiltonian reduction: Energy-Casimir equilibria

Computation of Tokamak Equilibria With Steady Flow

At present controlled therm onuclear fusion research is close to dem onstrating the feasibility of a fusion reactor. Three large tokam ak devices, TFTR , JE T , and JT-60, aim at break-even. These experiments are diagnosed and controlled by utiliz­ ing codes which are based on various plasma models. M acroscopic models describing equilibri­ um , stability and transport are am ong the most im po...

Gravitational Collapse of Magnetized Clouds I. Ideal Mhd Accretion Flow

We study the self-similar collapse of an isothermal magnetized rotating cloud in the ideal magnetohydrodynamic (MHD) regime. In the limit of small distance from the accreting protostar we find an analytic solution that corresponds to free-fall onto a central mass point. The density distribution is not spherically symmetric but depends on the mass loading of magnetic field lines, which can be ob...