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Session KP01 - Poster Session III.
POSTER session, Tuesday afternoon, March 23
Exhibit Hall, GWCC

[KP01.37] The theory of 3-D equilibrium

Leonid E. Zakharov (Princeton University, PPPL)

New, Reference Magnetic Coordinates (RMC), are proposed for 3-D MHD. Because of intrinsic anisotropy of high temperature plasma with respect to magnetic field, use of proper coordinates is of highest priority for both theory and numerical methods. While in axisymmetric case, the poloidal flux function \Psi(r,z)=const determines proper flux coordinates, in 3-D, such a function does not exist, and both theory and numerical methods have difficulties in describing 3-D magnetic fields. At the best, they rely on numerical technique of the field line tracing in order to describe the magnetic field. But this approach in incapable to resolve principal problems of 3-D MHD, such as a) self-consistent calculation of 3-D equilibria, b) the problem of S-parameter, and c) the problem of fast magneto-sonic waves. Here, we present the fast algorithm of construction of RMC, which are the most suitable for high-temperature MHD. As one of applications of RMC, the rigorous theory of 3-D equilibrium is formulated, which is not restricted by assumption of existence of the flux surfaces.

Part K of program listing