Expansions of non-symmetric toroidal magnetohydrodynamic equilibria

Weitzner, Harold

doi:10.1063/1.4954048

Expansions of non-symmetric toroidal magnetohydrodynamic equilibria

Journal Article · Tue Jun 21 04:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4954048· OSTI ID:1467570

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New York Univ. (NYU), New York, NY (United States); New York University

Here, expansions of non-symmetric toroidal ideal magnetohydrodynamic equilibria with nested flux surfaces are carried out for two cases. The first expansion is in a topological torus in three dimensions, in which physical quantities are periodic of period 2π in y and z. Data is given on the flux surface x = 0. Despite the possibility of magnetic resonances the power series expansion can be carried to all orders in a parameter which measures the flux between x = 0 and the surface in question. Resonances are resolved by appropriate addition resonant fields. The second expansion is about a circular magnetic axis in a true torus. It is also assumed that the cross section of a flux surface at constant toroidal angle is approximately circular. The expansion is in an analogous flux coordinate, and despite potential resonance singularities, may be carried to all orders. Non-analytic behavior occurs near the magnetic axis. Physical quantities have a finite number of derivatives there. The results, even though no convergence proofs are given, support the possibility of smooth, well-behaved non-symmetric toroidal equilibria.

View Accepted Manuscript (DOE)

Research Organization:: New York Univ. (NYU), New York, NY (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-86ER53223

OSTI ID:: 1467570

Alternate ID(s):: OSTI ID: 1258497

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 23; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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