Nonlinear magnetohydrodynamics by Galerkin-method computation

Xiaowen Shan, David Montgomery, and Hudong Chen
Phys. Rev. A 44, 6800 – Published 1 November 1991
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Abstract

A fully spectral numerical code is used to explore the properties of voltage-driven dissipative magnetofluids inside a periodic cylinder with circular cross section. The trial functions are orthonormal eigenfunctions of the curl (Chandrasekhar-Kendall functions). Transitions are observed from axisymmetric resistive equilibria without flow to helically deformed laminar states with flow, and between pairs of helical laminar states with different pairs of poloidal and toroidal m and n numbers. States of minimum energy-dissipation rate seem to be preferred. At high values of the pinch ratio, fully developed magnetohydrodynamic turbulence is observed.

  • Received 24 July 1991

DOI:https://doi.org/10.1103/PhysRevA.44.6800

©1991 American Physical Society

Authors & Affiliations

Xiaowen Shan, David Montgomery, and Hudong Chen

  • Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755-3528

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Issue

Vol. 44, Iss. 10 — November 1991

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