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Nonlinear Evolution of the Resistive Tearing Mode

Published online by Cambridge University Press:  04 August 2017

R. S. Steinolfson
Affiliation:
Department of Physics University of California Irvine, California 92717
G. van Hoven
Affiliation:
Department of Physics University of California Irvine, California 92717

Abstract

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Numerical solutions of the MHD equations are used to investigate the nonlinear behavior of the tearing instability. The mode evolves from a linearly growing excitation, followed by a period of greatly reduced nonlinear growth. Constant-Ψ solutions evolve much more slowly than comparable nonconstant-Ψ modes with orders of magnitude less conversion of the stored magnetic energy. The nonconstant-Ψ computations indicate a reduction by approximately 20% of the energy in the initial shear layer. For long–wavelength solutions, secondary–flow vortices, opposite in direction to the linear vortices, generate a new magnetic island centered at the initial x-point.

Type
Session IV
Copyright
Copyright © Reidel 1985 

References

Furth, H. P., Killeen, J., and Rosenbluth, M. N.: 1963, Phys. Fluids 6, pp. 459484.CrossRefGoogle Scholar
Steinolfson, R. S., and Van Hoven, G.: 1983a, Phys. Fluids 26, pp. 117123.CrossRefGoogle Scholar
Steinolfson, R. S., and Van Hoven, G.: 1983b, submitted to Phys. Fluids.Google Scholar