Computer Science – Numerical Analysis
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gapfd..25..293s&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 25, no. 4, Aug. 1983, p. 293-307.
Computer Science
Numerical Analysis
24
Asymptotic Methods, Dynamo Theory, Helical Flow, Magnetic Fields, Magnetohydrodynamic Flow, Magnetohydrodynamic Turbulence, Eigenvalues, Numerical Analysis, Turbulent Diffusion
Scientific paper
The turbulent dynamo equation with non-uniform mean helicity is solved in an approximation, which is similar to the quasi-classical approximation of quantum mechanics. The rate of growth of the magnetic field is evaluated and a condition for dynamo action is obtained. The generated magnetic field is concentrated in the vicinity of an extremum of mean helicity but in general vanishes at the point of the extremum. The field is asymptotically force-free. The results obtained here clarify the fact, known from numerical calculations, that the threshold values of the dynamo-number for excitation of dipole and quadrupole modes are very close to each other.
Ruzmaikin Aleksandr
Shukurov Anvar
Sokolov Dmitri
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