Abstract
The article discusses computational aspects of the kinematic problem of magnetic field generation by a Beltrami flow in a sphere. Galerkin's method is applied with a functional basis consisting of Laplace operator eigenfunctions. Dominant eigenvalues of the magnetic induction operator and associated magnetic eigenmodes are obtained numerically for a certain Beltrami flow for magnetic Reynolds numbers up to 100. The eigenvalue problem is solved by a highly optimized iterative procedure, which is quite general and can be applied to numerical treatment of arbitrary linear stability problems.
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Zheligovsky, V.A. Numerical solution of the kinematic dynamo problem for Beltrami flows in a sphere. J Sci Comput 8, 41–68 (1993). https://doi.org/10.1007/BF01060831
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DOI: https://doi.org/10.1007/BF01060831