Time-dependent kinematic dynamos with stationary flows

Physics

Scientific paper

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87

Body Kinematics, Dynamo Theory, Incompressible Flow, Potential Flow, Spheres, Bessel Functions, Eigenvalues, Iterative Solution, Legendre Functions, Reynolds Number, Time Dependence

Scientific paper

Numerical solutions to the magnetic induction equation in a sphere are obtained for a number of stationary velocity models. The difficulty in finding convergent steady solutions previously is explained by searching for nonsteady magnetic fields and showing that all magnetic field modes decay. Some nondecaying fields were found where only decaying or nonconvergent results were reported previously.

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