S. Novo, M. Núñez and J.
Rojo
A fast numerical method for the
Alfvén spectrum of ideal magnetohydrodynamics
Phys. Fluids B, 3 (11)
(1991), pp. 2967-2972
Abstract:
A numerical method is developed to find the Alfvén spectrum
of axisymmetric toroidal equilibria. It involves the numerical integration
of ordinary differential equations only and is therefore faster than finite
element algorithms; moreover, the Alfvén frequencies of every flux
surface may be calculated independently from the rest. The method is applied
to the Shafranov-Solov'ev equilibrium for the first Fourier modes, and
the results are compared to those obtained with the geometrical optics
approximation. This comparison shows which of the parameters of the equilibrium
are relevant on each branch of spectral points. Other features observed
in the graphics obtained by this algorithm are also analyzed.
AMS(MOS) subject classification:
76W05, 34E05
Preprint file as PDF afastn.pdf