Physics
Scientific paper
May 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cophc..59...61v&link_type=abstract
Computer Physics Communications, Volume 59, Issue 1, p. 61-73.
Physics
11
Scientific paper
An efficient method is presented for the numerical study of the stability of line-tied coronal plasmas. This method uses a finite element discretization in the direction normal to the magnetic flux surfaces and a Fourier series analysis in the axial direction for solving the differential equations that govern linear perturbations of a static equilibrium. It has a wide range of possible applications both in ideal and non-ideal magnetohydrodynamic stability investigations.
As an example, the numerical method is used to investigate the ideal MHD stability of a straight line-tied cylindrical plasma, modelling a coronal loop. It is found that line-tying has a notable stabilizing influence on both internal and external modes in the sense that it reduces the growthrate of the unstable modes as compared to the case of an infinite or periodic cylinder. For a fixed equilibrium profile, complete stabilization is obtained as soon as the cylinder length is reduced below a critical value.
Goossens Marcel
Kerner Wolfgang
van der Linden Ronald A. M.
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