Resonant absorption of Alfven waves in coronal loops in visco-resistive MHD

Details Resonant absorption of Alfven waves in coronal loops in visco-resistive MHD Resonant absorption of Alfven waves in coronal loops in visco-resistive MHD

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...294..575e&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 294, no. 2, p. 575-586

Computer Science

Numerical Analysis

47

Coronal Loops, Energy Absorption, Energy Dissipation, Magnetohydrodynamic Waves, Stress Tensors, Viscosity, Computerized Simulation, Finite Element Method, Galerkin Method, Magnetohydrodynamics, Numerical Analysis, Solar Magnetic Field

Scientific paper

This paper uses numerical simulations in linear visco-resistive MHD for determining the dominant dissipative mechanism for the stationary state of resonant absorption of MHD waves in coronal loops. The full Braginskii viscous stress tensor with five viscosity coefficients and electrical resistivity are included in the MHD equations. The coronal loops are approximated by straight, cylindrical, axisymmetric plasma columns with equilibrium quantities which vary only in the radial direction. The simulations are carried out with a numerical code that uses finite elements for the spatial discretization combined with the Galerkin method. Computations in viscous MHD (in the absence of electrical resistivity) show that shear viscosity produces the largest contribution to the absorption and that the contributions due to the compressive and perpendicular components of the viscous stress tensor can be neglected for all practical purposes. Computations in visco-resistive MHD reveal that on the whole it is not possible to distinguish between shear viscosity and electrical resistivity as the most efficient dissipative mechanism for resonant absorption. The relative importance of these two dissipative mechanisms depends on the equilibrium conditions of density and magnetic field strength so that there are situations in which either electrical resisitivity or shear viscosity is the most effective mechanism and in which both mechanisms are equally efficient.

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