Computer Science – Numerical Analysis
Scientific paper
Apr 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aca....43..161m&link_type=abstract
Acta Astronomica (ISSN 0001-5237), vol. 43, no. 2, p. 161-176.
Computer Science
Numerical Analysis
10
Coronal Loops, Magnetohydrodynamic Waves, Wave Interaction, Gas Density, Mathematical Models, Numerical Analysis, Solar Magnetic Field, Wave Propagation
Scientific paper
The temporal evolution of magnetohydrodynamic waves in solar coronal loops is studied by means of numerical simulations. Coronal loops are represented by smoothed slabs of enhanced gas density embedded within a uniform magnetic field. The simulations show that for a smoothed density profile there is an energy leakage from the slab, associated with the propagation of sausage and kink waves. This leakage is responsible for a cross-talk between two parallel slabs. It is found that the presence of a second slab causes an asymmetry in the flow which is perpendicular to the slabs. This asymmetry is a result of a total reflection which occurs at the second slab and causes wave trapping. As the kink wave is more robust than the sausage wave, the kink-kink wave interaction is weak whereas the sausage-kink wave interaction can lead to a destruction of the sausage wave. Impulsively generated waves in the parallel slabs exhibit periodic, quasi-periodic and decay phases in an accordance with some observations. Time-signatures of such waves are more complicated than for an isolated slab as a presence of the second slab causes the wave propagation asymmetric.
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