A numerical study of the thermal stability of low-lying coronal loops

Mathematics

Scientific paper

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Boundary Value Problems, Coronal Loops, Energy Transfer, Perturbation, Thermal Stability, Computer Programs, Magnetic Signatures, Mass Transfer, Mathematical Models, Momentum Transfer

Scientific paper

The nonlinear evolution of loops that are subjected to a variety of small but finite perturbations was studied. Only the low-lying loops are considered. The analysis was performed numerically using a one-dimensional hydrodynamical model developed at the Naval Research Laboratory. The computer codes solve the time-dependent equations for mass, momentum, and energy transport. The primary interest is the active region filaments, hence a geometry appropriate to those structures was considered. The static solutions were subjected to a moderate sized perturbation and allowed to evolve. The results suggest that both hot and cool loops of the geometry considered are thermally stable against amplitude perturbations of all kinds.

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