Damping of nonlinear standing kink oscillations: a numerical study

Abstract

We aim to study the standing fundamental kink mode of coronal loops in the nonlinear regime, investigating the changes in energy evolution in the cross-section and oscillation amplitude of the loop which are related to nonlinear effects, in particular to the development of the Kelvin-Helmholtz instability (KHI). We run idea, high-resolution three-dimensional (3D) magnetohydrodynamics (MHD) simulations, studying the influence of the initial velocity amplitude and the inhomogeneous layer thickness. We model the coronal loop as a straight, homogeneous magnetic flux tube with an outer inhomogeneous layer, embedded in a straight, homogeneous magnetic field. We find that, for low amplitudes which do not allow for the KHI to develop during the simulated time, the damping time agrees with the theory of resonant absorption. However, for higher amplitudes, the presence of KHI around the oscillating loop can alter the loop's evolution, resulting in a significantly faster damping than predicted by the linear theory in some cases. This questions the accuracy of seismological methods applied to observed damping profiles, based on linear theory.

10 pages, 8 figures

References in corpus (5)

• MPI-AMRVAC for Solar and Astrophysics
• Nonlinear Instability of kink oscillations due to shear motions
• Fine strand-like structure in the solar corona from MHD transverse oscillations
• Analytic approximate seismology of transversely oscillating coronal loops
• Resonant absorption in complicated plasma configurations: applications to multi-stranded coronal loop oscillations

Cited by in corpus (21)

• Kink oscillations of coronal loops
• Heating by transverse waves in simulated coronal loops
• Energetics of the Kelvin-Helmholtz instability induced by transverse waves in twisted coronal loops
• Amplitudes and energy fluxes of simulated decayless kink oscillations
• The First 3D Coronal Loop Model Heated by MHD Waves against Radiative Losses
• Wave heating in gravitationally stratified coronal loops in the presence of resistivity and viscosity
• An Analytical Model of the Kelvin-Helmholtz Instability of Transverse Coronal Loop Oscillations
• Contribution of observed multi frequency spectrum of Alfvén waves to coronal heating
• Coronal cooling as a result of mixing by the nonlinear Kelvin--Helmholtz instability
• Coronal loop transverse oscillations excited by different driver frequencies
• Estimating the energy dissipation {from Kelvin-Helmholtz instability induced} turbulence in oscillating coronal loops}
• Wave pressure and energy cascade rate of kink waves computed with Elsasser variables
• Transition to turbulence in nonuniform coronal loops driven by torsional Alfven waves
• Standing kink waves in sigmoid solar coronal loops: implications for coronal seismology
• Three-dimensional simulations of the inhomogeneous Low Solar Wind
• Bayesian evidence for a nonlinear damping model for coronal loop oscillations
• Excitation and evolution of coronal oscillations in self-consistent 3D radiative MHD simulations of the solar atmosphere
• Do Periods of Decayless Kink Oscillations of Solar Coronal Loops Depend on Noise?
• The dynamics and observability of circularly polarized kink waves
• Transition to turbulence in nonuniform coronal loops driven by torsional Alfvén waves. II. Extended analysis and effect of magnetic twist
• Dissipative Instability of Magnetohydrodynamic Sausage Waves in a Compressional Cylindrical Plasma: Effect of Flow Shear and Viscosity Shear