On the interactions of hydrodynamic shock waves in stellar atmospheres

Astronomy and Astrophysics – Astrophysics

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Hydrodynamics Shock Waves, Stellar Atmospheres, Solar Atmosphere, Solar Chromosphere, Solar Oscillations

Scientific paper

We study the effects of non-linear interactions of hydrodynamic shock waves in the solar atmosphere and their influence on the resonant oscillations at the cut-off frequency The shock waves originate from randomly generated wave packets with broad frequency distributions as opposed to previous studies which start with monochromatic wave trains, single pulses or, at the most, regular waves trains with stochastically changing periods. We consider only one-dimensional (vertical) adiabatic or isothermal hydrodynamics using a numerical code based on a modified flux corrected transport algorithm. The results are analyzed by applying Fourier methods, i.e. power and phase difference spectra. The dynamical behaviour of an atmosphere excited by a broad spectrum.of acoustic waves differs extremely from that disturbed by monochromatic waves. Due to shock overtaking processes almost all the high frequency shock waves merge and form strong long period shock waves. Comparing the results of three different frequency spectra it is shown that the detailed form of the excitation spectrum is only of minor importance. The results show that shock overtaking does not generate the characteristic cut-off frequency oscillations. We observe these particular oscillations only when we add a long period evanescent component with ω≤ωac to the acoustic spectrum at the base of the atmosphere. Consequences for the shock heating of the solar chromosphere are briefly discussed.

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