Using the nonlinear geometrical acoustics method in the problem of moreton and EUV wave propagation in the solar corona |
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Authors: | An N Afanasyev A M Uralov V V Grechnev |
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Institution: | 1.Institute of Solar-Terrestrial Physics, Siberian Branch,Russian Academy of Science,Irkutsk,Russia |
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Abstract: | Propagation of shock related Moreton and EUV waves in the solar atmosphere is simulated by the nonlinear geometrical acoustics
method. This method is based on the ray approximation and takes account of nonlinear wave features: dependence of the wave
velocity on its amplitude, nonlinear dissipation of wave energy in the shock front, and the increase in its duration with
time. The paper describes ways of applying this method to solve the propagation problem of a blast magnetohydrodynamic shock
wave. Results of analytical modeling of EUV and Moreton waves in the spherically symmetric and isothermal solar corona are
also presented. The calculations demonstrate deceleration of these waves and an increase in their duration. The calculation
results of the kinematics of the EUV wave observed on the Sun on January 17, 2010 are presented as an example. |
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