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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References
Barnes, A., Theory of Magnetohydrodynamic Waves: The WKB Approximation Revisited, J. Geophys. Res., 1992,vol. 97, no. A8, pp. 12105–12112.
Biesecker, D.A., Myers, D.C., Thompson, B.J., et al., Solar Phenomena Associated with “EIT Waves”, Astrophys. J., 2002, vol. 569, pp. 1009–1015.
Blokhintsev, D.I., Akustika neodnorodnoi dvizhushcheisya sredy (Acoustics of an Inhomogeneous Medium), Moscow: Nauka, 1981.
Chen, P.F., Fang, C., and Shibata, K., A Full View of EIT Waves, Astrophys. J., 2005, vol. 622, pp. 1202–1210.
Delannée, C. and Aulanier, G., CME Associated with Transequatorial Loops and a Bald Patch Flare, Solar Phys., 1999, vol. 190, pp. 107–129.
Gallagher, P.T. and Long, D.M., Large-Scale Bright Fronts in the Solar Corona: a Review of “EIT waves,” 2010. http://arxiv.org/abs/1006.0140
Grechnev, V.V., Uralov, A.M., Slemzin, V.A., et al., Absorption Phenomena and a Probable Blast Wave in the 13 July 2004 Eruptive Event, Solar Phys., 2008, vol. 253, pp. 263–290.
Klassen, A., Aurass, H., Mann, G., and Thompson, B.J., Catalogue of the 1997 SOHO-EIT Coronal Transient Waves and Associated Type II Radio Burst Spectra, Astron. Astrophys. Suppl. Ser., 2000, vol. 141, pp. 357–369.
Kravtsov, Yu.A. and Orlov, Yu.I., Geometricheskaya optika neodnorodnykh sred (Geometric Optics of Inhomogeneous Media), Moscow: Nauka, 1980.
Kestenboim, Kh.S., Roslyakov, G.S., and Chudov, L.A., Tochechnyi vzryv (Point Explosion), Moscow: Nauka, 1974.
Kulikovskii, A.G. and Lyubimov, G.A., Magnitnaya gidrodinamika (Magnetohydrodynamics), Moscow: Fizmatgiz, 1962.
Landau, L.D. and Lifshits, E.M., Teoreticheskaya fizika. Gidrodinamika (Theoretical Physics: Hydrodynamics), Moscow: Nauka, 1986.
Patsourakos, S., Vourlidas, A., Wang, Y.-M., et al., What is the Nature of EUV Waves? First STEREO 3D Observations and Comparison with Theoretical Models, Astrophys. J., 2009, vol. 259, pp. 49–71.
Schmidt, J.M. and Ofman, L., Global Simulation of an Extreme Ultraviolet Imaging Telescope Wave, Astrophys. J., 2010, vol. 713, pp. 1008–1015.
Temmer, M., Vršnak, B., Žic, T., and Veronig, A.M., Analytic Modeling of the Moreton Wave Kinematics, Astrophys. J., 2009, vol. 702, pp. 1343–1352.
Thompson, B.J., Gurman, J.B., Neupert, W.M., et al., SOHO/EIT Observations of the 1997 April 7 Coronal Transient: Possible Evidence of Coronal Moreton Waves, Astrophys. J., 1999, vol. 517, pp. L151–L154.
Uchida, Y., On the Exciters of Type II and Type III Solar Radio Bursts, Publ. Astron. Soc. Japan, 1960, vol. 12, pp. 376–397.
Uchida, Y., Propagation of Hydromagnetic Disturbances in the Solar Corona and Moreton’s Wave Phenomenon, Solar Phys., 1968, vol. 4, pp. 30–44.
Uchida, Y., Altschuler, M., and Newkirk, G., Flare-Produced Coronal MHD-Fast-Mode Wavefronts and Moreton’s Wave Phenomenon, Solar Phys., 1973, vol. 28, pp. 495–516.
Uchida, Y., Behavior of the Flare-Produces Coronal MHD Wavefront and the Occurrence of Type II Radio Bursts, Solar Phys., 1974, vol. 39, pp. 431–449.
Uralov, A.M., Attenuation of Low-Intensity Soliton MHD Shock Waves in a Fluid Inhomogeneous Medium, Magn. Gidrodinam., 1982, no. 1, pp. 45–50.
Uralova, S.V. and Uralov, A.M., WKB Approach to the Problem of MHD Shock Propagation Through the Heliospheric Current Sheet, Solar Phys., 1994, vol. 152, pp. 457–479.
Veronig, A.M., Muhr, N., Kienreich, I.W., et al., First Observations of a Dome-Shaped Large-Scale Coronal Extreme-Ultraviolet Wave, Astrophys. J., 2010, vol. 716, pp. L57–L62.
Vršnak, B. and Luli, S., Formation of Coronal MHD Shock Waves: I. The Basic Mechanism, Solar Phys., 2000, vol. 196, pp. 157–180.
Wang, Y.-M., EIT Waves and Fast-Mode Propagation in the Solar Corona, Astrophys. J., 2000, vol. 543, pp. L89–L93.
Warmuth, A., Vršnak, B., Aurass, H., and Hanslmeier, A., Evolution of Two EIT/H Moreton Waves, Astrophys. J., 2001, vol. 560, pp. L105–L109.
Warmuth, A., Vršnak, B., Magdaleni, J., et al., A Multi-wavelength Study of Solar Flare Waves: I. Observations and Basic Properties, Astron. Astrophys., 2004, vol. 418, pp. 1101–1115.
Wills-Davey, M.J. and Attrill, G.D.R., EIT Waves: A Changing Understanding Over a Solar Cycle, Space Sci. Rev, 2009, vol. 149, pp. 325–353.
Zhukov, A.N., Rodriguez, L., and de Patoul, J., STEREO/ SECCHI Observations on 8 December 2007: Evidence Against the Wave Hypothesis of the EIT Wave Origin, Solar Phys., 2009, vol. 259, pp. 73–85.
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Original Russian Text © An.N. Afanasyev, A.M. Uralov, V.V. Grechnev, 2011, published in Solnechno-Zemnaya Fizika, 2011, Vol. 17, pp. 3–10.
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Afanasyev, A.N., Uralov, A.M. & Grechnev, V.V. Using the nonlinear geometrical acoustics method in the problem of moreton and EUV wave propagation in the solar corona. Geomagn. Aeron. 51, 1015–1023 (2011). https://doi.org/10.1134/S0016793211080159
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DOI: https://doi.org/10.1134/S0016793211080159