caa a22 4500 445347295 CHVBK 20180317142832.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s11207-011-9730-9 doi (NATIONALLICENCE)springer-10.1007/s11207-011-9730-9 Coronal Shock Waves, EUV Waves, and Their Relation to CMEs. II. Modeling MHD Shock Wave Propagation Along the Solar Surface, Using Nonlinear Geometrical Acoustics [Elektronische Daten] [A. Afanasyev, A. Uralov] We model the propagation of a coronal shock wave, using nonlinear geometrical acoustics. The method is based on the Wentzel-Kramers-Brillouin (WKB) approach and takes into account the main properties of nonlinear waves: i)dependence of the wave front velocity on the wave amplitude, ii)nonlinear dissipation of the wave energy, and iii)progressive increase in the duration of solitary shock waves. We address the method in detail and present results of the modeling of the propagation of shock-associated extreme-ultraviolet (EUV) waves as well as Moreton waves along the solar surface in the simplest solar corona model. The calculations reveal deceleration and lengthening of the waves. In contrast, waves considered in the linear approximation keep their length unchanged and slightly accelerate. Springer Science+Business Media B.V., 2011 Magnetohydrodynamics nationallicence Waves, propagation nationallicence Waves, shock nationallicence Afanasyev A. Institute of Solar-Terrestrial Physics SB RAS, Lermontov St. 126A, P.O. Box 291, 664033, Irkutsk, Russia aut Uralov A. Institute of Solar-Terrestrial Physics SB RAS, Lermontov St. 126A, P.O. Box 291, 664033, Irkutsk, Russia aut Solar Physics Springer Netherlands 273/2(2011-11-01), 479-491 0038-0938 273:2<479 2011 273 11207 https://doi.org/10.1007/s11207-011-9730-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11207-011-9730-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Afanasyev A. Institute of Solar-Terrestrial Physics SB RAS, Lermontov St. 126A, P.O. Box 291, 664033, Irkutsk, Russia aut NATIONALLICENCE 700 1- Uralov A. Institute of Solar-Terrestrial Physics SB RAS, Lermontov St. 126A, P.O. Box 291, 664033, Irkutsk, Russia aut NATIONALLICENCE 773 0- Solar Physics Springer Netherlands 273/2(2011-11-01), 479-491 0038-0938 273:2<479 2011 273 11207 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer