Abstract:
The wave pattern of the flow developed when a solar wind shock wave propagates along the surface of the Earth's bow shock is studied. The investigation is carried out in the three-dimensional non-plane-polarized formulation within the framework of the ideal magnetohydrodynamic model in which the medium is assumed to be inviscid and non-heat-conducting and to have the infinite conductivity. The global three-dimensional pattern of the interaction which is a function of the latitude and longitude of elements on the surface of the bow shock is constructed as a mosaic of solutions to the problem of breakdown of a discontinuity developed between the states behind the impinging and bow shocks on the moving curve of intersection of their fronts. The investigation is carried out for typical solar wind parameters and interplanetary magnetic field strength in the Earth's orbit and for several Mach numbers of the interplanetary shock wave, which makes it possible to trace the evolution of the flow developed as a function of the intensity of the shock perturbation of the solar wind. The solution obtained is necessary for interpreting measurements carried out by spacecraft located in the neighborhood of the Lagrange point and the Earth's magnetosphere.
Citation:
E. A. Pushkar, A. S. Korolev, “Collision of a solar wind shock wave with the Earth's bow shock. Wave flow pattern”, Modern problems of mechanics, Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 281, MAIK Nauka/Interperiodica, Moscow, 2013, 199–214; Proc. Steklov Inst. Math., 281 (2013), 189–203
\Bibitem{PusKor13}
\by E.~A.~Pushkar, A.~S.~Korolev
\paper Collision of a~solar wind shock wave with the Earth's bow shock. Wave flow pattern
\inbook Modern problems of mechanics
\bookinfo Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2013
\vol 281
\pages 199--214
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3472}
\crossref{https://doi.org/10.1134/S0371968513020167}
\elib{https://elibrary.ru/item.asp?id=20193389}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2013
\vol 281
\pages 189--203
\crossref{https://doi.org/10.1134/S0081543813040160}
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Linking options:
https://www.mathnet.ru/eng/tm3472
https://doi.org/10.1134/S0371968513020167
https://www.mathnet.ru/eng/tm/v281/p199
This publication is cited in the following 4 articles:
D. V. Donskoi, E. A. Pushkar, “MHD simulation of the distribution of the gasdynamic parameters and magnetic field behind the Earth's bow shock under sharp variations in the solar wind dynamic pressure”, Fluid Dyn., 52:3 (2017), 442–453
E. A. Pushkar, 30th International Symposium on Shock Waves 2, 2017, 875
D. V. Donskoi, E. A. Pushkar, “Impact of the interplanetary magnetic field on thewave flow pattern in the neighborhood of the Earth's bow shock under sharp variations in the solar wind dynamic pressure”, Fluid Dyn., 51:3 (2016), 406–418
A. S. Korolev, E. A. Pushkar, “Stolknovenie mezhplanetnoi udarnoi volny s okolozemnoi golovnoi udarnoi volnoi. Gidrodinamicheskie parametry i magnitnoe pole”, Izvestiya Rossiiskoi akademii nauk. Mekhanika zhidkosti i gaza, 2014, no. 2, 148–168