Abstract
A new method is considered for constructing the front and the dynamics of motion of a shock wave propagating in an isentropic gas with small viscosity with a speed close to the speed of sound. The proposed algorithm of solution makes it possible to considerably raise the accuracy and effectiveness of numerical computations on the computer as compared with known universal numerical methods based on the use of difference schemes.
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Literature cited
V. I. Arnol'd, Ordinary Differential Equations [in Russian], Nauka, Moscow (1971).
V. P. Maslov, Operator Methods [in Russian], Nauka, Moscow (1973).
V. P. Maslov, “On the propagation of shock waves in an isentropic, nonviscous gas,” in: Sovrem. Probl. Mat., Vol. 8 (Itogi Nauki i Tekhn.), Moscow (1976).
L. I. Sedov, Mechanics of Continuous Media [in Russian], Vols. I, II, Nauka, Moscow (1973).
Additional information
Translated from Itogi Nauki i Tekhniki, Sovremennye Problemy Matematiki, Vol. 8, pp. 273–308, 1977.
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Maslov, V.P., Tsupin, V.A. Propagation of a shock wave in an isentropic gas with small viscosity. J Math Sci 13, 163–185 (1980). https://doi.org/10.1007/BF01084112
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DOI: https://doi.org/10.1007/BF01084112