Abstract
At present, numerical simulation is the main, and often the only, tool for detailed description of some physical phenomena in the study of the processes of material compression by shock waves. The study of the behavior of shock and rarefaction waves on the simplest model tests helps in the analysis of more complex calculations, for example, problems of inertial thermonuclear fusion on laser facilities. The paper considers comparative calculations of a test problem that simulates compression of a spherical layered system consisting of two substances by shock waves.
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REFERENCES
Samarskii, A.A., Galaktionov, V.A., Kurdyumov, V.P., and Mikhailov, V.P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uranenii (Blow-up Regimes in Problems for Quasilinear Parabolic Equations), Moscow: Nauka, 1987.
Shestakov, A.A., On one test problem of compression of a layered system with allowance for radiation transfer in various approximations, VANT. Ser. Mathematical modelling of physical processes, 2017, issue 4, pp. 25–31.
Shestakov, A.A., Test problems for compression of spherical layered systems by shock waves, Matem. Modelir., 2020, vol. 32, no. 12, pp. 29–42.
Guderley, K.G., Strake kugelige und zylindrische Verdichtutungsstosse in der Nane des Kugelmittelpunktes bzw. der Zylinderachse, Luftfahrtforschung, 1942, vol. 19, no. 9, pp. 302–312.
Landau, L.D. and Stanyukovich, K.P., On the study of detonation of condensed explosives, DAN SSSR, 1945, vol. 46, no. 9, pp. 399–402.
Stanyukovich, K.P., Neustanovivshiesya dvizheniya sploshnoi stredy (Nonstationary Motions of Continuous Media), Moscow: Gostekhizdat, 1955.
Ze’dovich, Ya.B. and Raiser, Yu.P., Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii (Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena), Moscow: Nauka, 1966.
Zababakhin, E.I. and Simonenko, V.A., Converging shock wave in a heat-conducting gas, Prikl. Mat. Mekh., 1965, vol. 29, no. 2, pp. 334–336.
Makhmudov, A.A. and Popov, A.P., Influence of thermal conductivity on a strong shock wave converging toward a symmetry center, Fluid Dyn., 1980, vol. 15, no. 2, pp. 316–319.
Zababakhin, E.I. and Zababakhin, I.E., Yavleniya neogranichennoi kumulyazatsii (Unbounded Cumulation Phenomena), Moscow, Nauka, 1988.
Carlson, B., Numerical solution of the problem of the kinetic theory of neutrons, in: Teoriya yadernykh reaktorov (Theory of Nuclear Reactors), Moscow: Atomizdat, 1963, pp. 243–258.
Gadzhiev, A.D., Zaviyalov, V.V., and Shestakov, A.A., Application of the TVD approach to the DSn method for solving the thermal radiation transfer equation, VANT. Ser. Mathematical modelling of physical processes, 2009, no. 2, pp. 37–48.
Shestakov, A.A., TVDR schemes for solving the system of equations for the transfer of thermal radiation, VANT. Ser. Mathematical modelling of physical processes, 2019, no. 2, pp. 17–36.
Gadzhiev, A.D., Kondakov, I.A., Pisarev, V.N., Starodumov, O.I., and Shestakov, A.A., Discrete ordinate method with artificial dissipation (DDAD scheme) for the numerical solution of the neutron transport equation, VANT. Ser. Mathematical modelling of physical processes, 2003, no. 4, pp. 13–24.
Gadzhiev, A.D., Seleznev, V.N., and Shestakov, A.A., DSn method with artificial dissipation and VDM method of acceleration of iterations for the numerical solution of the two-dimensional equation of thermal radiation transfer in the neutron kinetic model, VANT. Ser. Mathematical modelling of physical processes, 2003, no. 4, pp. 33–46.
Surzhikov, S.T., Teplovoe izluchenie gazov i plazmy (Thermal Radiation of Gas and Plasma), Moscow: Izd-vo MGTU im. Baumana, 2004.
Bisyarin, A.Yu., Gribov, V.M., Zubov, A.D., Neuvazhaev, B.E., Pervinenko, H.V., and Frolov, V.D., TIGR complex for calculating two-dimensional problems of mathematical physics, VANT. Ser. Mathematical modelling of physical processes, 1984, no. 3, pp. 34–41.
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Grabovenskaya, S.A., Zav’yalov, V.V. & Shestakov, A.A. Calculations of Compression of a Spherical Layered System by Shock Waves Taking into Account the Transfer of Thermal Radiation in the Kinetic Model. Fluid Dyn 58, 511–519 (2023). https://doi.org/10.1134/S0015462823600475
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DOI: https://doi.org/10.1134/S0015462823600475