Abstract
Dorodnicyn’s classical work concerning the method of integral relations is given in his original presentation. Developments of the method provided by Dorodnicyn’s students are outlined. Belotserkovskii’s 1956 paper concerning a technique for computing the detached shock wave in flow over a cylinder is presented in full (with comments and numerical results). A technique for the study of flow characteristics for space vehicles of particular shapes is described. The breakthrough character of techniques proposed more than 50 years ago is demonstrated, and their (still important) philosophy is assessed.
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References
A. A. Dorodnitsyn, “A Method for the Numerical Solution of Certain Problems in Aerodynamics,” in Proceedings of the III All-Union Congress of Mathematicians (Moscow, 1956), Vol. 2, pp. 447–453.
O. M. Belotserkovskii and P. I. Chushkin, “Numerical Method of Integral Relations,” Zh. Vychisl. Mat. Mat. Fiz. 2, 731–759 (1962).
O. M. Belotserkovskii, “Flow over a Circular Cylinder with a Detached Shock Wave,” Dokl. Akad. Nauk SSSR 113, 174–179 (1957).
W. Hayes and R. Probstein, Supersonic Flow Theory (Academic, New York, 1959).
S. A. Khristianovich, “On Supersonic Gas Flows,” in Proceedings of Zhukovsky Central Institute of Aerohydrodynamics (Moscow, 1941), No. 543, p. 41 [in Russian].
G. S. Smurov, in Proceedings of the Zhukovsky Air Force Engineering Academy (Moscow, 1947), No. 191 [in Russian].
D. Holder and A. Chinneck, Aeronautical Quarterly (1954).
H. Maccol and J. Codd, Aeronaut. Res. Commun., 9315 (1945).
O. M. Belotserkovskii, A. Bulekbaev, M. M. Golomazov, et al., “Supersonic Gas Flows over Blunt Bodies: Theoretical and Experimental Studies,” in Proceedings of the Computing Center of the Russian Academy of Sciences (Moscow, 1967) [in Russian].
V. M. Borisov, M. M. Golomazov, A. A. Ivankov, and V. S. Finchenko, “Computation of Radiative Heat Transfer in Flow Problems with Allowance for Mass Loss in the Thermal Protection System,” Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza, No. 4, 143–151 (2004).
O. M. Belotserkovskii, M. M. Golomazov, and A. V. Shabalin, “Study of the Effect of Intense Surface Gas Injection on Hypersonic Blunt Body Flows,” Zh. Vychisl. Mat. Mat. Fiz. 21, 1018–1030 (1981).
NASA Report IF-667, May 1972.
A. V. Bitsadze, Boundary Value Problems for Second-Order Elliptic Equations (Nauka, Moscow, 1966) [in Russian].
I. A. Kibel, N. E. Kochin, and N. V. Roze, Theoretical Hydromechanics (Fizmatgiz, Moscow, 1963; Interscience, New York, 1964/1965), Vol. 2.
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Dedicated to Academician A.A. Dorodnicyn on the Occasion of the Centenary of His Birth
Original Russian Text © O.M. Belotserkovskii, G.A. Tsvetkov, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 1, pp. 120–130.
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Belotserkovskii, O.M., Tsvetkov, G.A. The method of integral relations for computing blunt body flows with a detached shock wave. Comput. Math. and Math. Phys. 51, 111–121 (2011). https://doi.org/10.1134/S0965542511010040
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DOI: https://doi.org/10.1134/S0965542511010040