Abstract
The method of averaging is generalized to the case of the nonstationary equation of radiation transfer taking into account scattering. Results are presented for calculations of radiative cooling of a spherical plasma volume.
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Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, 2 Vols., Academic Press.
G. S. Romanov, B. N. Bazylev, and K. L. Stepanov, “Radiative cooling of a spherical cloud of completely ionized gas expanding into a vacuum,” Dokl. Akad. Nauk BSSR,22, No. 2, 138–141, (1978).
A. A. Charakhch'yan, “Numerical scheme for evolutionary problems with nonstationary radiation transfer,” Zh. Vychisl. Mat. Mat. Fiz.,18, No. 2, 499–504 (1978).
V. Ya. Gol'din, “Quasidiffusion method for solving the kinetic equation,” Zh. Vychisl. Mat. Mat. Fiz.,4, No. 6, 1078–1087 (1964).
V. Ya. Gol'din, G. V. Danilova, and B. N. Chetverushkin, “Approximate method for solving the nonstationary kinetic equation,” in: Numerical Methods in Transport Theory [in Russian], Atomizdat, Moscow (1969), pp. 50–58.
D. S. Filippychev and B. N. Chetverushkin, “Method for averaging diffusion type equations with respect to photon energy,” Zh. Vychisl. Mat. Mat. Fiz.,16, No. 6, 1601–1605 (1976).
I. V. Nemchinov, “Averaged radiation transfer equations and their use in solving gasdynamic problems,” Prikl. Mat. Mekh.,34, No. 4, 706–721 (1970).
Yu. D. Shmyglevskii, “Variant of the moment method for calculating the transport of selective radiation,” Zh. Vychisl. Mat. Mat. Fiz.,17, No. 3, 785–790 (1977).
V. G. Sevast'yanenko, “Transfer of radiation in a real spectrum. Integration over frequency,” Inzh.-Fiz. Zh.,36, No. 2, 218–230 (1979).
I. V. Nemchinov, V. V. Svetsov, and V. V. Shuvalov, “Solution of the problem of the propagation of strong, intensely radiating shock waves in air by averaging the equation of radiation transfer.” Low-Temperature Plasma in Space and Ion Earth, Collection of Articles [in Russian], VAGO, Moscow (1977), pp. 47–89.
V. I. Bergel'son, T. V. Loseva, and I. V. Nemchinov, “Numerical calculation of the problem of propagation of a plane subsonic radiation wave in a gas by averaging the equation of radiation transfer,” in: Numerical Methods in the Physics of Plasma [in Russian], Nauka, Moscow (1977), pp. 234–236.
I. V. Nemchinov and V. V. Svetsov, “Calculation of the development of a laser explosion in air taking into account radiation,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 26–32 (1977).
S. Chandrasekar, Radiant Energy Transfer [Russian translation], IL, Moscow (1953).
P. N. Stevens, “Use of the discrete ordinates method in radiative shielding calculations,” Nucl. Eng. Design,13, 395–408 (1970).
B. C. Hankin, J. G. Hill, and A. G. P. Warham, “Numerical solution of the unsteady radiative transfer equation,” J. Quant. Spectrosc. Radiat. Transfer,11, 949–962 (1971).
R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, Wiley (1967).
A. A. Samarskii and Yu. P. Popov, Difference Methods in Gas Dynamics [in Russian], Nauka, Moscow (1975).
G. S. Romanov, K. L. Stepanov, and S. I. Kas'kova, et al., “Spectral absorption coefficients of a high-temperature aluminum plasma,” Otchet po NIR: Plasma [in Russian], NII PFP, Minsk, Gos. reg. No. B771439.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 41, No. 2, pp. 318–327, August, 1981.
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Bazylev, B.N., Romanov, G.S. Numerical solution of the spectral radiation-gasdynamic problem of radiative cooling of a spherical plasma volume taking into account nonstationary radiation transfer. Journal of Engineering Physics 41, 906–913 (1981). https://doi.org/10.1007/BF00836560
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DOI: https://doi.org/10.1007/BF00836560