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A realization of the moment method

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Abstract

The difficulties involved in solving a system of moment equations using two-sided distributions are analyzed. The properties of these distributions do not permit the realization of the moment method (in the case of a collision integral in Boltzmann form) in specific transport boundary-value problems. A method of obtaining analytic solutions of the system of moment equations for linearized transport problems is proposed. The accuracy of the method is analyzed with reference to a classical transport problem.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 185–188, May–June, 1991.

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Ivchenko, I.N., Nikishkin, V.A. & Shevelev, A.Y. A realization of the moment method. Fluid Dyn 26, 473–476 (1991). https://doi.org/10.1007/BF01059024

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  • DOI: https://doi.org/10.1007/BF01059024

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