Abstract:
The method of spectral moments that simplifies the calculation of nonmonotonic multiresonance spectra of neutrons or photons in the problems of nuclear technologies, radiating plasma and atmospheric radiation is developed. The particle distribution function is expanded in basis functions that depend on the particle energy and the resonance structure of the cross sections, and ensure fast convergence of the expansion. Efficient way of finding the series expansion coefficients (spectral moments) based on the solution of the transport equation for the Lebesgue distribution of particles on the system of Lebesgue sets is described. Fast convergence of the expansion is shown in test problems.
Citation:
A. V. Shilkov, “The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems”, Mat. Model., 28:11 (2016), 33–54; Math. Models Comput. Simul., 9:3 (2017), 263–280
\Bibitem{Shi16}
\by A.~V.~Shilkov
\paper The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems
\jour Mat. Model.
\yr 2016
\vol 28
\issue 11
\pages 33--54
\mathnet{http://mi.mathnet.ru/mm3785}
\elib{https://elibrary.ru/item.asp?id=28119124}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 3
\pages 263--280
\crossref{https://doi.org/10.1134/S2070048217030115}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85020192673}
Linking options:
https://www.mathnet.ru/eng/mm3785
https://www.mathnet.ru/eng/mm/v28/i11/p33
This publication is cited in the following 4 articles:
A. V. Shilkov, N. A. Sivakov, “Simulation of radiative heat transfer in supersonic plasma flows taking into account the doppler shift of lines”, Math. Models Comput. Simul., 13:6 (2021), 1064–1076
A. V. Shilkov, “Lebesgue moment method for solving the neutron transport equation”, Math. Models Comput. Simul., 13:1 (2021), 37–59
A. V. Shilkov, “Averaging of the neutron transport equation over energy by the Lebesgue moment method”, Preprinty IPM im. M. V. Keldysha, 2019, 134, 43 pp.
A. V. Shilkov, N. A. Sivakov, “Modelirovanie perenosa tepla izlucheniem v dvizhuscheisya plazme s uchetom doplerovskogo sdviga linii”, Preprinty IPM im. M. V. Keldysha, 2018, 250, 30 pp.
Citation in format AMSBIB
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