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This article is cited in 2 scientific papers (total in 2 papers)
Modified splitting method for solving the nonstationary kinetic particle transport equation
N. Ya. Moiseev, V. M. Shmakov All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Snezhinsk, Chelyabinsk oblast, Russia
Abstract:
A modified splitting method for solving the nonstationary kinetic equation of particle (neutron) transport without iteration with respect to the collision integral is proposed. According to the modification, the solutions of the first-stage integrodifferential equations and the collision integrals are found using analytical rather than finite-difference methods. The solution method is naturally extended to multidimensional problems and is well suited for massive parallelism.
Key words:
discrete ordinate method, kinetic neutron transport equation, Godunov method, splitting method, Monte Carlo method.
Received: 12.05.2015 Revised: 10.11.2015
Citation:
N. Ya. Moiseev, V. M. Shmakov, “Modified splitting method for solving the nonstationary kinetic particle transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016), 1480–1490; Comput. Math. Math. Phys., 56:8 (2016), 1464–1473
Linking options:
https://www.mathnet.ru/eng/zvmmf10443 https://www.mathnet.ru/eng/zvmmf/v56/i8/p1480
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Abstract page: | 177 | Full-text PDF : | 50 | References: | 43 | First page: | 10 |
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