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Linear stochastic neutron transport theory
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1978A new and direct derivation of the Bell-Pál fundamental equation for (low power) neutron stochastic behaviour in the Boltzmann continuum model is given. The development includes correlation of particle emission direction in induced and spontaneous fission.
J. Lewins
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Stochastic Neutron Transport Theory: Neutron Counting Statistics in Nuclear Assemblies
Nuclear Science and Engineering, 1987The methodology of Pal and Bell has been used to derive a master equation for the probability generating function, which governs the detector counting statistics in zero power reactors. The resulting formalism has led to rigorous derivations of the Feynman Y function and the covariance function, which include spatial and spectral corrections and which ...
Jose-Luis Muñoz-Cobo +2 more
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Polynomial Approximations in Neutron Transport Theory
Nuclear Science and Engineering, 1959The Milne problem, with absorption, of neutron transport theory is solved by expanding the angular distribution in Tchebycheff polynomials, rather than the more conventional Legendre polynomials.
W. Conkie
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Spectral Theory for Neutron Transport
2014These notes resume a lecture given in the Cimpa School “Evolutionary equations with applications in natural sciences” held in South Africa (Muizenberg, July 22–August 2, 2013). However, the oral style of the lecture has been changed and the bibliography augmented.
M. Mokhtar-Kharroubi
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Nuclear science and engineering, 2021
This paper presents a new robust scheme for coupled physics nuclear reactor calculations. We focus specifically on high-fidelity whole-core transport calculations with coarse mesh finite difference (CMFD) coupled to thermal hydraulics.
Qicang Shen, B. Kochunas
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This paper presents a new robust scheme for coupled physics nuclear reactor calculations. We focus specifically on high-fidelity whole-core transport calculations with coarse mesh finite difference (CMFD) coupled to thermal hydraulics.
Qicang Shen, B. Kochunas
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On the Ronen Method in Simple 1-D Geometries for Neutron Transport Theory Solutions
, 2020In this work, we apply the Ronen method to obtain highly-accurate approximations to the solution of the neutron transport equation in simple homogeneous problems. Slab, cylindrical, and spherical geometries are studied.
D. Tomatis, R. Gross, E. Gilad
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, 2020
A recent hybrid stochastic-deterministic calculation scheme using Monte Carlo–tallied group cross sections in a deterministic solver uses the best of both worlds for accurate and fast reactor agnos...
Guillaume Giudicelli +2 more
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A recent hybrid stochastic-deterministic calculation scheme using Monte Carlo–tallied group cross sections in a deterministic solver uses the best of both worlds for accurate and fast reactor agnos...
Guillaume Giudicelli +2 more
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Nuclear Science and Engineering, 1975
(1975). Neutron Transport Theory. Nuclear Science and Engineering: Vol. 58, No. 3, pp. 340-340.
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(1975). Neutron Transport Theory. Nuclear Science and Engineering: Vol. 58, No. 3, pp. 340-340.
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