Results 1 to 10 of about 4,488 (165)
Numerical Approximation for Fractional Neutron Transport Equation [PDF]
Journal of Mathematics, 2021 Fractional neutron transport equation reflects the anomalous transport processes in nuclear reactor. In this paper, we will construct the fully discrete methods for this type of fractional equation with Riesz derivative, where the generalized WENO5 ...
Zhengang Zhao, Yunying Zheng
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Existence and Uniqueness Theorems for the Neutron Transport Equation [PDF]
Journal of Mathematical Physics, 1963 In an attempt to understand the conditions under which the neutron transport equation has solutions, and the properties of those solutions, a number of existence and uniqueness theorems are proved. One finds that the properties of the solution are closely related to the boundedness of the source as well as to certain velocity-space integrals of the ...
P F Zweifel, Case K M, Zweifel P F
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COMPARISON OF CHEBYSHEV AND ANDERSON ACCELERATIONS FOR THE NEUTRON TRANSPORT EQUATION [PDF]
EPJ Web of Conferences, 2021 This work focuses on the k-eigenvalue problem of the neutron transport equation. The variables of interest are the largest eigenvalue (keff) and the corresponding eigenmode is called the fundamental mode.
Calloo Ansar +2 more
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A splitting iterative method for solving the neutron transport equation
Mathematical Modelling and Analysis, 2009 This paper presents an iterative method based on a self‐adjoint and m‐accretive splitting for the numerical treatment of the steady state neutron transport equation.
Onana Awono, Jacques Tagoudjeu
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Monte Carlo Methods for the Neutron Transport Equation [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2022 This paper continues our treatment of the Neutron Transport Equation (NTE) building on the work in [arXiv:1809.00827v2], [arXiv:1810.01779v4] and [arXiv:1901.00220v3], which describes the flux of neutrons through inhomogeneous fissile medium. Our aim is to analyse existing and novel Monte Carlo (MC) algorithms, aimed at simulating the lead eigenvalue ...
Alexander M. G. Cox +3 more
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ANALYSIS OF TIME-EIGENVALUE AND EIGENFUNCTIONS IN THE CROCUS BENCHMARK [PDF]
EPJ Web of Conferences, 2021 Time-dependent neutron transport in non-critical state can be expressed by the natural mode equation. In order to estimate the dominant eigenvalue and eigenfunction of the natural mode, CEA had extended the α-k method and developed the generalized ...
Nauchi Yasushi +2 more
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Influence of the spatial grid type on the result of calculating the neutron fields in the nuclear power plant shielding [PDF]
Nuclear Energy and Technology, 2023 The paper considers the influence of the spatial grid type on the result of solving the equation of neutron transport in the nuclear power plant (NPP) shielding.
Olga V. Nikolaeva +4 more
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Implementation of the time dependent neutron transport algorithm in 2D utilizing modular ray tracing by method of characteristic framework [PDF]
مجله علوم و فنون هستهای, 2023 This paper discusses the implementation of an algorithm for solving 2D time-dependent neutron transport equations in heterogeneous media. A novel modular ray tracing algorithm where neutrons are allowed to travel a longer path before being removed from ...
S. Ghaseminejad +3 more
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Variational nodal methods for neutron transport: 40 years in review
Nuclear Engineering and Technology, 2022 The variational nodal method for solving the neutron transport equation has evolved over 40 years. Based on a functional form of the Boltzmann neutron transport equation, the method now comprises a complete set of variants that can be employed for ...
Tengfei Zhang, Zhipeng Li
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Transport theory and systems theory [PDF]
Nuclear Technology and Radiation Protection, 2005 The simulation of singular nonlinear transport equation is obtained via corresponding neutron or photon kinetic equation. The conditions for convergence of the non stationary transport process to ward the pure dif fusion across the equilibriums are ...
Rastović Danilo
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