Journal ArticleDOI
Computation accuracy and efficiency of a power series analytic method for two- and three- space-dependent transient problems
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TLDR
In this article, a PWS code was developed to include a numerical solution for the time-dependent neutron diffusion equations for the nuclear reactor analysis, which employs a new parameter (α) which can reduce the rapid increase in magnitude of the power series coefficients.About:
This article is published in Progress in Nuclear Energy.The article was published on 2009-04-01. It has received 22 citations till now. The article focuses on the topics: Boiling water reactor & Numerical analysis.read more
Citations
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Nuclear reactor analysis
C.C. Scott,S. Moorthy +1 more
TL;DR: In this article, the authors have considered the interests of both scientists and practising engineers, in addition to serving the needs of the academia, in order to avoid lengthy and repetitive discussions, that are available in many standard text books on reactor physics.
Numerical Techniques for the Neutron Diusion Equations in the Nuclear Reactors
TL;DR: Nahla et al. as mentioned in this paper presented numerical techniques for processing the exponential function of the coefficient matrix using analytical method and fundamental matrix method, which were applied to three-dimensional space-time neutron diffusion equations with average one group of delayed neutrons in the different nuclear reactors.
Journal ArticleDOI
Generalized power series method with step size control for neutron kinetics equations
TL;DR: In this paper, a generalized power series method (GPWS) has been introduced for solving the point reactor kinetics equations, where the stiffness of the kinetics equation restricts the time interval to a small increment, which in turn restricts the PWS method within a very small constant step size.
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A novel mathematical model for two-energy groups of the point kinetics reactor dynamics
TL;DR: In this article, a novel analytical formulation is constructed and converged to high accuracy from the merger of the piecewise constant functions over a partition in time into the fundamental matrix for the two-energy group of the point kinetics equations.
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High-order lattice Boltzmann method for multi-group neutron diffusion solution
Yahui Wang,Yu Ma,Ming Xie +2 more
TL;DR: A high-order lattice Boltzmann method is presented to solve multi-group neutron diffusion problems in both transient and eigenvalue situations, and the numerical accuracy of the proposed model can be continuously increased by adopting higher-order truncation while preserving the current level of calculation efficiency.
References
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Book
Matrix iterative analysis
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.
Book
Advanced Engineering Mathematics
TL;DR: This book discusses ODEs, Partial Differential Equations, Fourier Series, Integrals, and Transforms, and Numerics for ODE's and PDE's, as well as numerical analysis and potential theory, and more.