Journal Article10.1080/18811248.2007.9711529
Three-Dimensional Direct Response Matrix Method Using a Monte Carlo Calculation
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TL;DR: In this article, a three-dimensional direct response matrix method using the Monte Carlo calculation has been developed, which is formalized by four sub-response matrices in order to respond to a core eigenvalue k and thus can be recomposed at each outer iteration in core analysis.
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Abstract: A three-dimensional direct response matrix method using the Monte Carlo calculation has been developed. The direct response matrix is formalized by four sub-response matrices in order to respond to a core eigenvalue k and thus can be recomposed at each outer iteration in core analysis. The sub-response matrices can be evaluated by ordinary single fuel assembly calculations with the Monte Carlo method in three dimensions. Since these sub-response matrices are calculated for the actual geometry of the fuel assembly, the effects of intra- and inter-assembly heterogeneities can be reflected on global partial neutron current balance calculations in core analysis. For the purpose of verification of this method, the calculations for heterogeneous systems are performed. As a result, the results obtained using this method agree well with those obtained using direct calculations with the Monte Carlo method. This means that this method accurately reflects the effects of intra- and inter-assembly heterogeneities and ...
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Citations
BWR Core Simulator Using Three-Dimensional Direct Response Matrix and Analysis of Cold Critical Experiments
TL;DR: In this article, a 3D-DRM-based core analysis method was developed in which neutronic calculations using a three-dimensional direct response matrix (3DDRM) method were coupled with thermal-hydraulic calculations.
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Solving eigenvalue response matrix equations with nonlinear techniques
Jeremy A. Roberts,Benoit Forget +1 more
TL;DR: In this article, the authors proposed a method to improve the efficiency of nuclear energy programs by using a nuclear energy university program graduate student, who is a former U.S. Department of Energy graduate student.
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A coupling model for the two-stage core calculation method with subchannel analysis for boiling water reactors
TL;DR: In this article, the authors developed a core analysis model coupled with subchannel analysis within the two-stage calculation scheme using an assembly-based thermal-hydraulics calculation in the core analysis.
7
An energy basis for response matrix methods based on the Karhunen–Loéve Transform
TL;DR: A new energy expansion technique based on the Karhunen–Loeve Transform (KLT) is developed for use in the eigenvalue response matrix method (ERMM), which links nodes using truncated expansions of boundary fluxes in each phase-space variable.
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•Dissertation
Advanced response matrix methods for full core analysis
Jeremy A. Roberts
- 01 Jan 2014
TL;DR: This thesis presents work on an alternative approach using the eigenvalue response matrix method, incorporating the transport and basis development along with several new algorithms for solving the response matrix equations, including variants of Picard iteration, Steffensen's method, and Newton's method.
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Elmer E Lewis,W. F. Miller +1 more
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TL;DR: In this paper, a balanced overview of the major methods currently available for obtaining numerical solutions in neutron and gamma ray transport is presented, focusing on methods particularly suited to the complex problems encountered in the analysis of reactors, fusion devices, radiation shielding, and other nuclear systems.
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Neutronic Analysis Code for Fuel Assembly Using a Vectorized Monte Carlo Method
TL;DR: In this article, a fuel assembly analysis code, VMONT, which combines a multigroup neutron transport calculation with a burnup calculation, has been developed for comprehensive design work use.
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Some basic properties of the response matrix equations
TL;DR: In this article, the authors analyzed the computational feasibility of the response matrix equations (RME) from two points of view: (a) their computational feasibility and (b) their consistency with other methods used in reactor analysis.
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The response matrix method
Sten-Örjan Lindahl,Zbigniew Weiss +1 more
- 01 Jan 1981
TL;DR: In the Response Matrix Method (RMM) as discussed by the authors, the solution of a particle transport problem in a composite (large) domain is constructed from precomputed particular solutions to the local problems associated with each subdomains Vi (i=1,2,...N).
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