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• W2186612611 abstract "INTRODUCTION Chord length sampling (CLS) method has been studied for a long time since first proposed [1]. Much work has been done on the CLS efficiency and accuracy study to solve radiation transport problems in 1D/2D/3D geometry, where fixed-size inclusions are randomly distributed [2]-[5] or two random-size inclusions are alternately distributed [6]. Current major application of CLS in nuclear reactor systems is to analyze the stochastic distribution of fuel particles in the Very High Temperature Gas-cooled Reactors (VHTRs), either prismatic type or pebble bed type [7]-[9]. In practice, the accuracy of CLS is problem-dependent, which poses dilemma for one to use CLS. To provide pragmatic guidance in the application of CLS, a systematic investigation of the impacts of problem-dependent parameters, such as material packing fraction, cross section, and system size on the accuracy of CLS is needed. Such an investigation can help relieve the dilemma and give a range of scenarios in which CLS is accurate and can be applied to. A literature review has shown that investigations have been done for fixed-source problems. Donovan and Danon [3] applied CLS (The LCLS algorithm in the paper) to solving for reflection/leakage rates in a 2D rectangular region composed of disk inclusions. It was found that CLS method gives poorer solutions as the scattering cross section increases in the background region. Reinert et al. [10] has studied the accuracy of CLS by solving a point source problem in a spherical region containing randomly dispersed spherical fuel kernels. By calculating the leakage rate, the relative errors were obtained as a function of three parameters: the ratio of the mean chord length to the mean free path b in background material; the ratio of the mean chord length to the mean free path fk in fuel kernels; and the ratio of to . It concluded that CLS deteriorates most significantly with highly scattering background material, and very dark densely packed fuel kernels. Recently, Brantley [6] systematically investigated the accuracy of two CLS algorithms in 1D fixed-source problems by comparing not only the reflection/leakage rates but the spatial flux distributions. Similar conclusions as Reinert et al. have been drawn though the random media system Brantley studied was constructed in a different way. In the applications of CLS to analyze nuclear reactor systems, such as VHTRs, eigenvalue problems are more important in the reactor analysis including steady-state and fuel depletion calculations. In this summary, parameter sensitivity study is performed for eigenvalue problems in a cube of scattering background medium, where monosized or polysized fuel kernels are randomly distributed. Multiplication factor error analysis between reference and CLS simulations is done at the variation of a few selected parameters for a range of packing fractions. RADIATION TRANSPORT PROBLEM AND METHODOLOGY DESCRIPTION Figure 1 shows two systems that are studied. The radius of each fuel kernel is 0.0185cm in the monosized sphere system, and uniformly distributed over [0.010, 0.025] (cm) in the polysized sphere system." @default.
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• W2186612611 date "2011-01-01" @default.
• W2186612611 modified "2023-09-25" @default.
• W2186612611 title "Parameter Sensitivity Study on the Accuracy of Chord Length Sampling Method" @default.
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