General nodal expansion method for multi-dimensional neutronics/thermal-hydraulic coupled problems in pebble-bed core systems

Zhou, Xiafeng; Fu, Li

doi:10.1016/j.anucene.2018.02.009

Cited by 8 publications

(2 citation statements)

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“…[12], these methods are simple and of easy implementation, however, they require refined meshes to obtain the desired precision. For this reason, the efficiency of these codes may be limited for application in large-scale coupled problems [19]. In order to avoid the great computational effort of those methods, other methodologies have been proposed, such as nodal methods.…”

Section: Introductionmentioning

confidence: 99%

“…[5,8] the first simulator based on this method is the code FLARE developed in 1964. Still, according to the literature [19] this approach is more efficient and accurate in thick meshes if compared to FVM and FDM, so that the discrete mesh number, computer storage, and computational cost can be greatly reduced for a desired precision. Because of the advantages of transverse-integrated nodal methods, some of them have been applied to the more diverse models in reactor physics such as multi-region diffusion problems in two and three dimensions.…”

Section: Introductionmentioning

confidence: 99%

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A Nodal-iterative Technique for Criticality Calculations in Multigroup Neutron Diffusion Models

Zanette

Barichello

Petersen

2022

TCAM

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In this work, a nodal and iterative technique to evaluate the effective multiplication factor as well as the neutron flux, in multigroup diffusion problems, is presented. An iterative scheme, similar to the source iteration method, is implemented to decouple the system of differential equations which is the fundamental mathematical model. Then, analytical solutions are derived for the one-dimensional transverse integrated equations, of each energy group, resulting from a nodal approach. Constant approximations are assumed for the unknown transverse leakage terms in the contours of the nodes. In addition, constant and linear representations are investigated to express the fluxes in the source term to be updated in the iterative process. Numerical results for the effective multiplication factor were obtained for a series of two-dimensional multigroup problems with up-scattering and down-scattering. The procedure is simple, fast, the analysis of the results indicated a satisfactory agreement with results available in the literature and the use of different approximations to the source term seems to be a good alternative, instead of using higher-order approximations on the contour of the nodes, to improve accuracy.

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Section: Introductionmentioning

confidence: 99%