Curved Surface Nodal Method (CSN) is a deterministic neutron transport method based on the actual irregular, large-scale curved surface geometry of nuclear reactors, which can achieve accurate and efficient solutions to the neutron transport equation. In CSN, there is a set of geometry paraments, which is only related to the geometry information of nodes and not related to solved neutron flux. Geometry parameters are constructed from the surface integral over node boundaries or node integrals. Irregular curved shapes of nodes are common in CSN, which makes the calculation of node integrals with node as the integration region difficult. This paper highlights the impact of geometry parameter accuracy on CSN calculations and provides an accuracy limit for numerically calculated geometry parameters. And a geometry parameter solver based on the quasi-Monte Carlo method has been developed. The results show that when the accuracy of geometry parameters reaches \({10}^{-6}\) , it has a negligible effect on CSN calculation.

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Calculation and Verification of Geometry Parameters Integration in CSN Method Based on Quasi-Monte Carlo Method

  • Jining Li,
  • Chen Hao,
  • Xiaoyu Zhou,
  • Yizhen Wang,
  • Yunlin Xu

摘要

Curved Surface Nodal Method (CSN) is a deterministic neutron transport method based on the actual irregular, large-scale curved surface geometry of nuclear reactors, which can achieve accurate and efficient solutions to the neutron transport equation. In CSN, there is a set of geometry paraments, which is only related to the geometry information of nodes and not related to solved neutron flux. Geometry parameters are constructed from the surface integral over node boundaries or node integrals. Irregular curved shapes of nodes are common in CSN, which makes the calculation of node integrals with node as the integration region difficult. This paper highlights the impact of geometry parameter accuracy on CSN calculations and provides an accuracy limit for numerically calculated geometry parameters. And a geometry parameter solver based on the quasi-Monte Carlo method has been developed. The results show that when the accuracy of geometry parameters reaches \({10}^{-6}\) , it has a negligible effect on CSN calculation.