Optimized Method for Solving Boltzmann Transport Equations in Subgroup Method of Resonance Treatment

Song Li (), Lei Liu (), Yongfa Zhang, Qian Zhang and Qi Cai
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Song Li: College of Nuclear Science and Technology, Naval University of Engineering, Wuhan 430033, China
Lei Liu: College of Electrical Engineering, Naval University of Engineering, Wuhan 430033, China
Yongfa Zhang: College of Nuclear Science and Technology, Naval University of Engineering, Wuhan 430033, China
Qian Zhang: Laboratory for Advanced Nuclear Energy Theory and Applications, Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
Qi Cai: College of Nuclear Science and Technology, Naval University of Engineering, Wuhan 430033, China

Mathematics, 2025, vol. 13, issue 9, 1-24

Abstract: This study presents an optimized subgroup transport equation solving method to enhance the computational efficiency of resonance calculations in high-fidelity reactor core simulations. By consolidating all the resonance groups into an equivalent single group and performing fixed-source calculations only for the representative subgroup cross-sections, this method significantly reduced the computational burden compared to the conventional subgroup method. Validation studies on single-cell, 2D assembly, and 3D assembly problems demonstrated that the proposed method achieves computational accuracy comparable to the conventional approach while requiring fewer fixed-source equations. This advancement offers a promising solution for improving the efficiency of resonance calculations in high-fidelity reactor core simulations, paving the way for more accurate and computationally efficient modeling of complex reactor systems.

Keywords: Boltzmann transport equation; reactor physics numerical computation; subgroup method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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