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

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.

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Publication Details

Journal
Mathematics
Published
2025-04-24
DOI
https://doi.org/10.3390/math13091384
Citations
1
Primary Topic
Nuclear reactor physics and engineering
Type
article
Field-Weighted Citation Impact
4.99

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article

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

Cai Qi, Liu L, Li Song, Qian Zhang et al.
1 citations
Mathematics
Nuclear reactor physics and engineering
4.99
article

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

Cai Qi, Liu L, Li Song, Qian Zhang, Yongfa Zhang
article en
1 citations

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.

MathematicsVol. 13(9)
Naval University of Engineering (CN), Institute of Modern Physics (CN), Zhejiang University (CN)
National Natural Science Foundation of China, China Postdoctoral Science Foundation, Natural Science Foundation of Hubei Province
Openalex Percentile: Top 6%
Nuclear reactor physics and engineering
4.99
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Optimized Method for Solving Boltzmann Transport Equations in Subgroup Method of Resonance Treatment — Cai Qi, Liu L, et al. · Mathematics (2025) | TGRS Research Map | TGRS