Reduced Order Modeling for Neutron Transport Equation Based on Operator Inference

Xiao Wei; Liu Xiaojing; Zhang Tengfei; Zu Jianhua; Chai Xiang; He Hui

doi:10.13832/j.jnpe.2024.080042

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Xiao Wei, Liu Xiaojing, Zhang Tengfei, Zu Jianhua, Chai Xiang, He Hui. Reduced Order Modeling for Neutron Transport Equation Based on Operator Inference[J]. Nuclear Power Engineering. doi: 10.13832/j.jnpe.2024.080042

Citation:

Xiao Wei, Liu Xiaojing, Zhang Tengfei, Zu Jianhua, Chai Xiang, He Hui. Reduced Order Modeling for Neutron Transport Equation Based on Operator Inference[J]. Nuclear Power Engineering. doi: 10.13832/j.jnpe.2024.080042

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Reduced Order Modeling for Neutron Transport Equation Based on Operator Inference

doi: 10.13832/j.jnpe.2024.080042

School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

Received Date: 2024-08-15
Rev Recd Date: 2024-10-14

Available Online: 2025-01-15

Abstract

Abstract

To establish a real-time prediction model for the time-dependent neutron transport equation, the affine-parametric operator inference is employed to train a reduced-order model of the neutron transport equation. Operator inference, through singular value decomposition and solving optimization problem, non-intrusively fits the operators of the reduced dynamic equations in the subspace while preserving the physical structure described by the original governing equations. The affine-parametric structure effectively addresses the time-varying parameters in time-dependent neutron transport equations, achieving rapid solutions with time-varying parameters without implementing interpolation in the parameter space. The numerical results show that the reduced-order model based on high-fidelity data and affine-parametric operator inference has good generalization ability, accurately solving transient problems under different time-varying parameters. Therefore, the reduced-order model proposed in this study can be used for real-time prediction of high-fidelity neutron transport equations.

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References(21)

References

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