基于算子推断的中子输运方程的降阶模型研究  

Reduced Order Modeling for Neutron Transport Equation Based on Operator Inference

作　　者：肖维 刘晓晶[1] 张滕飞 俎建华[1] 柴翔[1] 何辉 Xiao Wei;Liu Xiaojing;Zhang Tengfei;Zu Jianhua;Chai Xiang;He Hui(School of Nuclear Science and Engineering,Shanghai Jiao Tong University,Shanghai,200240,China)

机构地区：[1]上海交通大学核科学与工程学院,上海200240

出　　处：《核动力工程》2025年第2期48-55,共8页Nuclear Power Engineering

基　　金：国家自然科学基金项目(12175138、U20B2011);上海市青年科技启明星计划(23QA1405500);中核集团领创科研项目(CNNC-LC-2020-中核科发〔2022〕)。

摘　　要：为建立瞬态中子输运方程的快速预测模型,本文采用仿射参数化算子推断构建中子输运方程的降阶模型。算子推断通过奇异值分解与构造最优化问题,非侵入式地拟合降阶空间中的动力学方程,同时能够保留原控制方程所描述的物理规律。而仿射参数化结构有效地处理瞬态中子输运方程中常见的时变参数问题,在无需参数空间插值的情况下,实现时变堆芯参数到物理量的快速求解。研究结果表明,基于高保真数据与仿射参数化算子推断构建的降阶模型具有较好的泛化能力,能够对不同时变参数下的瞬态问题进行准确求解。因此,本文构建的降阶模型能够用于高保真中子输运方程的快速预测。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 issue of time-varying parameters commonly encountered in time-dependent neutron transport equations,enabling rapid computation from timevarying core parameters to physical quantities without the need for parameter space interpolation.The numerical results show that the reduced-order model based on high-fidelity data and affineparametric 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.

关 键 词：瞬态中子输运方程 非侵入式降阶模型 高保真计算 参数化降阶模型 

分 类 号：TL329[核科学技术—核技术及应用]