In this paper, a non-intrusive reduced-order model (ROM) for parametric reactor kinetics simulations is presented. Time-dependent ROMs are notoriously data intensive and difficult to implement when nonlinear multiphysics phenomena are considered. These challenges are exacerbated when parametric dependencies are included. The proper orthogonal decomposition mode coefficient interpolation (POD-MCI) ROM presented in this work can be constructed directly from lower-dimensional quantities of interest (QoIs) and is independent of the underlying model. This greatly alleviates the data requirement of many existing ROMs and can be used without modification on arbitrarily complex models or experimental data. The POD-MCI ROM is demonstrated on a number of examples and yields accurate characterizations of the QoIs within the selected parameter spaces at extremely attractive computational speed-up factors relative to the full-order models (FOMs).
翻译:本文提出了一种用于参数化反应堆动力学模拟的非侵入式降阶模型(ROM)。在处理非线性多物理场现象时,时间依赖的降阶模型通常数据需求高且难以实现。当参数依赖性被纳入考量时,这些挑战更加严峻。本文提出的本征正交分解模态系数插值(POD-MCI)降阶模型可直接从低维感兴趣量(QoIs)构建,且与底层模型无关。这极大地缓解了现有许多降阶模型对数据的需求,并可未经修改直接应用于任意复杂模型或实验数据。通过多个算例验证,POD-MCI降阶模型能在所选参数空间内准确表征感兴趣量,同时相对于全阶模型(FOMs)实现极高的计算加速比。