We present a parametric reduced-order model for the neutral particle radiation transport equation. The approach devised is a minimally-intrusive, projection-based reduced-order model using global modes obtained via Proper Orthogonal Decomposition. The reduced-order model is specifically designed to work in a matrix-free fashion with radiation transport solvers relying on transport sweeps. The advantages and disadvantages of this model-order reduction approach are discussed and tested on two fixed-source radiation-transport benchmark problems, as well as a k-eigenvalue benchmark. The performance of the reduced-order model in terms of speedup and accuracy are found to be problem-dependent with speedup factors of around 2 for the fixed-source benchmarks and 43 for the k-eigenvalue benchmark. The corresponding reduced solution relative error for these speedups is 1% for the fixed-source benchmarks and 4 pcm for the k-eigenvalue benchmark.

我们提出了中性粒子辐射传输方程的参数降阶模型。所设计的方法是使用通过适当正交分解获得的全局模式的最小侵入、基于投影的降阶模型。降阶模型专门设计用于以无矩阵方式与依赖传输扫描的辐射传输求解器一起工作。在两个固定源辐射传输基准问题以及一个 k 特征值基准问题上讨论和测试了这种模型降阶方法的优缺点。发现降阶模型在加速和准确性方面的性能取决于问题，固定源基准的加速因子约为 2，k 特征值基准的加速因子约为 43。