Minimally-invasive parametric model-order reduction for sweep-based radiation transport

Reduced order models for thermal radiative transfer problems based on moment equations and data-driven approximations of the Eddington tensor

“…Dimensionality reduction in the angular variable has been formulated using both the POD and reduced-basis methods [43,44,45,46,47]. POD-Petrov-Galerkin projections have been formulated for the steady-state BTE in 1D geometry [48,49]. A POD-Galerkin projection in both space and time has also been formulated for the BTE [50].…”

“…A new approach based on data-driven reduced-order models (ROMs) has been gaining popularity in recent years which make use of data-based methodologies to dimensionality reduction. Data-driven models have been developed for (i) linear particle transport problems [29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48] (ii) nonlinear RT problems [49,50,51,52,53,54,55,56,57,58,59,60], and (iii) various problems in nuclear reactor-physics [61,62,63,64,65,66,67,68,69,70,71]. The fundamental idea behind these ROMs is to leverage databases of solutions to their problems of interest (known a-priori) to develop some reduction in the dimensionality for their involved equations.…”