Abstract

Consumption of computing resource in neutron transport solving has been gradually emphasized, especially for large-scale engineering calculation. To simulate the neutron transport processes efficiently, based on theory of proper orthogonal decomposition (POD), a novel reduced-order model called reduced-order with least square-finite difference method (RO-LSFDM) is proposed in this work, which is constructed by combining with the finite difference method (FDM) and least square method (LSM). Compared with the widely used reduced basis-finite element method, the proposed RO-LSFDM is much easier to execute and computing resource saving. Results of some typical benchmark problems prove that the RO-LSFDM can obtain accurate neutron distribution with high efficiency in mono-group, multi-group, source-driven and eigenvalue problems. Compared with classical discrete-ordinate method, the proposed method can reach thousands of times speedup ratio. This work can provide a new perspectives and directions on the research of improving the efficiency of numerical calculations in nuclear reactor engineering.

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