Abstract
Due to the high-dimensional integro-differential properties of the neutron transport equation (NTE) and the large-scale property of the nuclear reactor system, the detailed neutron transport simulation can be very time-consuming, which urges researchers to develop a fast and accurate technique. To improve this condition, this work develops a set of reduced-order models for the NTE (NTEROM) by combining the proper orthogonal decomposition (POD) and the Galerkin projection techniques to efficiently solve the neutron transport problems. Results of some typical benchmarks show that the proposed POD based NTEROM can estimate the neutron transport behaviors with high fidelity and outstanding computing efficiency. Furthermore, the prediction function of the proposed NTEROMs can be extended to approximately calculate the neutron transport problems with the parameters outside of the snapshots’ parameter range. This work can provide new perspectives and ideas on the issue of improving the efficiency of numerical calculations in nuclear reactor engineering.
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