Abstract
Time-dependent equations of the surface harmonics method (SHM) are obtained for planar one-dimensional geometry. The equations are verified by calculations of test problems from Benchmark Problem Book ANL-7416, and the capabilities and efficiency of applying the SHM for solving the time-dependent neutron transport equation in the diffusion approximation are demonstrated. The results of the work show that the implementation of the SHG for full-scale computations will make possible substantial progress in the efficient solution of time-dependent problems of neutron transport in nuclear reactors.
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Original Russian Text © V.F. Boyarinov, A.E. Kondrushin, P.A. Fomichenko, 2012, published in VANT. Fizika yadernykh reaktorov, 2012, No. 2, pp. 18–27.
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Boyarinov, V.F., Kondrushin, A.E. & Fomichenko, P.A. Equations of the surface harmonics method for solving time-dependent neutron transport problems and their verification. Phys. Atom. Nuclei 76, 1631–1638 (2013). https://doi.org/10.1134/S1063778813140044
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DOI: https://doi.org/10.1134/S1063778813140044