Abstract
In accordance with the existence of macro- and micro-distributions of the flux in reactor lattices, a description of the scattering anisotropy and the average fluxes in the cell zones using sequences of macro- and micro-harmonics is proposed. The former are the standard spherical functions in application to finite regions; they are no longer complete and (aside from the anisotropy of the macrodistribution of the flux in the lattice) can describe the anisotropy of the microdistribution of the flux in cells only if the ring-shaped zones are partitioned in detail along the azimuth. Consequently, microharmonics are introduced in the general case for describing the anisotropy of the microdistribution of the flux in the cells. The computational results presented show that the proposed method is adequate.
Similar content being viewed by others
REFERENCES
I. E. Rubin and N. M. Dneprovskaya, “Heterogeneous calculation of hexagonal lattices by the passage probability method,” At. Énerg., 87, No. 5, 330–335 (1999).
I. E. Rubin and N. M. Dneprovskaya, “Two-dimensional heterogeneous calculation of irregular lattices,” ibid., 91, No. 6, 438–443 (2001).
E. Villarino, R. Stamm'ler, A. Ferri, and J. Casal, “HELIOS: angularly dependent collision probabilities,” Nucl. Sci. Eng., 112, 16–31 (1992).
E. Fuentes and P. Turinsky, “Consistent fidelity comparison of integral transport methods,” Trans. Amer. Nucl. Soc., 71, 270–272 (1992).
D. Bell and S. Glasstone, Theory of Nuclear Reactors [Russian translation], Atomizdat, Moscow (1974).
N. I. Laletin, N. V. Sultanov, Yu. A. Vlasov, and S. I. Konyaev, “Influence of scattering anisotropy on the thermal-neutron utilization coefficients,” At. Énerg., 34, No. 6, 450–454 (1973).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rubin, I.E., Dneprovskaya, N.M. Calculation of Reactor Lattices with Scattering Anisotropy by the Passage-Probability Method. Atomic Energy 93, 727–733 (2002). https://doi.org/10.1023/A:1021767916331
Issue Date:
DOI: https://doi.org/10.1023/A:1021767916331