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Atomic Energy

, Volume 121, Issue 3, pp 161–165 | Cite as

Evaluation of the Effect of Linear Scattering Anisotropy and Boundary Shape on the Calculation of K for VVER-1000 Cells with Mixed Uranium-Plutonium Power-Grade Fuel

  • N. V. Sultanov
Article

The method of surface pseudo sources for solving the multigroup neutron transport equation with scattering anisotropy and different boundary conditions by the operator splitting method was developed previously. The method was implemented in the RATsIYa option of the WIMS-SH-2.0 complex. The impact of scattering anisotropy and the form of the boundary conditions on K of VVER-1000 reactor cells with uranium-plutonium power-grade fuel was investigated. The calculations showed that the impact of each of these two effects is about 0.5%; they have different signs, as a result of which they largely compensate one another.

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References

  1. 1.
    H. Honeck, “The calculation of the thermal utilization and disadvantage factor in uranium water lattices,” Nucl. Sci. Eng., 18, 49–53 (1964).Google Scholar
  2. 2.
    J. Rowlands, A. Benslimane, J. Both, et al., “An intercomparison of calculations made for thermal reactor pin cell benchmarks and the small Los Alamos fast critical assemblies using the JEF 2.2 library in different codes,” in: Proc. Int. Conf. on the Physics of Reactors, PHYSOR-96, Mito, Japan, Sept. 16–20, 1996, pp. C-102–C-111.Google Scholar
  3. 3.
    T. Ushio, M. Mori, and D. Knott, “Application of the multiband method to square cell calculations in light water reactors,” ibid, pp. A-425–A-437.Google Scholar
  4. 4.
    N. V. Sultanov and V. G. Karabanova, “Influence of boundary conditions in multigroup calculations of the MOX fuel cell by the surface pseudo sources method,” in: Proc. Int. Conf. on Nuclear Science and Technology, USA, Oct. 5–9, 1998, pp. 15–27.Google Scholar
  5. 5.
    N. V. Sultanov, “Influence of boundary conditions in multi-group calculations cells with the mixed oxide fuel,” At. Energ., 85, No. 3, 186–193 (1998).CrossRefGoogle Scholar
  6. 6.
    N. I. Laletin and N. V. Sultanov, and V. F. Boyarinov, “Anisotropic scattering effect in calculations of the nuclear reactor cells by the surface pseudo sources method,” in: Proc. Int. Conf. Advances in Mathematics, Computations, and Reactor Physics, USA, May 5–9, 1991, pp. 20.1–20.10.Google Scholar
  7. 7.
    R. Sanchez, J. Mondot, and Z. Stankovski, “APOLLO-II: an user-oriented, portable, modular code of multigroup transport assembly calculations,” Nucl. Sci. Eng., 100, 352–358 (1988).CrossRefGoogle Scholar
  8. 8.
    J. Vujic and W. Martin, “Two-dimensional collision probability method with anisotropic scattering for vector and parallel processing,” in: Proc. Int. Conf. on the Physics of Reactor: Operations, Design, and Computation, PHYSOR-90, France, April 23–27, 1990, pp. XII-78–XII-90.Google Scholar
  9. 9.
    N. V. Sultanov, “Taking account of scattering anisotropy in multi-group calculations VVER type cells by the method of surface pseudo sources,” At. Energ., 120, No. 2, p. 69–76 (2015).Google Scholar
  10. 10.
    N. V. Sultanov, “Investigation of the effect of scattering anisotropy in multigroup calculations of VVER-1000 cells on their few-group characteristics,” in: 8th Int. Sci. Techn. Conf. on Safety Security of NPP with VVER, OKB Gidropress, Podolsk, May 28–31, 2013, Report No. 112.Google Scholar
  11. 11.
    Experimental Research on the Physics of VVER-Type Uranium Lattices: Coll. Works of VMK, Akademiya Kiado, Budapest (1984), Vol. 1.Google Scholar
  12. 12.
    I. E. Rubin and N. M. Dneprovskaya, “Multigroup calculations of critical fuel assemblies with anisotropic scattering,” At. Energ., 99, No. 1, 8–13 (2005).CrossRefGoogle Scholar
  13. 13.
    N. I. Laletin, A. A. Kovalishin, N. V. Sultanov, and M. N. Lalelkin, “Complex SVS for neutron-physics calculations in uranium water reactors,” in: Proc. Int. Conf. on Mathematics and Computations, Supercomputing, Reactor Physics, and Nuclear and Biological Applications, France, Sep. 12–15, 2005, Rep. No. 263.Google Scholar
  14. 14.
    N. I. Laletin, “Comparison of the method of surface pseudo sources (G N-approximation) with other numerical methods for solving the neutron transport equation,” Mat. Modelir., 5, No. 9, 111–124 (1993).MATHGoogle Scholar
  15. 15.
    N. I. Laletin, “Analysis of the surface pseudo sources method (GN-approximations) and comparison with other numerical methods for the neutron transport equation,” Transp. Theory and Stat. Phys., 27, No. 5–7, 639–652 (1998).ADSCrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  • N. V. Sultanov
    • 1
  1. 1.National Research Center Kurchatov InstituteMoscowRussia

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