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Variance reduction in hybrid CADIS calculations of radiation shielding for VVER

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The possibility of decreasing the variance in Monte Carlo calculations of radiation shielding by using a hybrid CADIS method is analyzed. CADIS that does not touch the main blocks of the MCU program for solving the transfer equation by the Monte Carlo method is proposed. The value function is calculated using the KATRIN program, intended for solving the transfer equation in a three-dimensional geometry by the SN method, in combination with the ConDat converter for converting the combinatorial description of the geometry in the format of the MCU program to a difference grid of the problem with local mass balance. CADIS is implemented by using a weight window with respect to collisions and limitation of the maximum optical path length, which is equivalent to a total weight window. The computational gain in calculating the fast neutron fluence in a VVER-440 and -1000 vessel can reach ~1000-fold.

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References

  1. DOORS3.2One-, Two-, and Three-Dimensional Discrete Ordinates Neutron/Photon Transfer Code System, RSICC Computer Code collection: CCC-650, Oak Ridge National Laboratory (1998).

  2. A. M. Volshchenko, S. V. Gukov, A. A. Russkov, et al., “CNCSN-2: One-, two-, and three-dimensional coupled neutral and charged particle discrete ordinates code system,” in: Proc. Int. Conf. on Advances in Mathematics, Computational Methods, and Reactor Physics, Saratoga Springs, USA, May 3–7, 2009, CD-ROM No 201871.

  3. J. Bucholz, S. Antonov, and S. Belousov, BGL440 and BGL1000 Broad Group Neutron/Photon Cross-Section Libraries Derived from ENDF/B VI Nuclear Data, IAEA Report INDC(BUL)-15 (1996).

  4. J. Wagner and A. Haghighat, “Automated variance reduction of Monte Carlo shielding calculations using the discrete ordinates adjoint function,” Nucl. Sci. Eng., 128, 186–208 (1998).

    Google Scholar 

  5. A. Haghighat and J. Wagner, “Monte Carlo variance reduction with deterministic importance function,” Prog. Nucl. Energy J., 42, No. 1, 25–53 (2003).

    Article  Google Scholar 

  6. M. Kalos, F. Nakach, and J. Selnik, “Monte Carlo methods in application to the solution of reactor problems,” in: Computational Methods in Reactor Physics, edited by H. Greenspan, K. Kelber, and D. Okrend [Russian translation], Atomizdat, Moscow (1972), pp. 224–273.

    Google Scholar 

  7. E. A. Gomin, “MCU-4 status,” Vopr. At. Nauki Tekhn. Ser. Fiz. Yad. Reakt., No. 1, 6–32 (2006).

  8. U. Chen and Y. Liu, “Dose calculations for the BNCT treatment room at THOR by the TORT-coupled MCNP4C technique,” in: Int. Topical Meeting on Mathematics and Computation, Supercomputing, Reactor Physics, and Nuclear and Biological Applications M&C2005, Avignon, France, September 2005, CD-ROM No. 107.

  9. Y. Chen and U. Fisher, “Three-dimensional coupled Monte Carlo discrete ordinates computational scheme for shielding calculations of large and complex nuclear facilities,” ibid., CD-ROM No. 36.

  10. R. Shen, A. Chen,Y. Liu, et al., “Shielding calculations for a spent fuel storage cask: a comparison of discrete ordinates, Monte-Carlo, and hybrid methods,” Nucl. Sci. Eng., 159, 23–36 (2008).

    Google Scholar 

  11. J. Wagner and A. Haghighat, A3MCNP: Automatic Adjoint Accelerated MCNP. User’s Manual, Version 1.0i, Oak Ridge National Laboratory (2000).

  12. M. I. Gurevich, A. A. Russkov, and A. M. Voloshchenko, ConDat 1.0 – Program for Converting Initial Data from Combinatorial into Raster Geometry Using a Tracing Algorithm. User Instructions, Preprint IPM im. Keldysha RAN, No. 12 (2007).

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Translated from Atomnaya Énergiya, Vol. 110, No. 1, pp. 6–12, January, 2011.

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Russkov, A.A., Voloshchenko, A.M. & Gurevich, M.I. Variance reduction in hybrid CADIS calculations of radiation shielding for VVER. At Energy 110, 6–13 (2011). https://doi.org/10.1007/s10512-011-9383-7

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