SP₃ Solution versus Diffusion Solution in Pin-by-Pin Calculations and Conclusions Concerning Advanced Methods

REFERENCES

• Alcouffe, R.E., Baker, R.S. (1998). Time-dependent deterministic transport on parallel architectures using PARTISN. Proc. ANS Radiation Protection and Shielding, Topical Conf.1, 335, Nashville, Tennessee, USA.
   Google Scholar
• Alcouffe, R.E., Baker, R., Brinkley, F., et al. (1995). DANTSYS 3.0: A Diffusion Accelerated Neutral Particle Transport Code System. LA-12969-M, Los Alamos National Laboratory.
   Google Scholar
• Alcouffe, R.E., Randal, S.B., Jon, A.D., (2008). PARTISN: A Time-Dependent, Parallel Neutral Particle Transport Code System. LA-UR-08-07258, MANUAL, Los Alamos National Laboratory.
   Google Scholar
• Alekseev, N.I., Bol'shagin, S.N., Gomin, E.A., et al. (2012). The status of MCU-5. Physics of Atomic Nuclei 75(14):1634–1646.
   Web of Science ®Google Scholar
• Baudron, A.M., Lautard, J.J. (2007). MINOS: A simplified Pn solver for core calculation. Nucl. Sci. Eng. 155:250–263.
   Web of Science ®Google Scholar
• Beckert, C., Grundmann, U. (2007). Development and verification of a nodal approach for solving the multigroup SP3 equations. Ann. Nucl. Energy 35:75–86.
   Web of Science ®Google Scholar
• Brantley, P.S., Larsen, E.W. (2000). The simplified P3 approximation. Nucl. Sci. Eng. 134:1–21.
   Web of Science ®Google Scholar
• CASL (Consortium for Advanced Simulation of LWRs) (2013). http://web.ornl.gov/sci/nsed/docs/CASL_Project_Summary.pdf, . accessed December 10, 2013.
   Google Scholar
• Däubler, M., Jiménez, J., Sánchez, V. (2013). DYNSUB: A High-Fidelity Coupled Code System for Reactor Core Safety Assessment. Karlsruher Institut für Technologie (KIT), Eggenstein-Leopoldshafen, JK 2013.
   Google Scholar
• Gelbard, E.M. (1960). Application of spherical harmonics method to reactor problems. Tech. Report WAPD-BT-20, Bettis Atomic Power Laboratory.
   Google Scholar
• Grundmann, U., Rohde, U., Mittag, S. (2000). DYN3D—Three-dimensional core model for steady-state and transient analysis of thermal reactors. Proc. PHYSOR 2000, Pittsburgh, Pennsylvania, USA.
   Google Scholar
• “HELIOS methods.” (2008). In: Program Manual, Program HELIOS-1.10. Studsvik-Scandpower.
   Google Scholar
• Kozlowski, T., Downar, T.J. (2003). Organisation for Economic Co-operation and Development/Nuclear Energy Agency and U.S. Nuclear Regulatory Commision Pressurized Water Reactors Mixed Oxides/UO2 Core Transient Benchmark. NEA/NSC/DOC 20.
   Google Scholar
• Kozlowski, T., Xu, Y., Downar, T.J., Lee, D. (2011). Cell homogenization method for pin-by-pin neutron transport calculations. Nucl. Sci. Eng. 169:1–18.
   Web of Science ®Google Scholar
• Le Tellier, R., Fournier, D., Suteau, C. (2011). Reactivity perturbation formulation for a discontinuous Galerkin-based transport solver and its use with adaptive mesh refinement source. Nucl. Sci. Eng. 167:209–220.
   Web of Science ®Google Scholar
• Le Tellier, R., Suteau, C., Fournier, D., Ruggieri, J.M. (2009). High-order discrete ordinate transport in hexagonal geometry: A new capability in ERANOS. In: 21st International Conference on Transport Theory (ICTT-21), Torino, July 12–17.
   Google Scholar
• Lee, C.-H. (2001). A multi-level acceleration method for the multi-group SP3 approximation to the neutron transport equation, PhD thesis, Purdue University.
   Google Scholar
• Merk, B. (2012). On the possible gain of the application of the SP3 solution in nodal codes. Proc. PHYSOR 2012—Advances in Reactor Physics—Linking Research, Industry, and Education, Knoxville, Tennessee, USA, April 15–20.
   Google Scholar
• Merk, B., Duerigen, S. (2011). SP3 solution versus diffusion solution in nodal codes—Which improvement can be expected. International Conference on Transport Theory11.-15.09.2011, Portland, USA.
   Google Scholar
• Merk, B., Koch, R. (2008). On the influence of spatial discretization in LWR cell- and lattice calculations with HELIOS 1.9. Ann. Nucl. Energy 35:1492–1501.
   Web of Science ®Google Scholar
• Moon, K.S., Cho, N.Z., Noh J.M., Jo, C.K (1995). The simplified P2 approximation implemented in the AFEN diffusion nodal code. Transactions of the American Nuclear Society 72:348–351.
   Google Scholar
• Morel, E.W., Larsen, J.E., McGhee, J.M. (1996). Asymptotic derivation of the multigroup P1 and simplified PN equations with anisotropic scattering. Nucl. Sci. Eng. 123:328–342.
   Web of Science ®Google Scholar
• Rohde, U., Grundmann, U., Kliem, S. (2007). DYN3D—Advanced reactor simulations in 3D. Nuclear Energy Review 2:28–30.
   Google Scholar
• Rubin, I.E., Dneprovskaya, N.M. (1998). High-speed calculation of the multizone cell by transmission probability method. Atomnaya energiya 87(3):219–224 [In Russian].
   Google Scholar
• Rubin, I.E., Dneprovskaya, N.M. (1999). Heterogeneous calculation of hexagonal lattice by transmission probability method. Atomnaya energiya 87 [In Russian].
   Google Scholar
• Sanchez, R., Mondot, J., Stankovski, M., Cossic, A., Zmijarevic, I. (1988). APOLLO II: A user-oriented, portable, modular code for multigroup transport assembly calculations. Nucl. Sci. Eng. 100:352–362.
   Web of Science ®Google Scholar
• Smith, K., Rhodes, J. (2000). CASMO-4 characteristics methods for two-dimensional PWR and BWR core calculations. ANS/ENS International Winter Meeting and Embedded Topical Meetings, Washington D.C.
   Google Scholar
• Stammler, R.J. J., Abbate, M.J. (1983). Methods for Steady State Reactor Physics in Nuclear Design. Verlag: Academic Press.
   Google Scholar
• Tada, A., Yamamoto, Y., Yamane, Y., Kitamura, Y. (2008). Applicability of diffusion and simplified P3 theories for pin-by-pin geometry of BWR. J. Nucl. Sci. Technol. 45:997–1008.
   Web of Science ®Google Scholar
• Tatsumi, M., Yamamoto, A. (2003). Advanced PWR core calculation based on multi-group nodal transport method in three-dimensional pin-by-pin geometry. J. Nucl. Sci. Technol. 40:376–387.
   Web of Science ®Google Scholar
• Turinsky, P.J. (2012). Overview of the CASL Project. Proc. PHYSOR 2012—Advances in Reactor Physics—Linking Research, Industry, and Education, Knoxville, Tennessee, USA, April 15–20.
   Google Scholar
• Villarino, E.A., Stammler, R.J. J., Ferri, A.A., Casal, J.J. (1992). HELIOS: Angularly dependent collision probabilities. Nucl. Sci. Eng. 112:16–31.
   Web of Science ®Google Scholar