Advanced PWR core calculation based on multi-group nodal-transport method in three-dimensional pin-by-pin geometry

Journal of Nuclear Science and Technology

Volumn 40, Issue 6, 2003, Pages 376-387

  Tatsumi, Masahiro ^a   Yamamoto, Akio ^a,b  

^a Nuclear Fuel Industries Ltd   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

Core calculation; Diffusion acceleration; Fine mesh; Nodal method; Parallel execution; Pin by pin; Response matrix; SP3 method; Three dimensional; Transport calculation

Indexed keywords

BORON; CALCULATIONS; DIFFUSION; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; NUMERICAL METHODS; PRESSURIZED WATER REACTORS; THREE DIMENSIONAL;

DIFFUSION ACCELERATION; FINE MESH; NODAL METHOD; PARALLEL EXECUTION; PIN BY PIN; RESPONSE MATRIX; TRANSPORT CALCULATION;

REACTOR CORES;

EID: 0043201031     PISSN: 00223131     EISSN: None     Source Type: Journal    
DOI: 10.1080/18811248.2003.9715369     Document Type: Article

References (19)

1. M. Tatsumi, A. Yamamoto, “Object-oriented three-dimensional fine-mesh transport calculation on parallel/distributed environments for advanced reactor core analyses,”Nucl. Sci. Eng., 141, 190 (2002).
2. M. Tatsumi, A. Yamamoto, “SCOPE2: Object-oriented parallel code for multi-group diffusion/transport calculations in threedimensional fine-mesh reactor core geometry,” Proc. Int. Conf. On Physics of Reactors (PHYSOR2002), Seoul, Korea, Oct., 2002, p. 12A-01 (2002).
3. M. Tatsumi, A. Yamamoto, “PWR core calculations by the multi-group nodal-transport method in 3-D pin-by-pin geometry,” Trans. Am. Nucl. Soc., 87, 232 (2002).
4. E. M. Gelbard, Application of Spherical Harmonics Method to Reactor Problems, WAPD-BT-20, (1960).
5. A. Hebert, “A consistent technique for the pin-by-pin homogenization of a pressurized water reactor assembly,” Nucl. Sci. Eng., 113,227(1993).
6. A. Yamamoto, “Acceleration of response matrix method by cross section scaling,” Proc. Int. Conf. On Physics ofReactors (PHYSOR2002), Seoul, Korea, Oct., 2002, p. 1A-03 (2002).
7. K. R. Rempe, K. S. Smith, A. F. Henry, “Simulate-3 pin power reconstruction methodology and benchmarking,” Proc. Int. Reactor Physics Conf., Jackson Hole, Mississippi, Vol. III, p. 19(1988).
8. M. Edenius, B. H. Forssen, C. Gragg, “The physics model of CASMO-4,” Proc. Int. Topical Meeting Advances in Mathematics, Computations, and Reactor Physics, Pittsburgh, Pennsylvania, Apr. 28-May 2, 1991, Vol. 2, p. 10.1 1-1 (1991).
9. T. Sterling, J. Salmon, D. J. Becker, D. F. Savarese, How to build a Beowulf, A Guide to the Implementation and Application ofPC Clusters, MIT Press, Cambridge, Massachusetts, (1999).
10. W. Gropp, E. Lusk, A. Skejellum, UsingMPI: Portable Parallel Programming with the Message-Passing Interface, MIT Press, Cambridge, Massachusetts, (1994).
11. W. Gropp, E. Lusk, A. R. Thakur, Using MPI-2: Advanced Features of the Message-Passing Interface, MIT Press, Cambridge, Massachusetts, (1994).
12. Y. A. Chao, “A theoretical analysis of the coarse mesh finite difference representation in advanced nodal methods,” Proc. Int. Conf. Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications (M&C'99), Madrid, Spain, Sept., 1999, Vol. 1, p. 117 (1999).
13. Y. A. Chao, “Coarse mesh finite difference methods and applications,” Proc. Int. Conf. On Physics of Reactors (PHYSOR2000), Pittsburgh, Pennsylvania, May 7-12, 2000, p. IX.D-2 (2000).
14. K. S. Smith, “Nodal method storage reduction by nonlinear iteration,” Trans. Am. Nucl. Soc., 44,265 (1983).
15. E. W. Larsen, J. E. Morel, J. M. McGhee, “Asymptotic derivation of the multigroup P1 and simplified PN equations with anisotropic scattering,”Nucl. Sci. Eng., 123, 328 (1996).
16. J. M. Aragones, C. Ahnert, “A linear discontinuous finite difference formulation for synthetic coarse-mesh few-group diffusion calculations,”Nucl. Sci. Eng., 94, 309 (1986).
17. H. Lee, T. J. Downar, “Application of a two-level acceleration method to the pin-by-pin multigroup SP3 approximation,” Trans. Am. Nucl. Soc., 83, 243 (2001).
18. M. Zika, T. Downar, “Numerical divergence effects of equivalence theory in the nodal expansion method,” Nucl. Sci. Eng., 115,219(1993).
19. A. Yamamoto, “Convergence improvement of response matrix method with large discontinuity factors,” Submitted to Nucl. Sci. Eng.