Synthetic acceleration for a two-dimensional characteristic method in unstructured meshes

Nuclear Science and Engineering

Volumn 136, Issue 1, 2000, Pages 122-139

  Sanchez, Richard ^a   Chetaine, Abdelhuahed ^a,b  

^a Serv d'Etud Reacteurs M   (France)

^b FACULTÉ DES SCIENCES   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER AIDED ANALYSIS; COMPUTER SOFTWARE; ITERATIVE METHODS;

FOURIER ANALYSIS; SOFTWARE PACKAGE TDT; SYNTHETIC ACCELERATION TECHNIQUE;

NUCLEAR REACTORS;

EID: 0034270289     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE136-122     Document Type: Article

References (23)

1. G. J. BELL and S. GLASSTONE, Nuclear Reactor Theory, Van Nostrand Reinhold Company, New York (1970).
2. Y. Y. AZMY, "Arbitrarily High Order Characteristic Methods for Solving the Neutron Transport Equation," Ann. Nucl. Energy, 19, 10-12, 593 (1992).
3. M. J. HALSALL, "A Characteristic Solution to the Neutron Transport Equation in Complicated Geometries," AEEW-R 1291, UKAEA Atomic Energy Establishment, Winfrith (Apr. 1980).
4. L. GOLDBERG, "GTRAN2 Adaptation of the Characteristics Method: CHAR Module," UCBNE-NRP-951, University of California, Berkeley (1995).
5. R. SANCHEZ, J. MONDOT, Z. STANKOVSKI, A. COSSIC, and I. ZMIJAREVIC, "APOLLO II: A User-Oriented, Portable, Modular Code for Multigroup Transport Calculations," Nucl. Sci. Eng., 100, 352 (1988).
6. S. LOUBIÈRE, R. SANCHEZ, M. COSTE, A. HÉBERT, Z. STANKOVSKI, C. VAN DER GUTH, and I. ZMIJAREVIC, "APOLLO2 Twelve Years Later," Proc. Int. Conf. Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, Madrid, Spain, 1999.
7. R. SANCHEZ and Z. STANKOVSKI, "SILENE & TDT: A Code for Collision Probability Calculations in XY Geometries," Trans. Am. Nucl. Soc., 68, 458 (1993).
8. Z. STANKOVSKI, "La Java de Silène: A Graphical User Interface for 3D Pre & Post Processing," Proc. Joint Int. Conf. Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, New York, October 6-10, 1997, Vol. 1, p. 235, American Nuclear Society (1997).
9. K. M. CASE, F. DE HOFFMANN, and G. PLACZEK, "Nuclear Introduction to the Theory of Neutron Diffusion," Los Alamos Scientific Laboratory (1953).
10. I. ZMIJAREVIC, "Multidimensional Discrete Ordinates Nodal and Characteristics Methods for the APOLLO2 Code," Proc. Int. Conf. Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, Madrid, Spain, 1999.
11. E. W. LARSEN, "Diffusion-Synthetic Acceleration Methods for Discrete-Ordinates Problems," Transp. Theory Stat. Phys., 13, 162, 107 (1984).
12. R. E. ALCOUFFE, "Diffusion Synthetic Acceleration Methods for the Diamond-Differenced Discrete-Ordinates Equations," Nucl. Sci. Eng., 64, 344 (1977).
13. H. KHALIL, "Effectiveness of a Consistently Formulated Diffusion-Synthetic Acceleration Differencing Approach," Nucl. Sci. Eng., 98, 226 (1988).
14. E. W. LARSEN, "Transport Acceleration Methods as Two-Level Multigrid Algorithms," Operator Theory: Advances Applications, Vol. 51, Birkhauser Verlag, Basel, Switzerland (1991).
15. M. R. ZIKA and M. L. ADAMS, "Transport Synthetic Acceleration for the Long-Characteristics Discretization," Proc. Joint Int. Conf. Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, New York, October 5-9, 1997, Vol. 1, p. 353, American Nuclear Society (1997).
16. R. BARRET et al., "Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods," SIAM (1994).
17. J. STEPANEK, T. AUERBACH, and W. HALG, "Calculation of Four Thermal Benchmarks in X-Y Geometry," EIR-Bericht Nr. 464, Federal Institute of Technology (ETH) (1982).
18. A. PUILL and J. BERGERON, "Advanced Plutonium Fuel Assembly: An Advanced Concept for Using Plutonium in Pressurized Water Reactors," Nucl. Technol., 119, 123 (1997).
19. K. A. MATHEWS and C. R. BRENNAN, "Exponential Characteristic Nonlinear Radiation Transport Method for Unstructured Grids of Triangular Cells," Nucl. Sci. Eng., 126, 264 (1997).
20. B. G. CARLSON, "A Method of Characteristics and Other Improvements in Solution Methods for the Transport Equation," Nucl. Sci. Eng., 61, 408 (1976).
21. I. R. SUSLOV, "Solution of Transport Equation in 2-and 3-Dimensional Irregular Geometry by the Method of Characteristics," Proc. Int. Conf. Mathematical Methods and Supercomputing in Nuclear Applications, Karlsruhe, Germany, April 19-23, 1993, p. 752 (1993).
22. Y. SAAD, "Iterative Methods for Sparse Linear Systems," PWS Publishing Company, Boston, Massachusetts (1996).
23. A. SANTANDREA, Personal Communication (1999).