Multiprocessing for neutron diffusion and deterministic transport methods

Progress in Nuclear Energy

Volumn 31, Issue 3, 1997, Pages 317-368

  Azmy, Yousry Y ^a  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008537124     PISSN: 01491970     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0149-1970(96)00015-7     Document Type: Article

References (91)

1. Azmy Y. Y. (1988) Multidimensional Nodal Transport Methods for Multiple-Instruction Multiple-Data, Distributed Memory Machines. Trans. Am. Nucl. Soc. 56, p. 292.
2. Azmy Y. Y. (1990) Parallel Performance Models for the Nodal Transport Method on the Hypercube. Trans. Am. Nucl. Soc. 62, p. 300.
3. Azmy Y. Y. (1992) Performance and Performance Modeling of a Parallel Algorithm for Solving the Neutron Transport Equation. J. Supercomputing 6, 211. See Also: Azmy Y. Y. (1990) On the Adequacy of Message-Passing Parallel Supercomputers for Solving Neutron Transport Problems. Supercomputing 90 p. 693, New York, November 12-16.
4. Azmy Y. Y. (1992) Performance and Performance Modeling of a Parallel Algorithm for Solving the Neutron Transport Equation. J. Supercomputing 6, 211. See Also: Azmy Y. Y. (1990) On the Adequacy of Message-Passing Parallel Supercomputers for Solving Neutron Transport Problems. Supercomputing 90 p. 693, New York, November 12-16.
5. Azmy Y. Y. (1993a) General Order Nodal Transport Methods and Application to Parallel Computing. TTSP 22, 359.
6. n Equations on Message-Passing Multiprocessors. Trans. Am. Nucl. Soc. 69, p. 203.
7. Azmy Y. Y. (1994) Neutron Transport Methods on Scalable Shared Memory Multiprocessors. 1994 ANS Reactor Physics Conference, Vol. I, p. 396. Knoxville, Tennessee, April 11-15.
8. Azmy Y. Y., Barnett D. A., and Burre C. A. (1996) Multitasking the Three-Dimensional Transport Code TORT on Cray Platforms. To appear in the Proc. 1996 ANS Radiation Protection and Shielding Conference, N. Falmouth, MA, April 21-25.
9. Azmy Y. Y. and Kirk B. L. (1990a) Convergence Properties of Iterative Algorithms for Solving the Nodal Diffusion Equations. 1990 ANS International Mathematics and Computation Conference, Vol. 2, p. 35. Marseille, France, April 23-27.
10. Azmy Y. Y. and Kirk B. L. (1990b) A Highly Efficient Parallel Algorithm for Solving the Neutron Diffusion Nodal Equations on Shared-Memory Computers. Trans. Am. Nucl. Soc. 61, p. 156.
11. Azmy Y. Y. and Kirk B. L. (1995) Performance Modeling of Parallel Algorithms for Solving Neutron Diffusion Problems. Nucl. Sci. Eng. 120, 1.
12. Bailey D. H. (1995) NASA Ames' Bailey Responds to Kennedy Article. Parallel Computing Research 3, issue 2, p. 4.
13. Baker R. S., Asano C., and Shirley D. N. (1995) Implementation of the First-Order Form of the 3-D Discrete Ordinates Equations on a T3D. Trans. Am. Nucl. Soc. 73, p. 170.
14. Barbucci P., Gheri P., Mariotti G., Codenotti B., and Mastropietro L. (1991) A Vectorized Partition Algorithm for Discrete Ordinates Codes. International Conference on Supercomputing in Nuclear Applications, p. 291. Mito City, Japan, March 12-16, 1990.
15. Collart J. M., Fedon-Magnaud C., and Lautard J. J. (1987) Parallel Diffusion Calculation for the PHAETON On-Line Multiprocessor Computer. 1987 ANS International Mathematics and Computation Conference, p. 59. Paris, France, April 27-30.
16. Cornell Theory Center (1996) Cornell Theory Center Virtual Workshop: Parallel Programming with Message-Passing Libraries. http://www.tc.cornell.edu/Edu/VW.
17. Dongarra J. (1995) Performance of Various Computers Using Standard Linear Equations Software in a Fortran Environment. University of Tennessee Technical Report CS-89-85.
18. Dorr M. R. and Salo E. M. (1995) Performance of a Neutron Transport Code with Full Phase Space Decomposition on the Cray Research T3D. 1995 ANS International Mathematics and Computation Conference, p. 1535. Portland, Oregon, April 30-May 4.
19. Dorr M. R. and Still C. H. (1996) Concurrent Source Iteration in the Solution of Three-Dimensional, Multigroup, Discrete Ordinates Neutron Transport Equations. Nucl. Sci. Eng. 122, to appear.
20. Dunigan T. H. (1992) Communication Performance of the Intel Touchstone DELTA Mesh. Oak Ridge National Laboratory, TM-11983.
21. Finnemann H. and Volkert J. (1988) Parallel Multigrid Algorithms Implemented on Memory-Coupled Multiprocessors. Nucl. Sci. Eng. 100, 226. See Also: Finnemann H. and Volkert J. (1987) Parallel Multigrid Algorithms Implemented on Memory-Coupled Multiprocessors. 1987 ANS International Mathematics and Computation Conference, p. 3. Paris, France, April 27-30.
22. Finnemann H. and Volkert J. (1988) Parallel Multigrid Algorithms Implemented on Memory-Coupled Multiprocessors. Nucl. Sci. Eng. 100, 226. See Also: Finnemann H. and Volkert J. (1987) Parallel Multigrid Algorithms Implemented on Memory-Coupled Multiprocessors. 1987 ANS International Mathematics and Computation Conference, p. 3. Paris, France, April 27-30.
23. Fox G., Johnson M., Lyzenga G., Otto S., Salmon J., and Walker D. (1988) Solving Problems on Concurrent Processors. Vol. I, Prentice Hall, New Jersey.
24. Geist A., Beguelin A., Dongarra J., Jiang W., Manchek R., Sunderam V. (1994) PVM 3 User's Guide and Reference Manual. Oak Ridge National Laboratory, TM-12187.
25. Gregoire J. P., Blanchon F., Verwaerde D. (1991) Vectorization and Parallelization in the 3D Neutron Diffusion Code COCCINELLE. International Conference on Supercomputing in Nuclear Applications, p. 320. Mito City, Japan, March 12-16, 1990.
26. N Transport Theory Algorithm. Trans. Am. Nucl. Soc. 59, p. 155.
27. n Transport Theory Method. Nucl. Sci. Eng. 108, 267.
28. n Algorithms for the Curvilinear Geometries. Symposium on Numerical Transport Theory, 94. Moscow, Russia, May 26-28, 1992.
29. n Algorithms for the Curvilinear Geometries. Symposium on Numerical Transport Theory, 94. Moscow, Russia, May 26-28, 1992.
30. n Transport Theory Method TTSP 22, 391.
31. N Algorithm Based on the Spatial Domain Decomposition. 1991 ANS Mathematics and Computation Conference, No. 1.1 3. Pittsburgh, PA, April 28-May 2.
32. Haghighat A., Hunter M., and Mattis R. E. (1994) Iterative Schemes for Parallel Sn Algorithms. 1994 ANS Reactor Physics Conference, Vol. I, p. 423. Knoxville, Tennessee, April 11-15.
33. n Algorithms in a Shared-Memory Computing Environment. Nucl. Sci. Eng. 121, 103.
34. N Calculations on the IBM 3090. Trans. Am. Nucl. Soc. 60, p. 367.
35. N Transport Theory Method. International Conference on Supercomputing in Nuclear Applications, p. 295. Mito City, Japan, March 12-16, 1990.
36. n Response Matrix Methods for Massively Parallel Computers. Trans. Am. Nucl. Soc. 63, p. 180.
37. Hanebutte U. R., Laurin-Kovitz K., and Lewis E. E. (1992) Massively Parallel Red-Black Algorithms for x-y-z Response Matrix Equations. Trans. Am. Nucl. Soc. 66, p. 275.
38. Hanebutte U. R. and Lewis E. E. (1991) A Discrete Ordinate Response Matrix Method for Massively Parallel Computers. 1991 ANS Mathematics and Computation Conference, No. 1.1 1. Pittsburgh, PA, April 28-May 2.
39. Hanebutte U. R. and Lewis E. E. (1992a) A Massively Parallel Discrete Ordinates Response Matrix Method for Neutron Transport. Nucl. Sci. Eng. 111, 46.
40. Hanebutte U. R. and Lewis E. E. (1992b) Massively Parallel Nodal Discrete Ordinates Method. Trans. Am. Nucl. Soc. 65, p. 199.
41. Hanebutte U. R. and Lewis E. E. (1993) Massively Parallel Performance of Neutron Transport Response Matrix Algorithms. 1993 ANS International Mathematics and Computation Conference, p. 41. Karlsruhe, Germany, April 19-23.
42. Henkel C. S. and Turinsky P. J. (1992) Solution of the Few-Group Neutron Diffusion Equations on a Distributed Memory Multiprocessor. 1992 ANS Reactor Physics Conference, Vol. 1, p. 108. Charleston, South Carolina, March 8-11.
43. n. 1989 ANS Mathematics and Computation Conference, No. 70. Santa Fe, New Mexico, April 9-13.
44. Hockney R. W. and Jesshope C. R. (1988) Parallel Computers 2: Architecture, Programming and Algorithms, Adam Hilger, Philadelphia.
45. Honeck H. C. (1981) Simulation of a Parallel Processor on a Serial Processor: The Neutron Diffusion Equation. 1981 ANS International Mathematics and Computation Conference, Vol. 2, p. 529. Munich, FRG, April 27-29.
46. Hove C. and Metcalf D. (1991) A "Massively Parallel" Algorithm for Two-Dimensional Discrete Ordinates Neutron Transport Calculations. 1991 ANS Mathematics and Computation Conference, No. 11.2 4. Pittsburgh, PA, April 28-May 2.
47. N Algorithms for Shared Memory Parallel Machines. 1993 ANS International Mathematics and Computation Conference, p. 112. Karlsruhe, Germany, April 19-23.
48. Joo H. G. and Downar T. J. (1995) Incomplete Domain Decomposition Preconditioning for Coarse Mesh Neutron Diffusion Problems. 1995 ANS International Mathematics and Computation Conference, p. 1584. Portland, Oregon, April 30-May 4.
49. Kennedy K. (1994) Is Parallel Computing Dead? Parallel Computing Research 2, issue 4, p. 2.
50. Kennedy K. (1995) Parallel Computing: What We Did Wrong and What We Did Right. Parallel Computing Research 3, issue 1, p. 2.
51. Kim Y. H. and Cho N. Z. (1991) Domain Decomposition Parallel Solution of the Neutron Diffusion Equation on a Transputer Network. Trans. Am. Nucl. Soc. 64, p. 311.
52. Kim Y. H. and Cho N. Z. (1993a) Parallel Schwarz Algorithm with Under-Relaxed Pseudo-boundary Conditions in Domain Decomposition Method. Intern. J. Computer Math. 48, 203. See Also: Kim Y. H. and Cho N. Z. Parallel Schwarz Algorithm for the Neutron Diffusion Equation on an MIMD Architecture. 1993 ANS International Mathematics and Computation Conference, p. 100. Karlsruhe, Germany, April 19-23.
53. Kim Y. H. and Cho N. Z. (1993a) Parallel Schwarz Algorithm with Under-Relaxed Pseudo-boundary Conditions in Domain Decomposition Method. Intern. J. Computer Math. 48, 203. See Also: Kim Y. H. and Cho N. Z. Parallel Schwarz Algorithm for the Neutron Diffusion Equation on an MIMD Architecture. 1993 ANS International Mathematics and Computation Conference, p. 100. Karlsruhe, Germany, April 19-23.
54. Kim Y. H. and Cho N. Z. (1993b) Parallel Solution of the Neutron Diffusion Equation with Domain Decomposition Method on a Transputer Network. Nucl. Sci. Eng. 114, 252.
55. N Transport Calculations on a Transputer Network. Korean Nuclear Society Spring Meeting, 29. Pohang, Korea, May 1994.
56. Kirk B. L. and Azmy Y. Y. (1988) Hypercube Applications of the x-y Geometry Nodal Method for the Neutron Diffusion Equation. Trans. Am. Nucl. Soc. 57, p. 104.
57. Kirk B. L. and Azmy Y. Y. (1989) A Parallel Approach to the Nodal Method Solution of the Two-Dimensional Diffusion Equation. 1989 ANS Mathematics and Computation Conference, No. 23. Santa Fe, New Mexico, April 9-13.
58. Kirk B. L. and Azmy Y. Y. (1991) An Optimized Algorithm for the Nodal Diffusion Method on Shared Memory Multiprocessors International Conference on Supercomputing in Nuclear Applications, p. 325. Mito City, Japan, March 12-16, 1990.
59. Kirk B. L. and Azmy Y. Y. (1992) An Iterative Algorithm for Solving the Multidimensional Neutron Diffusion Nodal Method Equations on Parallel Computers. Nucl. Sci. Eng. 111, 57.
60. Kirk B. L. and Azmy Y. Y. (1994) A New Communication Scheme for the Neutron Diffusion Nodal Method in a Distributed Computing Environment. 1994 ANS Reactor Physics Conference, Vol. I, p. 298. Knoxville, Tennessee, April 11-15.
61. Koch K. R., Baker R. S., and Alcouffe R. E. (1992) Solution of First-Order Form of Three-Dimensional Discrete Ordinates Equations on a Massively Parallel Machine. Trans. Am. Nucl. Soc. 65, p. 198.
62. Lautard J. J. and Moreau F. (1993) A Fast 3D Parallel Diffusion Solver Based on a Mixed Dual Finite Element Approximation. 1993 ANS International Mathematics and Computation Conference, p. 89. Karlsruhe, Germany, April 19-23.
63. Lawrence R. D. (1986) Progress in Nodal Methods for the Solution of the Neutron Diffusion and Transport Equations. Prog. Nucl. Energy 17, 271.
64. Majumdar A. and Martin W. R. (1992) Parallel Preconditioned Conjugate Gradient Algorithm Applied to Neutron Diffusion Problem. Trans. Am. Nucl. Soc. 65, p. 209.
65. N Method. 1991 ANS Mathematics and Computation Conference, No. 1.1 4. Pittsburgh, PA, April 28-May 2.
66. n Transport Method. Trans. Am. Nucl. Soc. 63, p. 181.
67. n Method. Nucl. Sci. Eng. 111, 180.
68. n Algorithms on Workstation Networks. 1994 ANS Radiation Protection and Shielding Conference, Vol. I, p. 558. Arlington, Texas, April 24-27.
69. N Equations on the Connection Machine. 1991 ANS Mathematics and Computation Conference, No. 1.1 3. Pittsburgh, PA, April 28-May 2.
70. Müller R., Böer R., and Finnemann H. (1989) Software Development for Reactor Simulation on Multiprocessor Systems. 1989 ANS Mathematics and Computation Conference, No. 25. Santa Fe, New Mexico, April 9-13.
71. Nakamura S., (1977) Computational Methods in Engineering and Science. John Wiley, New York.
72. Rajagopalan S., Jethra A., Ghodgaonkar M. D., and Menon S. V. G. (1991) Parallel Iterative Algorithms for Solving Fundamental Mode Neutron Flux Distribution. Ann. Nucl. Energy 18, 81.
73. Rajic H. L. and Ougouag A. M. (1988) A Vectorized-Concurrent Nodal Neutron Diffusion Method. 1988 ANS International Reactor Physics Conference, Vol. IV, p. 163. Jackson Hole, Wyoming, September 18-21.
74. Rajic H. L. and Ougouag A. M. (1989) ILLICO: A Nodal Neutron Diffusion Method for Modern Computer Architectures. Nucl. Sci. Eng. 103, 392.
75. Rajic H. L. and Ougouag A. M. (1991) A Burnup Corrected 3-D Nodal Depletion Method for Vector and Parallel Computer Architectures. International Conference on Supercomputing in Nuclear Applications, p. 336. Mito City, Japan, March 12-16, 1990.
76. Rhoades W. A. and Flanery R. E. (1989) 3-D Discrete Ordinates Calculations with Parallel-Vector Processors. 1989 ANS Mathematics and Computation Conference, No. 69. Santa Fe, New Mexico, April 9-13.
77. Sarsour H. N., and Turinsky P. J. (1991) Coarse-Grain Parallel Solution of Few-Group Neutron Diffusion Equations. Tans. Am. Nucl. Soc., 63, p. 203.
78. Sarsour H. N., Turinsky P. J., and Henkel C. S. (1992) Parallel Solution of the Few-Group Neutron Diffusion Equations. Proc. Fifth SIAM Conf. on Parallel Processing, p. 269, SIAM, Philadelphia.
79. Turinsky P. J., Shayer Z., Sarsour H. N., and Al-Chalabi R. (1989) Benchmarking of Codes on Computers with Parallel Hardware. 1989 ANS Mathematics and Computation Conference, No. 40. Santa Fe, New Mexico, April 9-13.
80. Vandewalle S., De Keyser J., Piessens R. (1989) The Numerical Solution of Elliptic Partial Differential Equations on a Hypercube Multiprocessor. Scientific Computing on Supercomputers, Eds. Jozef T. Devreese and Piet E. Van Camp; p. 69. Plenum Press, New York.
81. n Iteration Schemes. 1985 ANS Mathematics and Computation Conference, Vol. 1, p. 72. Knoxville, Tennessee, April 9-11.
82. n Iteration Schemes. 1985 ANS Mathematics and Computation Conference, Vol. 1, p. 72. Knoxville, Tennessee, April 9-11.
83. n Transport Algorithms. TTSP 15, 49.
84. Wienke B. R., Hiromoto R. E., and Brickner R. G. (1987) Parallel Discrete Ordinates Algorithms on Distributed and Common Memory Systems. Trans. Am. Nucl. Soc. 55, p. 321.
85. N Methods. Trans. Am. Nucl. Soc. 66, p. 274.
86. Yavuz M., and Larsen E. W. (1989) Spatial Domain Decomposition for Neutron Transport Problems. TTSP 18, 205. See Also: Yavuz M., and Larsen E. W. (1989) Spatial Domain Decomposition Methods for Discrete-Ordinates Problems. 1989 ANS Mathematics and Computation Conference, No. 14. Santa Fe, New Mexico, April 9-13.
87. Yavuz M., and Larsen E. W. (1989) Spatial Domain Decomposition for Neutron Transport Problems. TTSP 18, 205. See Also: Yavuz M., and Larsen E. W. (1989) Spatial Domain Decomposition Methods for Discrete-Ordinates Problems. 1989 ANS Mathematics and Computation Conference, No. 14. Santa Fe, New Mexico, April 9-13.
88. N Problems on Parallel Architecture Computers. Nucl. Sci. Eng. 112, 32.
89. Zee K. S., and Turinsky P. J. (1987a) Vectorized and Multi-Tasked Solutions of the Two-Group Neutron Diffusion Equations. 1987 ANS International Mathematics and Computation Conference, p. 83. Paris, France, April 27-30.
90. Zee K. S., and Turinsky P. J. (1987b) Parallel Solutions of the Two-Group Neutron Diffusion Equations. Trans. Am. Nucl. Soc. 55, p. 319.
91. Zee K. S., Turinsky P. J., and Shayer Z. (1989) Vectorized and Multitasked Solution of the Few-Group Neutron Diffusion Equations. Nucl. Sci. Eng. 101, 205.