18
Views
6
CrossRef citations to date
0
Altmetric
Technical Paper

Parallel Solution of the Neutron Diffusion Equation with the Domain Decomposition Method on a Transputer Network

&
Pages 252-270 | Published online: 13 May 2017

References

  • G. S. ALMASIAND A. GOTTLIEB Highly Parallel Computing, Benjamin Cummings Publishing Company, Redwood City, California (1989).
  • S. K. ZEE P. J. TURINSKY and Z. SHAYER “Vectorized and Multitasked Solution of the Few-Group Neutron Diffusion Equations,” Nucl. Sci. Eng., 101, 205 (1989).
  • J. M. MARTINEZVAL M. PIERA and Y. RONEN “Multipoint Schemes for the Solution of the Diffusion Equation by Vectorial Computation,” Nucl. Sci. Eng., 105, 349 (1990).
  • R. W. HOCKNEYAND C. R. JESSHOPE Parallel Computers, Adam Higler, Ltd., Bristol (1981).
  • H. FINNEMANNAND J. VOLKERT “Parallel Multi-grid Algorithm Implemented on Memory-Coupled Multiprocessors,” Nucl. Sci. Eng., 100, 226 (1988).
  • B. L. KIRKAND Y. Y. AZMY “An Iterative Algorithm for Solving the Multidimensional Neutron Diffusion Nodal Method Equations on Parallel Computers,” Nucl. Sci. Eng., Ill, 57 (1992).
  • L.-S. KANG “Domain Decomposition Method and Parallel Algorithm,” Proc. 2nd Int. Symp. Domain Decomposition Methods, T. F. CHANETet al., Eds., Los Angeles, California, January 14–16, 1989, Society for Industrial and Applied Mathematics (1989).
  • C. S. HENKELAND P. J. TURINSKY “Solution of the Few-Group Neutron Diffusion Equations on a Distributed Memory Multiprocessor,” Proc. Topi. Mtg. Advances in Reactor Physics, Charleston, South Carolina, March 8–11, 1992.
  • H. N. SARSOURAND P. J. TURINSKY “Coarse-Grain Parallel Solution of Few-Group Neutron Diffusion Equations,” Trans. Am. Nucl. Soc, 63, 204 (1991).
  • F. COULOMB “Domain Decomposition and Mixed Finite Elements for the Neutron Diffusion Equation,” Proc. 2nd Int. Symp. Domain Decomposition Methods, T. F. CHANET et al., Eds., Los Angeles, California, January 14–16, 1989, Society for Industrial and Applied Mathematics (1989).
  • R. M. STEIN “T800 and Counting,” BYTE, 287 (Nov. 1988).
  • N. R. SMITHET et al., “Parallel Processing of Monte Carlo Methods,” AEA Technology (1990).
  • “Express,” Parasoft Corporation, Pasadena, California (1990).
  • P. L. LIONS “On the Schwarz Alternating Method. I,” Proc. 1st Int. Symp. Domain Decomposition Methods, R. GLOWINSKIETet al., Eds., Paris, France, January 7–9, 1988, Society for Industrial and Applied Mathematics (1988).
  • G. RODRIGUEAND S. SHAH “Pseudo-Boundary Conditions to Accelerate Parallel Schwarz Methods,” Par-allel Supercomputing: Methods, Algorithms and Applications, G. F. CAREY Ed., John Wiley & Sons, Ltd., Chichester, England (1989).
  • J.-P. SHAOET et al., “The Convergence Rate of the Schwarz Alternating Procedure (VI) —For Unsymmetric Problems,” Int. J. Comput. Math., 25, 139 (1988).
  • L.-S. KANGAND D. J. EVANS “The Convergence Rate of the Schwarz Alternating Procedure (V)—For More Than Two Subdomains,” Int. J. Comput. Math., 23, 295 (1988).
  • D. J. EVANSET et al., “The Convergence Rate of the Schwarz Alternating Procedure (IV): With Pseudo-Boundary Relaxation Factor,” Int. J. Comput. Math., 21, 185 (1987).
  • Y. H. KIMAND N. Z. CHO “Parallel Schwarz Algorithm with Under-Relaxed Pseudo-Boundary Conditions in Domain Decomposition Method,” Int. J. Comput. Math, (to be published).
  • K. S. SMITH “An Analytic Nodal Method for Solving the Two-Group, Multidimensional, Static and Transient Neutron Diffusion Equation,” Nuclear Engineer’s Thesis, Massachusetts Institute of Technology (1979).
  • C. L. HOXIE “Application of Nodal Equivalence Theory to the Neutronics Analysis of PWR’s,” PhD Thesis, Massachusetts Institute of Technology (1982).
  • E. L. WACHSPRESS Iterative Solution of Elliptic Systems, Prentice-Hall, Englewood Cliffs, New Jersey (1966).
  • Y. H. KIMAND N. Z. CHO “Domain Decomposition Parallel Solution of the Neutron Diffusion Equation,” Trans. Am. Nucl. Soc, 64, 311 (1991).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.