Application of the symmetric SOR and the symmetric SIP methods for the numerical solution of the neutron diffusion equation
Journal Article
·
· Nucl. Sci. Eng.; (United States)
OSTI ID:6557217
The symmetric successive overrelaxation (SSOR) method and the symmetric strongly implicit procedure (SSIP) method are applied to a number of two-dimensional elliptic partial differential equations typical of those encountered in reactor engineering. The SSIP method is then incorporated in a program for multigroup diffusion calculation to compute the inner iterations. The results of applying the program to the solution of several reactor configurations are compared with the results from a version of the PDQ code. For cell problems (with Neumann bundary condition), the new methods outperform the SOR method.
- Research Organization:
- IBM Corp., Palo Alto, CA
- OSTI ID:
- 6557217
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 67:2; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
MULTIGROUP THEORY
NEUTRAL-PARTICLE TRANSPORT
NEUTRON DIFFUSION EQUATION
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
RADIATION TRANSPORT
REACTOR LATTICES
TRANSPORT THEORY
220100* -- Nuclear Reactor Technology-- Theory & Calculation
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
MULTIGROUP THEORY
NEUTRAL-PARTICLE TRANSPORT
NEUTRON DIFFUSION EQUATION
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
RADIATION TRANSPORT
REACTOR LATTICES
TRANSPORT THEORY