Wielandt iteration as applied to the nodal expansion method
Journal Article
·
· Nucl. Sci. Eng.; (United States)
An implementation of Wielandt's method of eigenvalue shifting to accelerate the convergence of nodal expansion method (NEM) reactor calculations is presented. This particular formulation of the method greatly decreases the number of source iterations required for a particular degree of convergence while retaining most of the efficiency of a groupwise solution procedure for the inner iterations. The nature of the NEM equations causes Wielandt's method to behave somewhat differently than when it is applied to the finite difference equations. Results are presented for well-known two- and three-dimensional benchmark problems.
- Research Organization:
- Knolls Atomic Power Lab., P.O. Box 1072, Schenectady, NY (US)
- OSTI ID:
- 6957008
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 98:2; 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
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BENCHMARKS
EIGENVALUES
EQUATIONS
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
KINETICS
NUMERICAL SOLUTION
REACTOR KINETICS
REACTOR KINETICS EQUATIONS
SERIES EXPANSION
220100* -- Nuclear Reactor Technology-- Theory & Calculation
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BENCHMARKS
EIGENVALUES
EQUATIONS
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
KINETICS
NUMERICAL SOLUTION
REACTOR KINETICS
REACTOR KINETICS EQUATIONS
SERIES EXPANSION