Exponential supplementary equations for S/sub N/ methods: the one-dimensional case
The use of supplementary exponential equations to solve the transport equation by means of the discrete ordinate method has been studied. It is shown that the set of final equations so obtained can be easily and quickly solved on the computer using the same iterative procedure employed in standard S/sub N/ codes. The new method is implemented on ANISN and DOT-III codes. This work refers only to the one-dimensional case. Extensive numerical experiments for neutrons and gamma rays showed that the exponential scheme increases the convergence rate of the iterative procedure and always overestimates the ''reference solution'' by very small amounts for the finest mesh size and by reasonable amounts for the largest mesh size. For its own structure, the exponential method always gives positive angular fluxes without any adjustment techniques provided the source is non-negative.
- Research Organization:
- Centro di Ricerca Termica e Nucleare, Milan
- OSTI ID:
- 7306600
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 63:2; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
220100* -- Nuclear Reactor Technology-- Theory & Calculation
BOLTZMANN EQUATION
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
EQUATIONS
ITERATIVE METHODS
KINETICS
ONE-DIMENSIONAL CALCULATIONS
REACTOR COMPONENTS
REACTOR CORES
REACTOR KINETICS
REACTOR LATTICES