Computational efficiency of some numerical methods for the multigroup discrete ordinates solution of stationary Boltzmann equations for neutrons and gamma rays in slab geometry
Journal Article
·
· Nucl. Sci. Eng.; (United States)
OSTI ID:5969887
An evaluation of the computational efficiency of some spatial discretization schemes has been carried out on a number of slab geometry problems of interest in the shielding field. The achievable accuracy for a given cost of the calculation was compared, taking into account that the actual cost depends on both the computing time and the storage required and using as an error measure the ratio to the ''reference solution'' for a global quantity like the dose rate or the fast flux. The examined cases include neutron calculations in water, concrete, and steel slabs and, in a pressurized water reactor system, the photon calculations in a lead slab. The main conclusion of the study is that, for a given cost, the exponential scheme supplies solutions more accurate than those of the linear characteristic scheme or, at least, of the same quality.
- Research Organization:
- Ente Nazionale per l'Energia Elettrica, Direzione Studi e Ricerche, Centro di Ricerca Termica e Nucleare Via Rubattino, 54, 20134 Milano
- OSTI ID:
- 5969887
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 82:4; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
21 SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS
210200* -- Power Reactors
Nonbreeding
Light-Water Moderated
Nonboiling Water Cooled
BARYONS
BOLTZMANN EQUATION
CALCULATION METHODS
COST
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
GAMMA RADIATION
GEOMETRY
HADRONS
IONIZING RADIATIONS
MASSLESS PARTICLES
MATHEMATICS
NEUTRON FLUX
NEUTRONS
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
PHOTONS
PWR TYPE REACTORS
RADIATION FLUX
RADIATIONS
REACTORS
SHIELDING
STORAGE
TIME DEPENDENCE
WATER COOLED REACTORS
WATER MODERATED REACTORS
210200* -- Power Reactors
Nonbreeding
Light-Water Moderated
Nonboiling Water Cooled
BARYONS
BOLTZMANN EQUATION
CALCULATION METHODS
COST
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
GAMMA RADIATION
GEOMETRY
HADRONS
IONIZING RADIATIONS
MASSLESS PARTICLES
MATHEMATICS
NEUTRON FLUX
NEUTRONS
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
PHOTONS
PWR TYPE REACTORS
RADIATION FLUX
RADIATIONS
REACTORS
SHIELDING
STORAGE
TIME DEPENDENCE
WATER COOLED REACTORS
WATER MODERATED REACTORS