Numerical error analysis of direct integration method
Journal Article
·
· Transp. Theory Stat. Phys.; (United States)
Numerical errors of PALLAS calculation due to spatial mesh sizes are examined for a typical deep penetration shielding problem of isotropic incident fission neutrons penetrating a 200-cm-thick water slab. The exponential approximation for the source spatial distribution to solve the transport equation based on the direct integration method is verified to be effective for radiation transport in attenuating medium, while the linear approximation employed in the old PALLAS code is found to produce large errors for calculations with large mesh sizes.
- Research Organization:
- Ship Research Institute, Tokai-Branch
- OSTI ID:
- 5871863
- Journal Information:
- Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 15:1; ISSN TTSPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
COMPUTER CODES
DISTRIBUTION
ERRORS
HYDROGEN COMPOUNDS
MATHEMATICAL LOGIC
NEUTRAL-PARTICLE TRANSPORT
NEUTRON FLUX
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
OXYGEN COMPOUNDS
P CODES
RADIATION FLUX
RADIATION TRANSPORT
SHIELDING
SLABS
SPATIAL DISTRIBUTION
TRANSPORT THEORY
WATER
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
COMPUTER CODES
DISTRIBUTION
ERRORS
HYDROGEN COMPOUNDS
MATHEMATICAL LOGIC
NEUTRAL-PARTICLE TRANSPORT
NEUTRON FLUX
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
OXYGEN COMPOUNDS
P CODES
RADIATION FLUX
RADIATION TRANSPORT
SHIELDING
SLABS
SPATIAL DISTRIBUTION
TRANSPORT THEORY
WATER