Variational Variance Reduction for Monte Carlo Criticality Calculations
Conference
·
OSTI ID:786275
- University of Michigan, Ann Arbor, MI (United States)
A new variational variance reduction (VVR) method for Monte Carlo criticality calculations was developed. This method employs (a) a variational functional that is more accurate than the standard direct functional, (b) a representation of the deterministically obtained adjoint flux that is especially accurate for optically thick problems with high scattering ratios, and (c) estimates of the forward flux obtained by Monte Carlo. The VVR method requires no nonanalog Monte Carlo biasing, but it may be used in conjunction with Monte Carlo biasing schemes. Some results are presented from a class of criticality calculations involving alternating arrays of fuel and moderator regions.
- Research Organization:
- University of Michigan, Ann Arbor, MI (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA), Nuclear Criticality Safety Program (NCSP)
- OSTI ID:
- 786275
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
97 MATHEMATICS AND COMPUTING
ADJOINT FLUX
CRITICALITY
Criticality
DESIGN
FUNCTIONALS
Functionals
MODERATORS
MONTE CARLO METHOD
Monte Carlo Method
NUCLEAR FUELS
Neutron Transport Theory
Nuclear Criticality Safety Program (NCSP)
REACTOR CORES
Reactor Cores
SCATTERING
VARIATIONAL METHODS
Variational Methods
97 MATHEMATICS AND COMPUTING
ADJOINT FLUX
CRITICALITY
Criticality
DESIGN
FUNCTIONALS
Functionals
MODERATORS
MONTE CARLO METHOD
Monte Carlo Method
NUCLEAR FUELS
Neutron Transport Theory
Nuclear Criticality Safety Program (NCSP)
REACTOR CORES
Reactor Cores
SCATTERING
VARIATIONAL METHODS
Variational Methods