A Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport
- Los Alamos National Laboratory
Residual Monte Carlo provides exponential convergence of statistical error with respect to the number of particle histories. In the past, residual Monte Carlo has been applied to a variety of angularly discrete radiation-transport problems. Here, we apply residual Monte Carlo to spatially discrete, angularly continuous transport. By maintaining angular continuity, our method avoids the deficiencies of angular discretizations, such as ray effects. For planar geometry and step differencing, we use the corresponding integral transport equation to calculate an angularly independent residual from the scalar flux in each stage of residual Monte Carlo. We then demonstrate that the resulting residual Monte Carlo method does indeed converge exponentially to within machine precision of the exact step differenced solution.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- DOE/LANL
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1044108
- Report Number(s):
- LA-UR-12-22311; TRN: US1203331
- Resource Relation:
- Conference: American Nuclear Society Annual Meeting ; 2012-06-24 - 2012-06-24 ; Chicago, Illinois, United States
- Country of Publication:
- United States
- Language:
- English
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