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Title: A Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport

Abstract

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.

Authors:
 [1];  [1]
  1. Los Alamos National Laboratory
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
DOE/LANL
OSTI Identifier:
1044108
Report Number(s):
LA-UR-12-22311
TRN: US1203331
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Conference
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
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ACCURACY; CONVERGENCE; GEOMETRY; MONTE CARLO METHOD; RADIATION TRANSPORT; SCALARS; TRANSPORT

Citation Formats

Wollaeger, Ryan T., and Densmore, Jeffery D. A Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport. United States: N. p., 2012. Web.
Wollaeger, Ryan T., & Densmore, Jeffery D. A Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport. United States.
Wollaeger, Ryan T., and Densmore, Jeffery D. Tue . "A Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport". United States. https://www.osti.gov/servlets/purl/1044108.
@article{osti_1044108,
title = {A Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport},
author = {Wollaeger, Ryan T. and Densmore, Jeffery D.},
abstractNote = {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.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {6}
}

Conference:
Other availability
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