%AWollaeger, Ryan T.[Los Alamos National Laboratory]
%ADensmore, Jeffery D.[Los Alamos National Laboratory]
%D2012%K73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ACCURACY; CONVERGENCE; GEOMETRY; MONTE CARLO METHOD; RADIATION TRANSPORT; SCALARS; TRANSPORT
%MOSTI ID: 1044108
%PMedium: ED
%TA Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport
%Uhttp://www.osti.gov/scitech//servlets/purl/1044108/
%XResidual 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.
%0Conference
%@LA-UR-12-22311; TRN: US1203331
United StatesTRN: US1203331Wed Dec 05 11:57:25 EST 2012LANLEnglish