Published February 1987 | Version v1
Journal article

Fourier analysis of the diffusion synthetic acceleration method for weighted diamond-differencing schemes in cartesian geometries

  • 1. Oak Ridge National Lab., P.O. Box X, Oak Ridge, TN 37831

Description

The diffusion synthetic acceleration (DSA) method is developed for arbitrary weighted diamond-differencing schemes in general rectangular-mesh Cartesian geometry problems and is Fourier analyzed to determine its stability and convergence properties. The spectral radius is computed to be --0.25 for all meshes, angular quadrature sets, and spatial weights, for one-, two-, and three-dimensional problems. The diffusion synthetic acceleration (DSA) method is an iterative procedure for solving discrete ordinates problems

Additional details

Publishing Information

Journal Title
Nucl. Sci. Eng.
Journal Volume
95
Journal Issue
2
Series
Nucl. Sci. Eng.
Journal Page Range
106-115
ISSN
0029-5639
CODEN
NSENA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
18063727
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Descriptors DEI
ANGULAR CORRELATION; CONVERGENCE; DISCRETE ORDINATE METHOD; FOURIER ANALYSIS; GEOMETRY; QUADRATURES; SPACE DEPENDENCE; SPATIAL DISTRIBUTION; SPECTRAL FUNCTIONS; STABILITY
Descriptors DEC
CORRELATIONS; DISTRIBUTION; FUNCTIONS; MATHEMATICS