Fourier Analysis of the Diffusion Synthetic Acceleration Method for Weighted Diamond-Differencing Schemes in Cartesian Geometries

Y. Y. Azmy; Edward W. Larsen

doi:dx.doi.org/10.13182/NSE87-A20421

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 95 / Number 2

Fourier Analysis of the Diffusion Synthetic Acceleration Method for Weighted Diamond-Differencing Schemes in Cartesian Geometries

Y. Y. Azmy, Edward W. Larsen

Nuclear Science and Engineering / Volume 95 / Number 2 / February 1987 / Pages 106-115

Technical Paper / dx.doi.org/10.13182/NSE87-A20421

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The diffusion synthetic acceleration 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.