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Unconditionally Stable Diffusion-Synthetic Acceleration Methods for the Slab Geometry Discrete Ordinates Equations. Part II: Numerical Results

Donald R. McCoy, Edward W. Larsen

Nuclear Science and Engineering / Volume 82 / Number 1 / September 1982 / Pages 64-70

Technical Paper / dx.doi.org/10.13182/NSE82-2

Diffusion-synthetic acceleration methods that have been proven analytically to be stable for model discrete ordinates problems (for infinite media, with isotropic scattering, constant cross sections, and a uniform spatial mesh) are shown to be experimentally stable for realistic problems (for finite media, with anisotropic scattering, variable cross sections, and a nonuniform spatial mesh). Also, the effect of negative flux fixups on the acceleration methods is discussed.