An S2 Synthetic Acceleration Scheme for the One-Dimensional Sn Equations with Linear Discontinuous Spatial Differencing

Leonard J. Lorence, Jr.; J. E. Morel; Edward W. Larsen

doi:dx.doi.org/10.13182/NSE89-A23623

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 101 / Number 4

An S₂ Synthetic Acceleration Scheme for the One-Dimensional S_n Equations with Linear Discontinuous Spatial Differencing

Leonard J. Lorence, Jr., J. E. Morel, Edward W. Larsen

Nuclear Science and Engineering / Volume 101 / Number 4 / April 1989 / Pages 341-351

Technical Paper / dx.doi.org/10.13182/NSE89-A23623

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An S₂ synthetic acceleration scheme is developed for the one-dimensional S_n equations (slab and sphere) with linear discontinuous spatial differencing. A Fourier analysis shows that the scheme is unconditionally stable for a model problem. Computational results demonstrate the effectiveness of the technique for varying cell thickness and scattering anisotropy.