AN S2 SYNTHETIC ACCELERATION SCHEME FOR THE ONE-DIMENSIONAL SN EQUATIONS WITH LINEAR DISCONTINUOUS SPATIAL DIFFERENCING
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abstract
An S2synthetic acceleration scheme is developed for the one-dimensional Snequations (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.