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Diffusion-Accelerated Solution of the Two-Dimensional Sn Equations with Bilinear-Discontinuous Differencing

J. E. Morel, J. E. Dendy, Jr., T. A. Wareing

Nuclear Science and Engineering / Volume 115 / Number 4 / December 1993 / Pages 304-319

Technical Paper / dx.doi.org/10.13182/NSE93-A24061

A new diffusion synthetic acceleration scheme is developed for solving the two-dimensional Sn equations in x-y geometry with bilinear-discontinuous finite element spatial discretization. This method differs from previous methods in that it is unconditionally efficient for problems with isotropic or weakly anisotropic scattering. Computational results are given that demonstrate this property.