Accuracy of the linear discontinuous Galerkin method for 3D reactor analysis with resolved fuel pins
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Copyright (2015) by the American Nuclear Society All rights reserved. Significant literature exists on the accuracy of the Method of Characteristics (MOC) for solving the transport equation for reactors with realistic representations of geometries. The same is not true for Discontinuous Finite Element Methods. We present a resolution study and error analysis detailing how the Linear DFEM (LD) spatial discretization method performs on the well-known three-dimensional C5G7 benchmark problem as a function of spatial and angular resolution, for spatial meshes that conform to the pin geometries. We compare pin powers and -eigenvalues against reference MCNP results, as a function of spatial and angular resolution. We use "product" Gauss-Chebyshev quadrature sets that range from 12 to 32 polar levels and 32 to 192 azimufhal angles. Our x-y spatial resolution ranges from 64 to 576 quadrilateral cells per pincell and our z resolution ranges from 8 to 80 cells. We find that the LD method performs well, with and pin-power results within few percent of reference results.
