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Reactivity Perturbation Formulation for a Discontinuous Galerkin-Based Transport Solver and Its Use with Adaptive Mesh Refinement

R. Le Tellier, D. Fournier, C. Suteau

Nuclear Science and Engineering / Volume 167 / Number 3 / March 2011 / Pages 209-220

Technical Paper /

Within the framework of a Discontinuous Galerkin spatial approximation of the multigroup discrete ordinates transport equation, we present a generalization of the exact standard perturbation formula that takes into account spatial discretization-induced reactivity changes. It encompasses in two separate contributions the nuclear data-induced reactivity change and the reactivity modification induced by two different spatial discretizations. The two potential uses of such a formulation when considering adaptive mesh refinement are discussed, and numerical results on a simple two-group Cartesian two-dimensional benchmark are provided. In particular, such a formulation is shown to be useful to filter out a more accurate estimate of nuclear data-related reactivity effects from initial and perturbed calculations based on independent adaptation processes.

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