CRKSPH-compatible discretization of the SUPG and SAAF transport equations

Abstract

The self-adjoint angular flux and streamline-upwind Petrov-Galerkin transport equations are discretized using reproducing kernels with the collocation method to produce a discretization that is compatible with conservative reproducing kernel smoothed particle hydrodynamics. A novel second derivative is derived for the diffusion-like term in the self-adjoint angular flux equation. The resulting equations involve only evaluations of kernels and physical data at the nodal centers.

arXiv commentSubmitted to the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C) 2021

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