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The self-adjoint angular flux and streamline-upwind Petrov-Galerkin transportequations are discretized using reproducing kernels with the collocation methodto produce a discretization that is compatible with conservative reproducingkernel smoothed particle hydrodynamics. A novel second derivative is derivedfor the diffusion-like term in the self-adjoint angular flux equation. Theresulting equations involve only evaluations of kernels and physical data atthe nodal centers.

CRKSPH-compatible discretization of the SUPG and SAAF transport equations