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arXiv · 2104.07832

CRKSPH-compatible discretization of the SUPG and SAAF transport equations

Brody R. Bassett·J. Michael Owen
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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.

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Brody R. Bassett, J. Michael Owen. 2021-04-16. CRKSPH-compatible discretization of the SUPG and SAAF transport equations. https://arxiv.org/abs/2104.07832

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