CRKSPH-compatible discretization of the SUPG and SAAF transport equations
Computational Physics
2021-04-19 v1
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.
Keywords
Cite
@article{arxiv.2104.07832,
title = {CRKSPH-compatible discretization of the SUPG and SAAF transport equations},
author = {Brody R. Bassett and J. Michael Owen},
journal= {arXiv preprint arXiv:2104.07832},
year = {2021}
}
Comments
Submitted to the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C) 2021