2021/04/16 by Brody R. Bassett, Bassett, Brody R., J. Michael Owen +1
Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Nuclear reactor physics and engineering #Spacecraft and Cryogenic Technologies #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.2104.07832
Submitted to the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C) 2021
arxiv created 2021/04/16 · openalex publication_date 2021/04/16 · arxiv updated 2021/04/19 · openalex created_date 2021/04/26 · openalex updated_date 2026/07/28
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.