与 CRKSPH 兼容的 SUPG 与 SAAF 输运方程离散化
计算物理
2021-04-19 v1
摘要
采用配点法利用再生核离散自伴角通量（self-adjoint angular flux）与流线迎风 Petrov-Galerkin（streamline-upwind Petrov-Galerkin）输运方程，以产生一种与守恒再生核光滑粒子流体动力学兼容的离散格式。针对自伴角通量方程中的类扩散项推导了一种新颖的二阶导数。所得方程仅涉及在节点中心处对核函数与物理数据的求值。
引用
@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}
}
备注
Submitted to the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C) 2021