A rigorous model reduction for the anisotropic-scattering transport process
Mathematical Physics
2023-09-22 v1 math.MP
Abstract
In this letter, we propose a reduced-order model to bridge the particle transport mechanics and the macroscopic fluid dynamics in the highly scattered regime. A rigorous mathematical derivation and a concise physical interpretation are presented for an anisotropic-scattering transport process with arbitrary order of scattering kernel. The prediction of the theoretical model perfectly agrees with the numerical experiments. A clear picture of the diffusion physics is revealed for the neutral particle transport in the asymptotic optically thick regime.
Cite
@article{arxiv.2309.12296,
title = {A rigorous model reduction for the anisotropic-scattering transport process},
author = {Yuan Hu and Chang Liu and Huayun Shen},
journal= {arXiv preprint arXiv:2309.12296},
year = {2023}
}