Radiative hydrodynamic equations with nonequilibrium radiative transfer
Abstract
This paper presents a kinetic model for the coupled evolution of radiation, electrons, and ions in a radiation plasma system. The model is solved using two methods. The gas-kinetic scheme (GKS) for electron and ion hydrodynamics and the unified gas-kinetic scheme (UGKS) for non-equilibrium radiative transfer. The UGKS accurately captures multiscale photon transport from free streaming to diffusion across varying fluid opacities. This approach enables the scheme to model equilibrium plasma with non-equilibrium radiation transport. The model is validated through several test cases, including radiative transfer in kinetic and diffusion regimes, Marshak wave, Radiative shock, 3T(three-temperature) double lax shock tube problem, two-dimensional Sedov blast wave, and two-dimensional tophat based problem. These tests demonstrate the current scheme's capability to handle diverse radiation plasma scenarios.
Cite
@article{arxiv.2409.01827,
title = {Radiative hydrodynamic equations with nonequilibrium radiative transfer},
author = {Mingyu Quan and Xiaojian Yang and Yufeng Wei and Kun Xu},
journal= {arXiv preprint arXiv:2409.01827},
year = {2025}
}