Radiative hydrodynamic equations with nonequilibrium radiative transfer

TL;DR

This paper introduces a kinetic model for radiation plasma systems that accurately captures multiscale radiative transfer and is validated through diverse test cases, advancing simulation capabilities in non-equilibrium radiation hydrodynamics.

Contribution

It presents a coupled kinetic model with innovative numerical schemes (GKS and UGKS) for non-equilibrium radiative transfer in plasma, enabling multiscale simulations.

Findings

Accurately models photon transport from free streaming to diffusion.

Successfully simulates diverse radiation plasma scenarios.

Validates the scheme with multiple benchmark tests.

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.