# High-order gas-kinetic scheme for radiation hydrodynamics in equilibrium-diffusion limit

@article{Yang2021HighorderGS, title={High-order gas-kinetic scheme for radiation hydrodynamics in equilibrium-diffusion limit}, author={Yaqing Yang and Liang Pan and Wenjun Sun}, journal={ArXiv}, year={2021}, volume={abs/2110.06557} }

In this paper, a high-order gas-kinetic scheme is developed for the equation of radiation hydrodynamics in equilibrium-diffusion limit which describes the interaction between matter and radiation. To recover RHE, the Bhatnagar-Gross-Krook (BGK) model with modified equilibrium state is considered. In the equilibrium-diffusion limit, the time scales of radiation diffusion and hydrodynamic part are different, and it will make the time step very small for the fully explicit scheme. An implicit…

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SHOWING 1-10 OF 29 REFERENCES

High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit

- PhysicsJ. Comput. Phys.
- 2020

An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits

- Physics
- 2017

This paper is about the construction of a unified gas-kinetic scheme (UGKS) for a coupled system of radiative transport and material heat conduction with different diffusive limits. Different from…

Multiscale Simulation for the System of Radiation Hydrodynamics

- PhysicsJ. Sci. Comput.
- 2020

The system couples the fluid dynamic equations with the radiative heat transfer and has the asymptotic preserving property, such as recovering the equilibrium diffusion limit for the radiation hydrodynamic system in the optically thick region, where the cell size is not limited by photon’s mean free path.

On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: low-energy-density regime

- Physics
- 2001

Abstract We compare the accuracy of three, mixed explicit–implicit schemes for simulating nonrelativistic, radiative hydrodynamic phenomena in the equilibrium diffusion limit. Only the…

A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method

- Physics
- 2001

Abstract This paper presents an improved gas-kinetic scheme based on the Bhatnagar–Gross–Krook (BGK) model for the compressible Navier–Stokes equations. The current method extends the previous…

Second-order discretization in space and time for radiation-hydrodynamics

- PhysicsJ. Comput. Phys.
- 2017

An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations

- PhysicsJ. Comput. Phys.
- 2015

A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations

- PhysicsJ. Comput. Phys.
- 2018

Numerical Simulations for Radiation Hydrodynamics. I. Diffusion Limit

- Physics
- 1998

A second order accurate finite difference scheme is proposed for multidimensional radiation hydrodynamical equations in a diffusion limit. The radiation hydrodynamical equations in the limit…