@Article{AAMM-13-404, author = {Fang , Yaoli}, title = {An Implicit-Explicit Scheme for the Radiation Hydrodynamics}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2020}, volume = {13}, number = {2}, pages = {404--425}, abstract = {

In this paper, we study an implicit-explicit scheme for the radiation hydrodynamics in the equilibrium diffusion limit and in the grey nonequilibrium diffusion limit. We extend a popular Godunov-type method, the MUSCL-Hancock scheme, to the convective part of the radiation hydrodynamics, while a cell centered finite volume scheme is used for the radiative heat transfer. Moreover, the implicit-explicit scheme is easier to implement. Numerical simulations show the character of the radiative shock wave and the accuracy of the scheme.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2019-0275}, url = {http://global-sci.org/intro/article_detail/aamm/18490.html} }