TY - JOUR
T1 - An Implicit-Explicit Scheme for the Radiation Hydrodynamics
AU - Fang , Yaoli
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 404
EP - 425
PY - 2020
DA - 2020/12
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2019-0275
UR - https://global-sci.org/intro/article_detail/aamm/18490.html
KW - Radiation hydrodynamics, MUSCL Hancock scheme, cell centered finite volume scheme, implicit-explicit scheme, radiative shock.
AB - <p style="text-align: justify;">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.</p>