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Volume 13, Issue 2
An Implicit-Explicit Scheme for the Radiation Hydrodynamics

Yaoli Fang

DOI: 10.4208/aamm.OA-2019-0275

Adv. Appl. Math. Mech., 13 (2021), pp. 404-425.

Published online: 2020-12

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  • 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.

  • Keywords

Radiation hydrodynamics, MUSCL Hancock scheme, cell centered finite volume scheme, implicit-explicit scheme, radiative shock.

  • AMS Subject Headings

65M06

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
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 -

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.

Fang , Yaoli. (2020). An Implicit-Explicit Scheme for the Radiation Hydrodynamics. Advances in Applied Mathematics and Mechanics. 13 (2). 404-425. doi:10.4208/aamm.OA-2019-0275
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