An IMEX Method for 2-D Radiation Hydrodynamics

doi:10.19596/j.cnki.1001-246x.8312

Abstract

Abstract:

We study a finite volume solver for radiation hydrodynamical models in two space dimensions. For nonlinearity of radiation pressure and radiation energy, it is not a trivial task to develop a numerical scheme for radiation hydrodynamics compared to Euler equations. The current strategy is that the convective part is solved by MUSCL-Hancock schemes, while the diffusive part is handled through an alternative form of TR/BDF2 (trapezoidal rule with second order backward difference formula) method. An asymptotic analysis for the grey nonequilibrium diffusion model in time is presented. Numerical experiments are given to show performance of the IMEX scheme.

Key words: radiation hydrodynamics, Godunov-type scheme, MUSCL Hancock, two space dimensions

CLC Number:

O241.82

Yaoli FANG, Yi WANG. An IMEX Method for 2-D Radiation Hydrodynamics[J]. Chinese Journal of Computational Physics, 2021, 38(4): 401-417.

Figures/Tables 13

References 21

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N	L²-error	L²-order
20	0.003 157 7
40	0.000 602 5	2.38
80	0.000 134 1	2.16
160	0.000 032 2	2.05
320	0.000 007 1	2.17

N	L²-error	L²-order
20	0.003 157 7
40	0.000 602 5	2.38
80	0.000 134 1	2.16
160	0.000 032 2	2.05
320	0.000 007 1	2.17

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