Abstract
We describe the development of a flux-limited gray radiation solver for the compressible astrophysics code, CASTRO. CASTRO uses an Eulerian grid with block-structured adaptive mesh refinement based on a nested hierarchy of logically rectangular variable-sized grids with simultaneous refinement in both space and time. The gray radiation solver is based on a mixed-frame formulation of radiation hydrodynamics. In our approach, the system is split into two parts, one part that couples the radiation and fluid in a hyperbolic subsystem, and another parabolic part that evolves radiation diffusion and source-sink terms. The hyperbolic subsystem is solved explicitly with a high-order Godunov scheme, whereas the parabolic part is solved implicitly with a first-order backward Euler method. © 2011. The American Astronomical Society. All rights reserved.
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Zhang, W., Howell, L., Almgren, A., Burrows, A., & Bell, J. (2011). Castro: A new compressible astrophysical solver. II. Gray radiation hydrodynamics. Astrophysical Journal, Supplement Series, 196(2). https://doi.org/10.1088/0067-0049/196/2/20
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