Radiation hydrodynamics with Adaptive Mesh Refinement and application to prestellar core collapse. I Methods
Benoit Commercon, Romain Teyssier, Edouard Audit, Patrick Hennebelle,, Gilles Chabrier

TL;DR
This paper introduces a new radiation hydrodynamics solver integrated into the RAMSES code, enabling detailed 3D simulations of prestellar core collapse with adaptive mesh refinement, validated against standard tests and previous studies.
Contribution
The paper presents a novel second-order accurate RHD solver for RAMSES, combining explicit and implicit schemes for improved star formation simulations.
Findings
Successful validation against conventional tests
Accurate 3D collapse simulations of prestellar cores
Compatibility with adaptive mesh refinement
Abstract
Radiative transfer has a strong impact on the collapse and the fragmentation of prestellar dense cores. We present the radiation-hydrodynamics solver we designed for the RAMSES code. The method is designed for astrophysical purposes, and in particular for protostellar collapse. We present the solver, using the co-moving frame to evaluate the radiative quantities. We use the popular flux limited diffusion approximation, under the grey approximation (one group of photon). The solver is based on the second-order Godunov scheme of RAMSES for its hyperbolic part, and on an implicit scheme for the radiation diffusion and the coupling between radiation and matter. We report in details our methodology to integrate the RHD solver into RAMSES. We test successfully the method against several conventional tests. For validation in 3D, we perform calculations of the collapse of an isolated 1 M_sun…
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