Global solar compressible convection simulations on non-Cartesian mappings
Abstract
Context. Modeling the global dynamics of the Sun requires numerical frameworks capable of simulating the highly turbulent convective envelope and its coupling with the stable radiative interior. Simulating such spherical domains in standard cartesian finite-volume codes presents significant topological challenges. Aims. The goal is to extend the cartesian Adaptive Mesh Refinement (AMR) framework Dyablo to non-cartesian geometries in order to perform global solar convection simulations that extend all the way down to the stellar core. Methods. We introduced a mapped grid approach within the Dyablo framework to build Dyablo Whole Sun (DWS) code. We implemented an α−β well-balanced scheme to preserve hydrostatic equilibrium. Furthermore, we present a robust methodology to generate fully integrated solar background profiles from r=0 to the surface. Results. We validated the implementation using standard hydrodynamic tests and ran high-resolution 2D global solar convection simulations on a disk grid. Conclusions. Our models successfully capture the turbulent convective broad slow upflows and narrow fast downflows and the excitation of acoustic waves and p modes. The interaction of strong downflowing plumes with the top of the radiative zone, successfully excites internal gravity waves in the radiative interior.
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BibTeX
@misc{doebele2026global,
title = {{Global solar compressible convection simulations on non-Cartesian mappings}},
author = {Grégoire Doebele and Allan Sacha Brun and Maxime Delorme},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04629},
eprint = {2610.04629},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04629},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Global solar compressible convection simulations on non-Cartesian mappings
AU - Grégoire Doebele
AU - Allan Sacha Brun
AU - Maxime Delorme
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2610.04629
UR - https://arxiv.org/abs/2610.04629
AB - Context. Modeling the global dynamics of the Sun requires numerical frameworks capable of simulating the highly turbulent convective envelope and its coupling with the stable radiative interior. Simulating such spherical domains in standard cartesian finite-volume codes presents significant topological challenges. Aims. The goal is to extend the cartesian Adaptive Mesh Refinement (AMR) framework Dyablo to non-cartesian geometries in order to perform global solar convection simulations that extend all the way down to the stellar core. Methods. We introduced a mapped grid approach within the Dyablo framework to build Dyablo Whole Sun (DWS) code. We implemented an α−β well-balanced scheme to preserve hydrostatic equilibrium. Furthermore, we present a robust methodology to generate fully integrated solar background profiles from r=0 to the surface. Results. We validated the implementation using standard hydrodynamic tests and ran high-resolution 2D global solar convection simulations on a disk grid. Conclusions. Our models successfully capture the turbulent convective broad slow upflows and narrow fast downflows and the excitation of acoustic waves and p modes. The interaction of strong downflowing plumes with the top of the radiative zone, successfully excites internal gravity waves in the radiative interior.
ER -