Benchmarking the Multi-dimensional Stellar Implicit Code MUSIC
T. Goffrey, J. Pratt, M. Viallet, I. Baraffe, M. V. Popov, R. Walder,, D. Folini, C. Geroux, T. Constantino

TL;DR
This paper benchmarks the MUSIC code, a multi-dimensional stellar hydrodynamics solver, demonstrating its accuracy and flexibility through various complex tests relevant to stellar interiors, and compares it with established codes.
Contribution
It provides a comprehensive benchmark of the MUSIC code against other codes and theoretical expectations for stellar hydrodynamics problems.
Findings
MUSIC accurately reproduces results from established codes.
The code effectively handles complex stellar interior physics.
The preconditioning technique enhances solver performance.
Abstract
We present the results of a numerical benchmark study for the MUlti-dimensional Stellar Implicit Code (MUSIC) based on widely applicable two- and three-dimensional compressible hydrodynamics problems relevant to stellar interiors. MUSIC is an implicit large eddy simulation code that uses implicit time integration, implemented as a Jacobian-free Newton Krylov method. A physics based preconditioning technique which can be adjusted to target varying physics is used to improve the performance of the solver. The problems used for this benchmark study include the Rayleigh-Taylor and Kelvin-Helmholtz instabilities, and the decay of the Taylor-Green vortex. Additionally we show a test of hydrostatic equilibrium, in a stellar environment which is dominated by radiative effects. In this setting the flexibility of the preconditioning technique is demonstrated. This work aims to bridge the gap…
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