A Jacobian-free Newton-Krylov method for time-implicit multidimensional hydrodynamics: Physics-based preconditioning for sound waves and thermal diffusion

This work is a continuation of our efforts to develop an efficient implicit solver for multidimensional hydrodynamics for the purpose of studying important physical processes in stellar interiors, such as turbulent convection and overshooting. We present an implicit solver that results from the comb...

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Bibliographic Details
Published in:Astronomy and astrophysics (Berlin) 2016-02, Vol.586, p.A153
Main Authors: Viallet, M, Goffrey, T, Baraffe, I, Folini, D, Geroux, C, Popov, M V, Pratt, J, Walder, R
Format: Article
Language:English
Subjects:
Astrophysics
Computational fluid dynamics
Fluid flow
Hydrodynamics
Preconditioning
Sciences of the Universe
Solvers
Stellar interiors
Turbulence
Turbulent flow
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Summary:This work is a continuation of our efforts to develop an efficient implicit solver for multidimensional hydrodynamics for the purpose of studying important physical processes in stellar interiors, such as turbulent convection and overshooting. We present an implicit solver that results from the combination of a Jacobian-free Newton-Krylov method and a preconditioning technique tailored to the inviscid, compressible equations of stellar hydrodynamics. We assess the accuracy and performance of the solver for both 2D and 3D problems for Mach numbers down to 10 super(-6). Although our applications concern flows in stellar interiors, the method can be applied to general advection and/or diffusion-dominated flows. The method presented in this paper opens up new avenues in 3D modeling of realistic stellar interiors allowing the study of important problems in stellar structure and evolution.
ISSN:0004-6361
1432-0746
1432-0756
DOI:10.1051/0004-6361/201527339