Comptes Rendus
CFD for turbulence: from fundamentals to geophysics and astrophysics
Comptes Rendus. Mécanique, Online first (2022), pp. 1-20.

Over the years, the combination of computational fluid dynamics (CFD) and theoretical models have critically contributed to improving our understanding of the nature of turbulent flows. In this paper, we review the role of CFD in the study of turbulence through both direct numerical simulations and the resolution of statistical multi-scale theories. With a historical perspective, we will discuss the evolution of the numerical modeling of turbulence from the first numerical experiments as proposed by Orszag and Patterson [1] to complex geophysical and plasma simulations where body forces such as Coriolis, the buoyancy force, or the Lorentz force can introduce strong anisotropies. Looking beyond the horizon, we address the future challenges for CFD and turbulence theorists with the prospect of exascale supercomputing.

Online First:
DOI: 10.5802/crmeca.135
Keywords: Turbulence modeling, Direct numerical simulation, Turbulence theories, Statistical closure approaches, Large eddy simulation, Rotating and unstable stratified flows, Plasma and magnetohydrodynamics (MHD) turbulence

Claude Cambon 1; Alejandro Alvarez Laguna 2; Ye Zhou 3

1 Laboratoire de Mécanique des Fluides et d’Acoustique, Université de Lyon, UMR 5509, Ecole Centrale de Lyon, CNRS, UCBL, INSA F-69134 Ecully, France
2 Laboratoire de Physique des Plasmas (LPP), CNRS, Observatoire de Paris, Sorbonne Université, Université Paris Saclay, Ecole polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France
3 Lawrence Livermore National Laboratory, Livermore, California 94550, USA
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
     author = {Claude Cambon and Alejandro Alvarez Laguna and Ye Zhou},
     title = {CFD for turbulence: from fundamentals to geophysics and astrophysics},
     journal = {Comptes Rendus. M\'ecanique},
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     year = {2022},
     doi = {10.5802/crmeca.135},
     language = {en},
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Claude Cambon; Alejandro Alvarez Laguna; Ye Zhou. CFD for turbulence: from fundamentals to geophysics and astrophysics. Comptes Rendus. Mécanique, Online first (2022), pp. 1-20. doi : 10.5802/crmeca.135.

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