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Stable schemes for second-moment turbulent models for incompressible flows
Martin Ferrand1  ; Jean-Marc Hérard1, 2  ; Thomas Norddine1  ; Simon Ruget3
1 CEREA, EDF R&D, École des Ponts, Chatou, France
2 I2M, Marseille, France
3 École des Ponts, Champs-sur-Marne, France
Comptes Rendus. Mécanique, Volume 351 (2023), pp. 337-353.

A stable scheme is proposed in this paper in order to obtain approximate solutions of second-moment turbulent models for incompressible flows with or without thermal transport equation. The analysis of the convective terms, which includes the solution of the associated Riemann problem, enables to propose a standard projection scheme, and to get rid of spurious oscillations.

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DOI : 10.5802/crmeca.202
Mots clés : second-moment turbulent closure, incompressible turbulent flows, hyperbolic systems, Riemann problem, numerical scheme
Martin Ferrand 1 ; Jean-Marc Hérard 1, 2 ; Thomas Norddine 1 ; Simon Ruget 3

1 CEREA, EDF R&D, École des Ponts, Chatou, France
2 I2M, Marseille, France
3 École des Ponts, Champs-sur-Marne, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     journal = {Comptes Rendus. M\'ecanique},
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Martin Ferrand; Jean-Marc Hérard; Thomas Norddine; Simon Ruget. Stable schemes for second-moment turbulent models for incompressible flows. Comptes Rendus. Mécanique, Volume 351 (2023), pp. 337-353. doi : 10.5802/crmeca.202. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.202/

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