Stable schemes for second-moment turbulent models for incompressible flows

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 pr...

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Main Authors: Ferrand, Martin, Hérard, Jean-Marc, Norddine, Thomas, Ruget, Simon
Format: Article
Language:English
Published: Académie des sciences 2023-09-01
Series:Comptes Rendus. Mécanique
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Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.202/
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author Ferrand, Martin
Hérard, Jean-Marc
Norddine, Thomas
Ruget, Simon
author_facet Ferrand, Martin
Hérard, Jean-Marc
Norddine, Thomas
Ruget, Simon
author_sort Ferrand, Martin
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1873-7234
language English
publishDate 2023-09-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mécanique
spelling doaj-art-a57c7e08498045cb98bb6414d8eafb152025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-09-01351G233735310.5802/crmeca.20210.5802/crmeca.202Stable schemes for second-moment turbulent models for incompressible flowsFerrand, Martin0https://orcid.org/0000-0002-3995-1503Hérard, Jean-Marc1https://orcid.org/0000-0001-9099-6072Norddine, Thomas2Ruget, Simon3CEREA, EDF R&D, École des Ponts, Chatou, FranceCEREA, EDF R&D, École des Ponts, Chatou, France; I2M, Marseille, FranceCEREA, EDF R&D, École des Ponts, Chatou, FranceÉcole des Ponts, Champs-sur-Marne, FranceA 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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.202/second-moment turbulent closureincompressible turbulent flowshyperbolic systemsRiemann problemnumerical scheme
spellingShingle Ferrand, Martin
Hérard, Jean-Marc
Norddine, Thomas
Ruget, Simon
Stable schemes for second-moment turbulent models for incompressible flows
Comptes Rendus. Mécanique
second-moment turbulent closure
incompressible turbulent flows
hyperbolic systems
Riemann problem
numerical scheme
title Stable schemes for second-moment turbulent models for incompressible flows
title_full Stable schemes for second-moment turbulent models for incompressible flows
title_fullStr Stable schemes for second-moment turbulent models for incompressible flows
title_full_unstemmed Stable schemes for second-moment turbulent models for incompressible flows
title_short Stable schemes for second-moment turbulent models for incompressible flows
title_sort stable schemes for second moment turbulent models for incompressible flows
topic second-moment turbulent closure
incompressible turbulent flows
hyperbolic systems
Riemann problem
numerical scheme
url https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.202/
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AT herardjeanmarc stableschemesforsecondmomentturbulentmodelsforincompressibleflows
AT norddinethomas stableschemesforsecondmomentturbulentmodelsforincompressibleflows
AT rugetsimon stableschemesforsecondmomentturbulentmodelsforincompressibleflows