A Godunov-type scheme and a relaxation scheme for second-order turbulence-moment models

Nadjib Bennoura Bouchiba; Martin Ferrand; Jean Marc Hérard

doi:10.1051/m2an/2025066

A Godunov-type scheme and a relaxation scheme for second-order turbulence-moment models

Nadjib Bennoura Bouchiba
, Martin Ferrand
, Jean Marc Hérard

Lamsid/EDF/R and D

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

A Godunov-type scheme and a relaxation scheme are presented to approximate the solutions of the convective subsystem arising from the transport equations of a class of second-order turbulence-moment models in the framework of incompressible flows. An analytical representation is proposed for the case of the occurrence of a non-turbulent region. Numerical tests of the two schemes and a comparison with a Rusanov scheme complete the paper.

langue originale	Anglais
Pages (de - à)	2639-2683
Nombre de pages	45
journal	Mathematical Modelling and Numerical Analysis
Volume	59
Numéro de publication	5
Les DOIs	https://doi.org/10.1051/m2an/2025066
état	Publié - 1 sept. 2025
Modification externe	Oui

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10.1051/m2an/2025066

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title = "A Godunov-type scheme and a relaxation scheme for second-order turbulence-moment models",

abstract = "A Godunov-type scheme and a relaxation scheme are presented to approximate the solutions of the convective subsystem arising from the transport equations of a class of second-order turbulence-moment models in the framework of incompressible flows. An analytical representation is proposed for the case of the occurrence of a non-turbulent region. Numerical tests of the two schemes and a comparison with a Rusanov scheme complete the paper.",

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T1 - A Godunov-type scheme and a relaxation scheme for second-order turbulence-moment models

AU - Bouchiba, Nadjib Bennoura

AU - Ferrand, Martin

AU - Hérard, Jean Marc

N1 - Publisher Copyright: © The authors. Published by EDP Sciences, SMAI 2025.

PY - 2025/9/1

Y1 - 2025/9/1

N2 - A Godunov-type scheme and a relaxation scheme are presented to approximate the solutions of the convective subsystem arising from the transport equations of a class of second-order turbulence-moment models in the framework of incompressible flows. An analytical representation is proposed for the case of the occurrence of a non-turbulent region. Numerical tests of the two schemes and a comparison with a Rusanov scheme complete the paper.

AB - A Godunov-type scheme and a relaxation scheme are presented to approximate the solutions of the convective subsystem arising from the transport equations of a class of second-order turbulence-moment models in the framework of incompressible flows. An analytical representation is proposed for the case of the occurrence of a non-turbulent region. Numerical tests of the two schemes and a comparison with a Rusanov scheme complete the paper.

KW - Godunov scheme

KW - Riemann problem

KW - Second-order turbulence-moment models

KW - incompressible flows

KW - laminar/turbulent flows

KW - relaxation scheme

UR - https://www.scopus.com/pages/publications/105016907979

U2 - 10.1051/m2an/2025066

DO - 10.1051/m2an/2025066

M3 - Article

AN - SCOPUS:105016907979

SN - 0764-583X

VL - 59

SP - 2639

EP - 2683

JO - Mathematical Modelling and Numerical Analysis

JF - Mathematical Modelling and Numerical Analysis

IS - 5

ER -

A Godunov-type scheme and a relaxation scheme for second-order turbulence-moment models

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