Subgrid-modelling in LES of Compressible Flow

A.W. Vreman, B.J. Geurts, J.G.M. Kuerten

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    Abstract

    Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.
    Original languageEnglish
    Title of host publicationDirect and Large-Eddy Simulation I
    Subtitle of host publicationSelected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation
    EditorsPeter R. Voke, Leonhard Kleiser, Jean-Pierre Chollet
    Place of PublicationDordrecht
    PublisherKluwer Academic Publishers
    Pages133-144
    Number of pages12
    ISBN (Electronic)978-94-011-1000-6
    ISBN (Print)978-94-010-4434-9
    DOIs
    Publication statusPublished - 13 Feb 1994
    Event1st ERCOFTAC Workshop on Direct and Large-Eddy Simulation I 1994 - The University of Surrey, Guildford, United Kingdom
    Duration: 27 Mar 199430 Mar 1994
    Conference number: 1

    Publication series

    NameFluid Mechanics and Its Applications
    PublisherKluwer Academic
    Volume26
    ISSN (Print)0926-5112

    Workshop

    Workshop1st ERCOFTAC Workshop on Direct and Large-Eddy Simulation I 1994
    CountryUnited Kingdom
    CityGuildford
    Period27/03/9430/03/94

    Fingerprint

    compressible flow
    large eddy simulation
    dissipation
    Mach number
    stress tensors
    turbulent flow
    energy
    estimates

    Keywords

    • Mach number
    • Large eddy simulation
    • Compressible flow
    • Turbulent stress
    • Turbulent dissipation rate

    Cite this

    Vreman, A. W., Geurts, B. J., & Kuerten, J. G. M. (1994). Subgrid-modelling in LES of Compressible Flow. In P. R. Voke, L. Kleiser, & J-P. Chollet (Eds.), Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation (pp. 133-144). (Fluid Mechanics and Its Applications; Vol. 26). Dordrecht: Kluwer Academic Publishers. https://doi.org/10.1007/978-94-011-1000-6_12
    Vreman, A.W. ; Geurts, B.J. ; Kuerten, J.G.M. / Subgrid-modelling in LES of Compressible Flow. Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. editor / Peter R. Voke ; Leonhard Kleiser ; Jean-Pierre Chollet. Dordrecht : Kluwer Academic Publishers, 1994. pp. 133-144 (Fluid Mechanics and Its Applications).
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    title = "Subgrid-modelling in LES of Compressible Flow",
    abstract = "Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.",
    keywords = "Mach number, Large eddy simulation, Compressible flow, Turbulent stress, Turbulent dissipation rate",
    author = "A.W. Vreman and B.J. Geurts and J.G.M. Kuerten",
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    Vreman, AW, Geurts, BJ & Kuerten, JGM 1994, Subgrid-modelling in LES of Compressible Flow. in PR Voke, L Kleiser & J-P Chollet (eds), Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. Fluid Mechanics and Its Applications, vol. 26, Kluwer Academic Publishers, Dordrecht, pp. 133-144, 1st ERCOFTAC Workshop on Direct and Large-Eddy Simulation I 1994, Guildford, United Kingdom, 27/03/94. https://doi.org/10.1007/978-94-011-1000-6_12

    Subgrid-modelling in LES of Compressible Flow. / Vreman, A.W.; Geurts, B.J.; Kuerten, J.G.M.

    Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. ed. / Peter R. Voke; Leonhard Kleiser; Jean-Pierre Chollet. Dordrecht : Kluwer Academic Publishers, 1994. p. 133-144 (Fluid Mechanics and Its Applications; Vol. 26).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    TY - GEN

    T1 - Subgrid-modelling in LES of Compressible Flow

    AU - Vreman, A.W.

    AU - Geurts, B.J.

    AU - Kuerten, J.G.M.

    PY - 1994/2/13

    Y1 - 1994/2/13

    N2 - Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.

    AB - Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.

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    KW - Large eddy simulation

    KW - Compressible flow

    KW - Turbulent stress

    KW - Turbulent dissipation rate

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    SN - 978-94-010-4434-9

    T3 - Fluid Mechanics and Its Applications

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    BT - Direct and Large-Eddy Simulation I

    A2 - Voke, Peter R.

    A2 - Kleiser, Leonhard

    A2 - Chollet, Jean-Pierre

    PB - Kluwer Academic Publishers

    CY - Dordrecht

    ER -

    Vreman AW, Geurts BJ, Kuerten JGM. Subgrid-modelling in LES of Compressible Flow. In Voke PR, Kleiser L, Chollet J-P, editors, Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. Dordrecht: Kluwer Academic Publishers. 1994. p. 133-144. (Fluid Mechanics and Its Applications). https://doi.org/10.1007/978-94-011-1000-6_12