Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers

B. Geurts, B. Vreman, H. Kuerten, R. van Buuren

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

    Abstract

    Large-eddy simulation of complex turbulent flows involves the filtering and modelling of small scale flow structures whose intensity shows large spatial variations in the fl.ow domain. This suggests the use of filters with nonuniform filterwidth. Such filters fail to commute with spatial derivatives and give rise to additional 'noncommutation' terms in LES. We construct higher order filters and show that the subgrid terms and the new noncommutation terms are a priori of comparable magnitude. We apply these filters to DNS data of the temporal mixing layer. The magnitude of the noncommutation terms and their contribution to the kinetic energy dynamics is determined. Finally, we show that LES predictions significantly depend on the specific explicit filter used in dynamic subgrid modelling.
    Original languageEnglish
    Title of host publicationDirect and Large-Eddy Simulation II
    Subtitle of host publicationProceedings of the ERCOFTAC Workshop held in Grenoble, France, 16–19 September 1996
    EditorsJean-Pierre Chollet, Peter R. Voke, Leonhard Kleiser
    Place of PublicationDordrecht
    PublisherKluwer Academic Services
    Pages47-56
    Number of pages10
    ISBN (Electronic)978-94-011-5624-0
    ISBN (Print)978-94-010-6370-8
    DOIs
    Publication statusPublished - 1997
    Event2nd ERCOFTAC Workshop on Direct and Large-Eddy Simulation II 1996 - Grenoble, France
    Duration: 16 Sep 199619 Sep 1996
    Conference number: 2

    Publication series

    NameERCOFTAC Series
    PublisherSpringer
    Volume5
    ISSN (Print)1382-4309

    Conference

    Conference2nd ERCOFTAC Workshop on Direct and Large-Eddy Simulation II 1996
    CountryFrance
    CityGrenoble
    Period16/09/9619/09/96

    Fingerprint

    compressible flow
    turbulent flow
    filter
    modeling
    large eddy simulation
    flow structure
    kinetic energy
    spatial variation
    prediction

    Keywords

    • Large eddy simulation
    • Order filter
    • Direct numerical simulation data
    • High order filter
    • Complex turbulent flow

    Cite this

    Geurts, B., Vreman, B., Kuerten, H., & van Buuren, R. (1997). Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers. In J-P. Chollet, P. R. Voke, & L. Kleiser (Eds.), Direct and Large-Eddy Simulation II: Proceedings of the ERCOFTAC Workshop held in Grenoble, France, 16–19 September 1996 (pp. 47-56). (ERCOFTAC Series; Vol. 5). Dordrecht: Kluwer Academic Services. https://doi.org/10.1007/978-94-011-5624-0_5
    Geurts, B. ; Vreman, B. ; Kuerten, H. ; van Buuren, R. / Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers. Direct and Large-Eddy Simulation II: Proceedings of the ERCOFTAC Workshop held in Grenoble, France, 16–19 September 1996. editor / Jean-Pierre Chollet ; Peter R. Voke ; Leonhard Kleiser. Dordrecht : Kluwer Academic Services, 1997. pp. 47-56 (ERCOFTAC Series).
    @inbook{e11528b9d0964d5a8af1231dd46229da,
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    abstract = "Large-eddy simulation of complex turbulent flows involves the filtering and modelling of small scale flow structures whose intensity shows large spatial variations in the fl.ow domain. This suggests the use of filters with nonuniform filterwidth. Such filters fail to commute with spatial derivatives and give rise to additional 'noncommutation' terms in LES. We construct higher order filters and show that the subgrid terms and the new noncommutation terms are a priori of comparable magnitude. We apply these filters to DNS data of the temporal mixing layer. The magnitude of the noncommutation terms and their contribution to the kinetic energy dynamics is determined. Finally, we show that LES predictions significantly depend on the specific explicit filter used in dynamic subgrid modelling.",
    keywords = "Large eddy simulation, Order filter, Direct numerical simulation data, High order filter, Complex turbulent flow",
    author = "B. Geurts and B. Vreman and H. Kuerten and {van Buuren}, R.",
    year = "1997",
    doi = "10.1007/978-94-011-5624-0_5",
    language = "English",
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    Geurts, B, Vreman, B, Kuerten, H & van Buuren, R 1997, Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers. in J-P Chollet, PR Voke & L Kleiser (eds), Direct and Large-Eddy Simulation II: Proceedings of the ERCOFTAC Workshop held in Grenoble, France, 16–19 September 1996. ERCOFTAC Series, vol. 5, Kluwer Academic Services, Dordrecht, pp. 47-56, 2nd ERCOFTAC Workshop on Direct and Large-Eddy Simulation II 1996, Grenoble, France, 16/09/96. https://doi.org/10.1007/978-94-011-5624-0_5

    Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers. / Geurts, B.; Vreman, B.; Kuerten, H.; van Buuren, R.

    Direct and Large-Eddy Simulation II: Proceedings of the ERCOFTAC Workshop held in Grenoble, France, 16–19 September 1996. ed. / Jean-Pierre Chollet; Peter R. Voke; Leonhard Kleiser. Dordrecht : Kluwer Academic Services, 1997. p. 47-56 (ERCOFTAC Series; Vol. 5).

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

    TY - CHAP

    T1 - Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers

    AU - Geurts, B.

    AU - Vreman, B.

    AU - Kuerten, H.

    AU - van Buuren, R.

    PY - 1997

    Y1 - 1997

    N2 - Large-eddy simulation of complex turbulent flows involves the filtering and modelling of small scale flow structures whose intensity shows large spatial variations in the fl.ow domain. This suggests the use of filters with nonuniform filterwidth. Such filters fail to commute with spatial derivatives and give rise to additional 'noncommutation' terms in LES. We construct higher order filters and show that the subgrid terms and the new noncommutation terms are a priori of comparable magnitude. We apply these filters to DNS data of the temporal mixing layer. The magnitude of the noncommutation terms and their contribution to the kinetic energy dynamics is determined. Finally, we show that LES predictions significantly depend on the specific explicit filter used in dynamic subgrid modelling.

    AB - Large-eddy simulation of complex turbulent flows involves the filtering and modelling of small scale flow structures whose intensity shows large spatial variations in the fl.ow domain. This suggests the use of filters with nonuniform filterwidth. Such filters fail to commute with spatial derivatives and give rise to additional 'noncommutation' terms in LES. We construct higher order filters and show that the subgrid terms and the new noncommutation terms are a priori of comparable magnitude. We apply these filters to DNS data of the temporal mixing layer. The magnitude of the noncommutation terms and their contribution to the kinetic energy dynamics is determined. Finally, we show that LES predictions significantly depend on the specific explicit filter used in dynamic subgrid modelling.

    KW - Large eddy simulation

    KW - Order filter

    KW - Direct numerical simulation data

    KW - High order filter

    KW - Complex turbulent flow

    U2 - 10.1007/978-94-011-5624-0_5

    DO - 10.1007/978-94-011-5624-0_5

    M3 - Chapter

    SN - 978-94-010-6370-8

    T3 - ERCOFTAC Series

    SP - 47

    EP - 56

    BT - Direct and Large-Eddy Simulation II

    A2 - Chollet, Jean-Pierre

    A2 - Voke, Peter R.

    A2 - Kleiser, Leonhard

    PB - Kluwer Academic Services

    CY - Dordrecht

    ER -

    Geurts B, Vreman B, Kuerten H, van Buuren R. Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers. In Chollet J-P, Voke PR, Kleiser L, editors, Direct and Large-Eddy Simulation II: Proceedings of the ERCOFTAC Workshop held in Grenoble, France, 16–19 September 1996. Dordrecht: Kluwer Academic Services. 1997. p. 47-56. (ERCOFTAC Series). https://doi.org/10.1007/978-94-011-5624-0_5