Numerical and experimental investigation of structure-function scaling in turbulent Rayleigh-Bénard convection

R.P.J. Kunnen, H.J.H. Clercx, B.J. Geurts, L.J.A. van Bokhoven, R.A.D. Akkermans, R. Verzicco

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    Abstract

    Direct numerical simulation and stereoscopic particle image velocimetry of turbulent convection are used to gather spatial data for the calculation of structure functions. We wish to add to the ongoing discussion in the literature whether temperature acts as an active or passive scalar in turbulent convection, with consequences for structure-function scaling. The simulation results show direct confirmation of the scalings derived by Bolgiano and Obukhov for turbulence with an active scalar for both velocity and temperature statistics. The active-scalar range shifts to larger scales when the forcing parameter Rayleigh number is increased. Furthermore, a close inspection of local turbulent length scales Kolmogorov and Bolgiano lengths confirms conjectures from earlier studies that the oft-used global averages are not suited for the interpretation of structure functions. In the experiment, a characterization of the domain-filling large-scale circulation of confined convection is carried out for comparison with other studies. The measured velocity fields are also used to calculate velocity structure functions, further confirming the Bolgiano-Obukhov scalings when interpreted with the local turbulent length scales found in the simulations. An extended self-similarity analysis shows that the relative scalings are different for the Kolmogorov and Bolgiano-Obukhov regimes.
    Original languageEnglish
    Article number016302
    Number of pages13
    JournalPhysical review E: Statistical, nonlinear, and soft matter physics
    Volume77
    Issue number01
    DOIs
    Publication statusPublished - 8 Jan 2008

    Fingerprint

    Structure-function
    Numerical Investigation
    Experimental Investigation
    Rayleigh
    Convection
    convection
    Scaling
    scaling
    scalars
    Length Scale
    Scalar
    Passive Scalar
    Rayleigh number
    Self-similarity
    Spatial Data
    particle image velocimetry
    direct numerical simulation
    Velocity Field
    Forcing
    Inspection

    Keywords

    • METIS-250867
    • EWI-11798
    • IR-59975

    Cite this

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    title = "Numerical and experimental investigation of structure-function scaling in turbulent Rayleigh-B{\'e}nard convection",
    abstract = "Direct numerical simulation and stereoscopic particle image velocimetry of turbulent convection are used to gather spatial data for the calculation of structure functions. We wish to add to the ongoing discussion in the literature whether temperature acts as an active or passive scalar in turbulent convection, with consequences for structure-function scaling. The simulation results show direct confirmation of the scalings derived by Bolgiano and Obukhov for turbulence with an active scalar for both velocity and temperature statistics. The active-scalar range shifts to larger scales when the forcing parameter Rayleigh number is increased. Furthermore, a close inspection of local turbulent length scales Kolmogorov and Bolgiano lengths confirms conjectures from earlier studies that the oft-used global averages are not suited for the interpretation of structure functions. In the experiment, a characterization of the domain-filling large-scale circulation of confined convection is carried out for comparison with other studies. The measured velocity fields are also used to calculate velocity structure functions, further confirming the Bolgiano-Obukhov scalings when interpreted with the local turbulent length scales found in the simulations. An extended self-similarity analysis shows that the relative scalings are different for the Kolmogorov and Bolgiano-Obukhov regimes.",
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    note = "10.1103/PhysRevE.77.016302",
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    Numerical and experimental investigation of structure-function scaling in turbulent Rayleigh-Bénard convection. / Kunnen, R.P.J.; Clercx, H.J.H.; Geurts, B.J.; van Bokhoven, L.J.A.; Akkermans, R.A.D.; Verzicco, R.

    In: Physical review E: Statistical, nonlinear, and soft matter physics, Vol. 77, No. 01, 016302, 08.01.2008.

    Research output: Contribution to journalArticleAcademicpeer-review

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    T1 - Numerical and experimental investigation of structure-function scaling in turbulent Rayleigh-Bénard convection

    AU - Kunnen, R.P.J.

    AU - Clercx, H.J.H.

    AU - Geurts, B.J.

    AU - van Bokhoven, L.J.A.

    AU - Akkermans, R.A.D.

    AU - Verzicco, R.

    N1 - 10.1103/PhysRevE.77.016302

    PY - 2008/1/8

    Y1 - 2008/1/8

    N2 - Direct numerical simulation and stereoscopic particle image velocimetry of turbulent convection are used to gather spatial data for the calculation of structure functions. We wish to add to the ongoing discussion in the literature whether temperature acts as an active or passive scalar in turbulent convection, with consequences for structure-function scaling. The simulation results show direct confirmation of the scalings derived by Bolgiano and Obukhov for turbulence with an active scalar for both velocity and temperature statistics. The active-scalar range shifts to larger scales when the forcing parameter Rayleigh number is increased. Furthermore, a close inspection of local turbulent length scales Kolmogorov and Bolgiano lengths confirms conjectures from earlier studies that the oft-used global averages are not suited for the interpretation of structure functions. In the experiment, a characterization of the domain-filling large-scale circulation of confined convection is carried out for comparison with other studies. The measured velocity fields are also used to calculate velocity structure functions, further confirming the Bolgiano-Obukhov scalings when interpreted with the local turbulent length scales found in the simulations. An extended self-similarity analysis shows that the relative scalings are different for the Kolmogorov and Bolgiano-Obukhov regimes.

    AB - Direct numerical simulation and stereoscopic particle image velocimetry of turbulent convection are used to gather spatial data for the calculation of structure functions. We wish to add to the ongoing discussion in the literature whether temperature acts as an active or passive scalar in turbulent convection, with consequences for structure-function scaling. The simulation results show direct confirmation of the scalings derived by Bolgiano and Obukhov for turbulence with an active scalar for both velocity and temperature statistics. The active-scalar range shifts to larger scales when the forcing parameter Rayleigh number is increased. Furthermore, a close inspection of local turbulent length scales Kolmogorov and Bolgiano lengths confirms conjectures from earlier studies that the oft-used global averages are not suited for the interpretation of structure functions. In the experiment, a characterization of the domain-filling large-scale circulation of confined convection is carried out for comparison with other studies. The measured velocity fields are also used to calculate velocity structure functions, further confirming the Bolgiano-Obukhov scalings when interpreted with the local turbulent length scales found in the simulations. An extended self-similarity analysis shows that the relative scalings are different for the Kolmogorov and Bolgiano-Obukhov regimes.

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