Integral wall model for large eddy simulations of wall-bounded turbulent flows

Xiang Yang, J. Sadique, R. Mittal, C. Meneveau

    Research output: Contribution to journalArticle

    58 Citations (Scopus)

    Abstract

    A new approach for wall modeling in Large-Eddy-Simulations (LES) is proposed and tested in various applications. To properly include near-wall physics while preserving the basic economy of equilibrium-type wall models, we adopt the classical integral method of von Karman and Pohlhausen (VKP). A velocity profile with various parameters is proposed as an alternative to numerical integration of the boundary layer equations in the near-wall zone. The profile contains a viscous or roughness sublayer and a logarithmic layer with an additional linear term that can account for inertial and pressure gradient effects. Similar to the VKP method, the assumed velocity profile coefficients are determined from appropriate matching conditions and physical constraints. The proposed integral wall-modeled LES (iWMLES) method is tested in the context of a pseudo-spectral code for fully developed channel flow with a dynamic Lagrangian subgrid model as well as in a finite-difference LES code including the immersed boundary method and the dynamic Vreman eddy-viscosity model. Test cases include a fully developed half-channel at various Reynolds numbers, a fully developed channel flow with unresolved roughness, a standard developing turbulent boundary layer flows over smooth plates at various Reynolds numbers, over plates with unresolved roughness, and a case with resolved roughness elements consisting of an array of wall-mounted cubes. The comparisons with data show that the proposed iWMLES method provides accurate predictions of near-wall velocity profiles in LES while, similarly to equilibrium wall models, its cost remains independent of Reynolds number and is thus significantly lower compared to existing zonal or hybrid wall models. A sample application to flow over a surface with truncated cones (representing idealized barnacle-like roughness elements) is also presented, which illustrates effects of subgrid scale roughness when combined with resolved roughness elements.

    Original languageEnglish (US)
    Article number025112
    JournalPhysics of Fluids
    Volume27
    Issue number2
    DOIs
    StatePublished - Feb 19 2015

    Fingerprint

    large eddy simulation
    turbulent flow
    roughness
    Reynolds number
    velocity distribution
    channel flow
    Pohlhausen method
    boundary layer equations
    eddy viscosity
    boundary layer flow
    turbulent boundary layer
    economy
    numerical integration
    pressure gradients
    preserving
    cones
    costs
    gradients
    physics

    All Science Journal Classification (ASJC) codes

    • Condensed Matter Physics

    Cite this

    Yang, Xiang ; Sadique, J. ; Mittal, R. ; Meneveau, C. / Integral wall model for large eddy simulations of wall-bounded turbulent flows. In: Physics of Fluids. 2015 ; Vol. 27, No. 2.
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    Integral wall model for large eddy simulations of wall-bounded turbulent flows. / Yang, Xiang; Sadique, J.; Mittal, R.; Meneveau, C.

    In: Physics of Fluids, Vol. 27, No. 2, 025112, 19.02.2015.

    Research output: Contribution to journalArticle

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