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    Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall

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    Type
    Article
    Authors
    Chang, Kyungsik
    Hughes, Thomas Jr R
    Calo, Victor M. cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Numerical Porous Media SRI Center (NumPor)
    Physical Science and Engineering (PSE) Division
    Date
    2012-09
    Permanent link to this record
    http://hdl.handle.net/10754/562301
    
    Metadata
    Show full item record
    Abstract
    We report on the isogeometric residual-based variational multiscale (VMS) large eddy simulation of a fully developed turbulent flow over a wavy wall. To assess the predictive capability of the VMS modeling framework, we compare its predictions against the results from direct numerical simulation (DNS) and large eddy simulation (LES) and, when available, against experimental measurements. We use C 1 quadratic B-spline basis functions to represent the smooth geometry of the sinusoidal lower wall and the solution variables. The Reynolds numbers of the flows considered are 6760 and 30,000 based on the bulk velocity and average channel height. The ratio of amplitude to wavelength (α/λ) of the sinusoidal wavy surface is set to 0.05. The computational domain is 2λ×1.05λ×λ in the streamwise, wall-normal and spanwise directions, respectively. For the Re=6760 case, mean averaged quantities, including velocity and pressure profiles, and the separation/reattachment points in the recirculation region, are compared with DNS and experimental data. The turbulent kinetic energy and Reynolds stress are in good agreement with benchmark data. Coherent structures over the wavy wall are observed in isosurfaces of the Q-criterion and show similar features to those previously reported in the literature. Comparable accuracy to DNS solutions is obtained with at least one order of magnitude fewer degrees of freedom. For the Re=30,000 case, good agreement was obtained for mean wall shear stress and velocity profiles compared with available LES results reported in the literature. © 2012 Elsevier Ltd.
    Citation
    Chang, K., Hughes, T. J. R., & Calo, V. M. (2012). Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall. Computers & Fluids, 68, 94–104. doi:10.1016/j.compfluid.2012.06.009
    Sponsors
    This research was supported by the WCU (World Class University) project through the National Research Foundation (R33-10150) and by the Mid-career Researcher Program, NRF Grant (2011-0027557), funded by the Korean Government (MEST). T.J.R. Hughes was partially supported by the Office of Naval Research under Contract No. N00014-08-0992, and SINTEF under Contract No. UTA10-000374.
    Publisher
    Elsevier BV
    Journal
    Computers & Fluids
    DOI
    10.1016/j.compfluid.2012.06.009
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.compfluid.2012.06.009
    Scopus Count
    Collections
    Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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