park_moin14

Summary

An improved dynamic non-equilibrium wall-model for large eddy simulation. G.I. Park and P. Moin. Physics of Fluids, 26(015108), 2014. (URL)

Abstract

A non-equilibrium wall-model based on unsteady 3D Reynolds-averaged Navier-Stokes (RANS) equations has been implemented in an unstructured mesh environment. The method is similar to that of the wall-model for structured mesh described by Wang and Moin [Phys. Fluids, 14, 2043-2051 (2002)], but is supplemented by a new dynamic eddy viscosity/conductivity model that corrects the effect of the resolved Reynolds stress (resolved turbulent heat flux) on the skin friction (wall heat flux). This correction is crucial in predicting the correct level of the skin friction. Unlike earlier models, this eddy viscosity/conductivity model does not have a stress-matching procedure or a tunable free parameter, and it shows consistent performance over a wide range of Reynolds numbers. The wall-model is validated against canonical (attached) transitional and fully turbulent flows at moderate to very high Reynolds numbers: a turbulent channel flow at Re_tau = 2000, an H-type transitional boundary layer up to Re_theta = 3300, and a high Reynolds number boundary layer at Re_theta = 31 000. Application to a separated flow over a NACA4412 airfoil operating close to maximum lift is also considered to test the performance of the wall-model in complex non-equilibrium flows.

Bibtex entry

@ARTICLE { park_moin14,
    AUTHOR = { G.I. Park and P. Moin },
    TITLE = { An improved dynamic non-equilibrium wall-model for large eddy simulation },
    JOURNAL = { Physics of Fluids },
    VOLUME = { 26 },
    NUMBER = { 015108 },
    YEAR = { 2014 },
    ABSTRACT = { A non-equilibrium wall-model based on unsteady 3D Reynolds-averaged Navier-Stokes (RANS) equations has been implemented in an unstructured mesh environment. The method is similar to that of the wall-model for structured mesh described by Wang and Moin [Phys. Fluids, 14, 2043-2051 (2002)], but is supplemented by a new dynamic eddy viscosity/conductivity model that corrects the effect of the resolved Reynolds stress (resolved turbulent heat flux) on the skin friction (wall heat flux). This correction is crucial in predicting the correct level of the skin friction. Unlike earlier models, this eddy viscosity/conductivity model does not have a stress-matching procedure or a tunable free parameter, and it shows consistent performance over a wide range of Reynolds numbers. The wall-model is validated against canonical (attached) transitional and fully turbulent flows at moderate to very high Reynolds numbers: a turbulent channel flow at Re_tau = 2000, an H-type transitional boundary layer up to Re_theta = 3300, and a high Reynolds number boundary layer at Re_theta = 31 000. Application to a separated flow over a NACA4412 airfoil operating close to maximum lift is also considered to test the performance of the wall-model in complex non-equilibrium flows. },
    URL = { http://dx.doi.org/10.1063/1.4861069 },
}