Large Eddy Simulation of Turbulent Channel Flow Using Algebraic Wall Model

Abstract

ABSTRACT. A large eddy simulation (LES) of a turbulent channel flow is performed by using the third order low-storage Runge-Kutta method in time and second order finite difference formulation in space with staggered grid at a Reynolds number, Reτ = 590 based on the channel half width, δ and wall shear velocity, uτ . To reduce the calculation cost of LES, algebraic wall model (AWM) is applied to approximate the near-wall region. The computation is performed in a domain of 2πδ×2δ×πδ with 32×20×32 grid points. Standard Smagorinsky model is used for subgrid-scale (SGS) modeling. Essential turbulence statistics of the flow field are computed and compared with Direct Numerical Simulation (DNS) data and LES data using no wall model. Agreements as well as discrepancies are discussed. The flow structures in the computed flow field have also been discussed and compared with LES data using no wall model.

Large eddy simulation of turbulent channel flow using differential equation wall model

“…The possible flow Reynolds number is Re τ = 590 which is based on δ and u τ . The computation is carried out with a non-dimensional time increment, ∆t = 0.002, which maintained a CFL number (Mallik et al, 2014;Mallik and Uddin, 2016;Uddin and Mallik, 2015):…”

“…Its geometry is simple and attractive for the researchers for both the experimental and computational studies on turbulent flow. Consequently, a broad range of experimental and computational studies of turbulent channel flow have been carried out (Dritselis, 2014;Elbatran, 2016;GrÖtzbach, 1987;Kim et al, 1987;Mallik and Uddin, 2016;Mallik et al, 2014;Moser et al, 1999;Schumann, 1975;Uddin and Mallik, 2015;Yang et al, 2008).…”

“…These observations lead to the conclusion that LES, which resolves the large scales and models the small ones. For studying flows of practical interest the LES is currently the most promising method (Balaras et al, 1996;Cabot, 1995;Cabot and Moin, 2000;Dritselis, 2014;GrÖtzbach, 1987;Mallik and Uddin, 2016;Mallik et al, 2014;Sagaut, 2001;Uddin et al, 2006;Uddin and Mallik, 2015;Xie et al, 2013;Yang et al, 2008). The position of LES is intermediate between DNS (GrÖtzbach, 1987;Mallik et al, 2013;Moser et al, 1999) and Reynoldsaveraged Navier-Stokes equations (RANS) techniques.…”

Comparative Study of Standard Smagorinsky Model and Dynamic Smagorinsky Model in Large Eddy Simulation of Turbulent Channel Flow

“…LES is less expensive and can simulate very complex flow fields in turbulence at a reasonable computational cost. So the use of LES [5][6][7][8][9][10][11][12][13][14][15] is increasing day by day as a reliable prediction tool.…”