Comparative Study of the Large Eddy Simulations with the Lattice Boltzmann Method Using the Wall-Adapting Local Eddy-Viscosity and Vreman Subgrid Scale Models

Abstract

The wall-adapting local eddy-viscosity (WALE) and Vreman subgrid scale models for large eddy simulations are compared within the framework of a generalised lattice Boltzmann method. Fully developed turbulent flows near a flat wall are simulated with the two models for the shear (or friction) Reynolds number of 183.6. Compared to the direct numerical simulation (DNS), damped eddy viscosity in the vicinity of the wall and a correct velocity profile in the transitional region are achieved by both the models without dynamic procedures. The turbulent statistics, including, e.g., root-mean-square velocity fluctuations, also agree well with the DNS results. The comparison also shows that the WALE model predicts excellent damped eddy viscosity near the wall.

Large-eddy Simulation of Wall-bounded Turbulent Flow with High-order Discrete Unified Gas-Kinetic Scheme

“…It is smaller than prior data based DNS in Ref [1,44] whose values are about 1.50 and 1.53, respectively. As discussed in Ref [11,12], such difference could conceivably be due to compressibility effects and filter effects.…”

“…The fully developed turbulent channel flow is a canonical wall-bounded turbulent flow, which has been simulated by many pioneers [1,6,44,45] with macroscopic CFD methods. In addition, this case has also been simulated by several kinetic schemes based on mesoscopic models [11][12][13]36]. The focus of this study is on validating the capability and accuracy of the present high-order DUGKS-based LES method for simulating the wall-bounded turbulent flows.…”

“…Among them, because of the simplicity in formulation and multi-functionality, the lattice Boltzmann equation (LBE) methods has been widely and successfully used in the numerical simulation of turbulence. At present, the majority of the existing LBM-LES methods introduce the effect of eddy viscosity from SGS models into the relaxation time [11][12][13]. Hou et al [14] firstly reported a simple large-eddy simulation based on LBM for two-dimensional turbulent flow.…”

“…Premnath et al [11] implemented both the standard Smagorinsky model [5] modified by using the van Driest wall-damping function and the dynamic procedure [15] to simulate a wall bounded turbulent flow. Recently, the wall-adapting local eddy-viscosity (WALE) model [16] and Vreman model [17] were reported within the lattice Boltzmann framework, such as multiplerelaxation time (MRT) [11,12] and filter-matrix lattice Boltzmann (FMLB) [13] for simulating the fully developed turbulent channel flows. Besides, the gas-kinetic scheme (GKS) [18,19] and implicit high-order GKS [20] for solving NS equations have also been extended to turbulent large-eddy simulations.…”

Applications of Lattice Boltzmann Method to Turbulent Flow Around Two-Dimensional Airfoil

“…Third, the parameter -relaxation time, τ-naturally includes both the regular viscous effects and its higher order modifications. In recent years, LBM based Direct Numerical Simulations (DNS), Large Eddy Simulations (LES) (Premnath et al, 2009;Liu et al, 2012), Reynolds-Averaged Navier-Stokes calculations (Filippova et al, 2001;Zhuo et al, 2010) were implemented, which showed great success in turbulence predictions. Both DNS and LES require 3D simulation and comparatively fine grid resolution.…”