An explicit power-law-based wall model for lattice Boltzmann method–Reynolds-averaged numerical simulations of the flow around airfoils

Abstract

In this paper, an explicit wall model based on a power-law velocity profile is proposed for the simulation of the incompressible flow around airfoils at high Reynolds numbers. This wall model is particularly suited for the wall treatment involved in Cartesian grids. Moreover, it does not require an iterative procedure for the friction velocity determination. The validation of this power-law wall model is assessed for Reynolds-averaged Navier-Stokes simulations of the flow around a two-dimensional airfoil using the lattice Boltzmann approach along with the Spalart-Allmaras turbulence model. Good results are obtained for the prediction of the aerodynamic coefficients and the pressure profiles at two Reynolds numbers and several angles of attack. The explicit power-law is thus well suited for a simplified near-wall treatment at high Reynolds numbers using Cartesian grids.

Actuator line simulations of wind turbine wakes using the lattice Boltzmann method

“…Hence, the eddy viscosity ν t (t) can be computed either explicitly, using ν t (t − t), or iteratively. Yu et al (2005), however, showed that the error associated with the implicitness of ν t is generally negligible due to the typically small time steps used in the LBM. We shall therefore refrain from implicitly solving for ν t , in line with similar Smagorinsky approaches in MRT frameworks (Yu et al, 2006;Premnath et al, 2009a).…”

“…As for this specific set-up, satisfactory stability could only be achieved using the CLBM despite the use of the Smagorinsky model (for the reference formulations in moment space applied to the SRT and MRT models, see Yu et al, 2005Yu et al, , 2006. The SRT generally became unstable after only a few time steps.…”

Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows

“…Besides, the recursive regularized BGK model was proposed for high Mach number flows basing on higher-order lattice set [32,11]. Jacob et al [33] then proposed a dynamic hybrid recursive regularized BGK model with self-adaptive dissipation for Large-Eddy Simulation high Reynolds number flows and Reynolds-Averaged Numercial Simulation [34], which could be generally extended to compressible flows by considering the effects of turbulent fluctuations have a striking resemblance to those of microscale (thermal) fluctuations in laminar flows [35,36].…”

Hybrid recursive regularized lattice Boltzmann simulation of humid air with application to meteorological flows

“…Due to its advantages for massively parallel computing as well as its suitability to handle very complex geometries, the LBM has been quickly extended to large scale and multi-scales applications. These applications cover, among others, aerodynamic studies on fullscale vehicles, turbulent flows in urban areas [10], aerodynamic predictions on airfoils [11]. Furthermore, the LBM also has been extended to complex multi-physics phenomena through the additional distribution function approach proposes additional conservation law to solve multi-physics fields [12,13].…”