Towards wall-adaption of turbulence models within the lattice Boltzmann framework

This paper presents the development towards wall adaptive explicit filters for the simulation of turbulent wall bounded flows in the framework of the lattice Boltzmann method (LBM). First, we show the effect of different collision models on the characteristics of turbulent flow simulations by employing the Taylor-Green vortex as a numerical testcase. Second, an extension of the approximate deconvolution method (ADM), see Malaspinas & Sagaut (2012), Malaspinas & Sagaut (2011) and Sagaut (2010) for the simulation of wall-bounded turbulent flows is presented. A temporal dissipation relaxation is applied for explicit filtering, in order to suppress filtering in regions, where the flow is resolved and to adapt filtering in underresolved regions in such way, that the energy drain in the scales is physically motivated and consistent with the kinetic theory of turbulence. We apply the extended ADM for the simulation of a turbulent channel flow at Re_τ = 180 and Re_τ = 395 to demonstrate, that the ADM method of Malaspinas & Sagaut (2011) with selective viscosity filters is strictly dissipative for low-order filters. Hence, especially for wall-bounded flows the application of the proposed adaptive relaxation of the filter can be beneficial.