Direct simulation of stably stratified wall-bounded turbulence using the lattice Boltzmann method

The lattice Boltzmann method (LBM) is employed to simulate stratified plane Couette (SPC) flows in their statistically stationary turbulent state. aim assess the suitability of LBM for direct simulation wall-bounded, sheared turbulence under influence stable stratification. SPC flow generated by two parallel plates moving opposite directions with velocities ± U w, and buoyancy fixed at b w upper lower plates, respectively. Reynolds number Re = h / ν, where half-gap height, ν kinematic viscosity, varies from 1000 3000. Richardson Ri 2 set 0 or 0.01. results are compared numerical simulations using conventional pseudo-spectral method, good agreement found various statistics, such as mean fluctuation velocity buoyancy, stress, heat flux, dissipation rate, wall fluxes momentum heat, longitudinal transverse spectra. grid-sensitivity tests indicate that uniform isotropic grid spacing Δ x needs be no greater than approximately near-wall viscous length scale δ achieve adequate resolution wall-bounded turbulence.