Eur. Phys. J. Special Topics 171, 167-171 (2009)
https://doi.org/10.1140/epjst/e2009-01025-7

Entropic, LES and boundary conditions in lattice Boltzmann simulations of turbulence

¹ Department of Physics, William & Mary, Williamsburg, Virginia, 23185, USA
² Department of Ocean and Resources Eng., University of Hawaii at Manoa, Honolulu, Hawaii, 96822, USA
³ Department of Mathematics and Physics, Rogers State University, Claremore, OK, 74017, USA
⁴ Air Force Research Laboratory, Hanscom AFB, Massachusetts, 01731, USA
⁵ Department of Electrical & Computer Engineering, Old Dominion University, Norfolk, Virginia, 23529, USA
⁶ High Performance Computing Modernization Program, Mississippi State University, Oktibbeha, MS, 39762, USA

Abstract

Large scale (1600³-grid) entropic lattice Boltzmann (ELB) simulations are performed on the 27-bit model at sufficiently high Reynolds numbers to find intermittency corrections to the Kolmogorov k^-5/3 inertial spectrum. Even though the transport coefficients in ELB and in the Large Eddy Simulation (LES) lattice Boltzmann schemes have very different origins, there are strong similarities in their turbulence statistics from 512³-grid simulations. A new LB moment-space boundary condition algorithm is tested on the 2D backstep problem, with excellent agreement with experimental data even up to a Reynolds number of 800.