Validation of Smagorinsky LES turbulence model in FluidX3D LBM: In-place vs central difference

¹ Institute of Thermophysics SB RAS, 630090 Novosibirsk, Russia
² Novosibirsk State University, 630090 Novosibirsk, Russia

^* Corresponding author: mplekhanov@g.nsu.ru

Abstract

Lattice Boltzmann method (LBM) has been rapidly developing as a CFD approach throughout the last three decades. The rise of new computational architectures like GPU in the last decade pawed the way to emergence of high-performance CFD software based on this method. The most outstanding of such is FluidX3D, utilizing locality of algorithm operations in connection with massive parallelism of GPU. High performance and memory efficiency of this software make it a promising idea to apply FluidX3D to challenging CFD problems, like turbulence simulation. In this work an effort is put into validation of Smagorinsky LES turbulence model implemented in this software. In addition, direct central difference implementation of this model is added to verify existing approach. The validation is done on the turbulent plane channel flow at Re_τ = 180. Reasonable agreement between two LES model results was obtained. The convergence of LES profiles to DNS profiles with sufficient resolution proves correctness of implemented model.