Application of Dynamic Smagorinsky Model to the Finite Difference Lattice Boltzmann Method

Abstract

Three-dimensional turbulent flows past a square cylinder are simulated by the Finite Difference Lattice Boltzmann Method (FDLBM). We carry out the simulation in two approaches. First, we carry it out using fourth order numerical viscosity without any turbulent model, and second, we simulate using Dynamic Smagorinsky Model (DSM). These results are compared with those by the experiment conducted by Lyn et al. Numerical results by DSM agree with experimental ones and it is confirmed that this method is useful for numerical simulations of turbulent flows.

Keywords

• computational fluid dynamics
• lattice boltzmann method
• turbulent flow
• incompressible flow
• large-eddy simulation