Lattice Boltzmann method for direct numerical simulation of turbulent flows

Abstract

We present three-dimensional direct numerical simulations (DNS) of the Kida vortex flow, a prototypical turbulent flow, using a novel high-order lattice Boltzmann (LB) model. Extensive comparisons of various global and local statistical quantities obtained with an incompressible-flow spectral element solver are reported. It is demonstrated that the LB method is a promising alternative for DNS as it quantitatively captures all the computed statistics of fluid turbulence.

The effect of lattice models within the lattice Boltzmann method in the simulation of wall-bounded turbulent flows

“…We leave the investigation of the lattice model effect under the higher Reynolds turbulent wallbounded flows and for other geometries, such as turbulent flows in a rod bundle and in a pipe with different shapes, to future studies. It should also be pointed out that since the D3Q27 lattice model is not also sufficiently Galilean invariant [23], it may lead to problems similar to the D3Q19 lattice model in the limited situations. In this case, the higher-order lattice models with more sufficient Galilean invariance, such as the D3Q41 lattice model [24], may need to be considered.…”

Lattice Boltzmann direct numerical simulation of interface turbulence over porous and rough walls

“…Furthermore, since the LBM is suitable for parallel computing using the MPI and GPUs as reported by Huang et al (2015) ; Li et al (2013) and has been validated for turbulent flow DNS (e.g., Lammers et al, 2006;Chikatamarla et al, 2010;Bespalko et al, 2012;Suga et al, 2015 ), it has been often applied to various complex turbulent flow problems such as flows in porous media (e.g., Hasert et al, 2011;Krafczyk et al, 2015;Kuwata and Suga, 2015b ) or over rough walls (e.g., Jin et al, 2015;Tóth and Jánosi, 2015 ). Because of the above distinctive computational features, this study employs the LBM for simulating the time-dependent turbulent flow fields over porous and rough walls.…”

Detailed analysis of the lattice Boltzmann method on unstructured grids

“…Considering that, the entropic lattice Boltzmann method has emerged as a robust tool for simulations of high Reynolds number flows, see e.g. : Keating et al (2007), Chikatamarla et al (2010). With the addition of novel boundary conditions, Chikatamarla and Karlin (2013) developed a robust method for sub-grid simulations of wall bounded turbulent flows flows without further modelling.…”