Renormalization group analysis of turbulence I. Basic theory
Journal of Scientific Computing
Large Eddy simulations of a stirred tank using the lattice Boltzmann method on a nonuniform grid
Journal of Computational Physics
Lattice Boltzmann model for free-surface flow and its application to filling process in casting
Journal of Computational Physics
Coupled lattice Boltzmann and discrete element modelling of fluid-particle interaction problems
Computers and Structures
A consistent lattice Boltzmann equation with baroclinic coupling for mixtures
Journal of Computational Physics
An investigation into curved and moving boundary treatments in the lattice Boltzmann method
Journal of Computational Physics
Journal of Computational Physics
Smooth initialization of lattice Boltzmann schemes
Computers & Mathematics with Applications
Computers & Mathematics with Applications
WENO-enhanced gas-kinetic scheme for direct simulations of compressible transition and turbulence
Journal of Computational Physics
Linear lattice Boltzmann schemes for acoustic: Parameter choices and isotropy properties
Computers & Mathematics with Applications
Lattice Boltzmann method for simulations of gas-particle flows over a backward-facing step
Journal of Computational Physics
Hi-index | 31.47 |
The objective of the paper is to assess the effectiveness of the lattice Boltzmann equation (LBE) as a computational tool for performing direct numerical simulations (DNS) and large-eddy simulations (LES) of turbulent flows. Decaying homogeneous isotropic turbulence (HIT) in inertial and rotating frames is considered for this investigation. We perform three categories of simulations. The first category involves LBE-DNS of HIT. In the inertial frame of reference, the decay exponents of the kinetic energy k, the dissipation rate @e and the low wave-number scaling of the energy spectrum are studied. The LBE results agree well with established classical results. In the case of turbulence subject to frame rotation, the LBE simulations confirm that the energy decay rate decreases with Rossby number as the energy cascade is inhibited by rotation. Second, we carry out LBE-LES for decaying HIT in inertial frame. We compute kinetic energy decay, energy spectrum and flow structures. By comparing LBE-LES and LBE-DNS results, we observe that LBE-LES accurately captures prominent large scale flow behavior. We find that the Smagorinsky constant C"S in LBE-LES should be smaller than the typical value used in traditional Navier-Stokes (NS) LES approaches. Finally, we compare the LBE-LES and NS-LES (of comparable order of numerical accuracy) results for HIT and observe that the LBE-LES simulations appear to preserve instantaneous flow fields somewhat more accurately. Our results clearly indicate that the LBE method can accurately capture important features of decaying HIT and is potentially a reliable computational tool for turbulence simulations.