SIMULATING FLAME INSTABILITIES WITH THE LATTICE-BOLTZMANN METHOD
Résumé
Lattice-Boltzmann (LB) method has recently emerged as an attractive alternative to Navier-Stokes equations for Computational Fluid Dynamics. However, use of LBM for reactive flows is scarce, mainly
due to the difficulty of implementing thermal thermodynamic closure. In this regard, recent progress on Lattice-Boltzmann methods for low mach combustion modelling will be presented. A hybrid method
coupling LB and Finite-Difference (FD) solver will be detailed. The LB solver consists of a regularized
thermal Lattice Boltzmann method with Bhatnagar-Gross-Krook (BGK) collision operator. The
pressure is linked to the ideal gas law and the macroscopic variables are recovered using the moments
of equilibrium function on the standard lattices (D2Q9, D3Q19, etc.). Furthermore, using the Chapman-
Enskog multiscale technique, Navier-Stokes equations can be recovered. The classical FD schemes
are used to solve Energy and Species conservative equations. The method is compressible and incor-
porates full thermo-fluid coupling. Along with recovering classical multi-component thermo-dynamics
closure including component-specific variable specific heat capacity and transport properties, as well as non-unity Prandtl number.
First, a preliminary model will be presented where the validations are performed with 1-D freely prop-
agating flame and 2-D counter flow diffusion flame. Then, further developments of the model will be
discussed. The capabilities of the developed model to handle complex flame structures will be demon-
strated using 2-D Double-Shear layer, 2-D Flame-Vortex interaction, 2-D Darrieus-Landau Instability
and 3-D Taylor-Green Vortex incorporating both simplified and detailed chemistry. The results will be
compared with experimental and numerical solutions. Hence, demonstrating the use of LB method for
complex flame simulations.