Lattice Boltzmann method with nonreflective boundary conditions for low Mach number combustion

The paper presents a lattice Boltzmann (LB) method for premixed and nonpremixed combustion simulations with nonreflective boundary conditions, in contrast to Navier–Stokes solvers or hybrid schemes. current approach employs different sets of distribution functions flow, temperature species fields, which are fully coupled. discrete equilibrium density distributions obtained from the Hermite expansions thus thermal compressibility is included. coupling among momentum, energy transport enables model be applicable reactive flows chemical heat release. characteristic conditions incorporated into LB scheme avoid numerical reflections. multi-relaxation-time collision schemes applied all solution procedures improve stability. With detailed thermodynamics mechanisms hydrogen-air, modelling framework validated against both flame propagation counterflow diffusion benchmarks. Simulations circular expanding flames further demonstrate capability new method. developed methodology retains advantages classic methods extends low Mach number potential applications mesoscale microscale combustors, catalysis, fuel cells, batteries so on.