  A new lattice Boltzmann model for reactive ideal gas mixtures is presented.
The model is an extension to reactive flows of the recently proposed
multi-component lattice Boltzmann model for compressible ideal gas mixtures
with Stefan-Maxwell diffusion for species interaction. First, the kinetic model
for the Stefan--Maxwell diffusion is enhanced to accommodate a source term
accounting the change of the mixture composition due to chemical reaction.
Second, by including the heat of formation in the energy equation, the
thermodynamic consistency of the underlying compressible lattice Boltzmann
model for momentum and energy allows a realization of the energy and
temperature change due to chemical reactions. This obviates the need for ad-hoc
modelling with source terms for temperature or heat. Both parts remain
consistently coupled through mixture composition, momentum, pressure, energy
and enthalpy. The proposed model uses the standard three-dimensional lattices
and is validated with a set of benchmarks including laminar burning speed in
the hydrogen-air mixture and circular expanding premixed flame.
