Lattice Boltzmann Algorithm for Laminar Jet Diffusion Flame

A two-distribution lattice Boltzmann algorithm is presented to solve the Burke-Schumann diffusion flame. One distribution function represents the transport of the Schwab-Zeldovich coupling function, viz. the mixture fraction that combines the energy and species equations. The other distribution function models the compressible Navier-Stokes equations. The modified equilibrium distribution functions recover the macroscopic governing equations up to second order accuracy. In order to capture large gradients near nozzle exit and simulate infinite domain, the characteristic-based Galerkin finite element method is used to discretize the set of lattice Boltzmann equations on unstructured mesh. In this study the flame for a slot burner is considered. The results are compared with benchmark experimental and numerical results.