Lattice Boltzmann methods for combustion applications

Progress in recent years has opened the door for yet another area of application for the lattice Boltzmann method: Combustion simulations. Combustion is known to be a challenge for numerical tools due to, among many other reasons, a large number of variables and scales both in time and space. The present work aims to provide readers with an overview of recent progress and achievements in using the lattice Boltzmann method for combustion simulations. The article reviews some basic concepts from the lattice Boltzmann method and discusses different strategies to extend the method to compressible flows. Some of the lattice Boltzmann models developed to model mass transport in multi-species system are also discussed. The article provides a comprehensive overview of models and strategies developed in the past years to simulate combustion with the lattice Boltzmann method and discuss some of the most recent applications, remaining challenges and prospects.