Numerical simulations using Lattice Boltzmann Method

Abstract: The lattice Boltzmann method (LBM) is widely studied andused in the last years to replace the conventional numerical solvers forthe Navier-Stokes equations. In this work, a general introduction tofluid dynamics equations and the changes when the flow is a reactivemulti-species one will be given first. The lattice Boltzmann method andalgorithm will then be explained in details with the kinetic theorybehind, tested and validated for canonical test cases of doubly shearlayer flow in reactive and non-reactive flows. Finally the method willbe applied to simulate a non-reacting propane jet and the results willbe validated using experimental data. The objectives of this thesis are mainly: first a better understandingof the LBM, the combustion reactions, the jets and how they work, secondthe use of this method to produce a simple code that works for a basictest case, third validate this code with more developed methods, andfinally apply this method to simulate a more complex configuration whichis the non-reacting propane jet flame into co-flowing air