Benchmarking a lattice-Boltzmann solver for reactive flows: Is the method worth the effort for combustion?

This Letter reports a validation of a lattice-Boltzmann approach following the Taylor-Green Vortex benchmark presented at the 19th International Congress on Numerical Combustion and recently reported by Abdelsamie et al. ["The Taylor-Green vortex as a benchmark for high-fidelity combustion simulations using low-Mach solvers," Comput. Fluids 223, 104935 (2021)]. The lattice-Boltzmann approach, despite having a time step bound by an acoustic Courant-Friedrichs-Lewy condition, provides results faster than the low-Mach solvers which performed to the benchmark. Such a feat is made possible by the fully explicit nature of the method and indicates very high potential for practical applications.