Three-dimensional multiple-relaxation-time discrete Boltzmann model of compressible reactive flows with nonequilibrium effects

Based on the kinetic theory, a three-dimensional multiple-relaxation-time discrete Boltzmann model (DBM) is proposed for nonequilibrium compressible reactive flows where both Prandtl number and specific heat ratio are freely adjustable. There 30 moments of distribution functions, an efficient thirty-velocity utilized. Through Chapman–Enskog analysis, Navier–Stokes equations can be recovered from DBM. Unlike existing lattice models flows, hydrodynamic thermodynamic fields fully coupled in DBM to simulate combustion subsonic, supersonic, potentially hypersonic flows. In addition, effects obtained quantified handily evolution equation. Several well-known benchmarks adopted validate model, including chemical reactions free falling process, thermal Couette flow, one-dimensional steady or unsteady detonation, spherical explosion enclosed cube. It shown that has capability subsonic supersonic fluid with without reactions.