Numerical simulation of deflagration-to-detonation transition via shock–multiple flame kernels interactions

The deflagration-to-detonation transition via the interaction of a weak shock with series discrete laminar flames is analyzed computationally based on unsteady reactive Navier–Stokes equations one-step Arrhenius chemistry. For comparison, simulations Euler are also performed. numerical setup aims to mimic an array ignited at different spark times, artificially inducing chemical activity stimulate coupling between gas dynamics and energy release for transition. first cylindrical flame demonstrates very good agreement results in literature that single shock–flame insufficient cause prompt DDT. However, high degree Richtmyer–Meshkov instabilities induced by repetitive shock–boundary interactions generate turbulence accelerates surface, referred as brush, until eventually hot spot ignition unreacted material develops into multi-headed detonation wave. In absence physical diffusion simulation, enhanced burning rate turbulent brush suppressed. Nevertheless, intense flow fluctuations generated shocks, boundary create conditions under which can potentially occur later times. A parametric study reported this paper assess influence various parameters event explore scaling relationships among these parameters.