Parametric transition from deflagration to detonation: Runaway of fast flames

The paper is concerned with identification of the key interactions controlling deflagration-to-detonation transition in confined and unconfined gaseous systems. The issue of thermal runaway triggered by positive feedback between the advancing flame and the flame-driven precursor shock is revisited. Predictions of the asymptotic analysis based on small Mach number approximation are validated by numerical simulations of the pertinent dynamical...