We analyze properties of a nonlocal hyperbolic balance law equation that we previously proposed to model the dynamics of unstable detonation waves. We show that much of the complexity present in one-dimensional detonations can be captured by a properly forced Burgers’ equation. Furthermore we employ a combination of numerical and analytical tools to investigate the […]
We propose a theory of weakly nonlinear multidimensional self-sustained detonations based on asymptotic analysis of the reactive compressible Navier–Stokes equations. We show that these equations can be reduced to a model consisting of a forced unsteady small-disturbance transonic equation and a rate equation for the heat release. In one spatial […]
We propose a simple model equation that predicts chaotic shock waves, similar to those in detonations in chemically reacting mixtures. The equation is given on the half line, with the shock located at x=0. This equation retains the essential physics needed to reproduce many properties of detonations in gaseous reactive mixtures: […]
