Аннотация:

The paper presents the results of the research on the combustion-to-detonation transition of a hydrogen-air mixture basing on numerical solution of the Navier-Stokes equation system using the finite volume method on a structured mesh. It has been shown that a one-step explicit Godunov scheme results into numerical oscillations in the solution. To suppress oscillations, it is proposed to use a multi-step scheme based on the Godunov method - a Runge-Kutta type scheme. This scheme uses a hybrid modification, where there is no re-computation of diffusion flows at each internal step, while using mixing of terms from different steps, which reduces computational costs and increases the stability of the difference scheme. The combustion process is described by a global kinetic mechanism, where a single hydrogen oxidation reaction is used replacing the whole stage of the real kinetic process. We obtained the dependence of the combustion mode on molar fraction of hydrogen in the mixture.