The mathematical model and numerical approach based on ENO schemes for the flows in variable cross-section channels with combustion

In this paper it is considered the model of solution for gas mixture one-dimensional flow in the channel of variable cross-section with combustion. The use of the Riemann problem solution for the extended system of gas dynamic equations, consisting of six ones due account of the combustion, is the feature of the algorithm. The numerical method based on high order ENO schemes is. In general, the paper has a propaedeutic nature.