Three-dimensional numerical simulation of shock and detonation waves propagation in tubes with curved walls

The mathematical model, the numerical method and the parallelization technique are presented for the problems of detonation initiation by means of comparatively weak shock wave and propagation of detonation waves in three-dimensional tubes of complex shapes. The mechanisms of detonation initiation in a tube with parabolic contraction and cone expansion and in a helical tube are analyzed. The results obtained are of interest both for basic research contributing to understanding of the mechanism of detonation initiation in tubes with curved walls and for applications from point of view of predictive modeling of accidents in chemical industry.