Mathematical modeling of the process of surge wave propagation in open channels with a variable cross-sectional area

Conclusions1.A numerical algorithm was developed for calculating the propagation of surge waves in canals with a variable cross-sectional area.2.The satisfactory agreement of the calculation results and theoretical solutions indicates the correctness of using the proposed calculation scheme.3.In the case of occurrence of breakthrough waves a change in the width of the river valley leads to reflected waves of considerable intensity, which is accompanied by a further rise of the water level at sites located upstream, which leads to an increase of the maximum size of flooded territories and has great significance when organizing rescue operations in emergency situations.