Polygonal structures in gaseous disks: dependence on the Mach number

In this work discuss the results of numerical simulations of the evolution of the gaseous disk, which is submerged in an external nonaxisymmetric potential of galaxy taking into account the spiral structure in the stellar subsystem. Conditions for the formation of polygonal spiral patterns in the gas component were studied depending the Mach number of the disk. The calculations are performed based on the TVD-method using parallel technologies.