Guzenko V. Modeling in time of fronts of explosive waves with a point source after their reflection from a surface

Object - the phenomenon of reflection of beams from curvilinear surfaces, and their graphic representation with a dot source of fronts of the blast waves reflected from a cylindrical surface; the purpose - development of a way of calculation of time dynamics of the geometrical form of the closed area of low pressure of front of the blast wave reflected from a cylindrical reflector; methods - geometrical modelling of passage of beams in space of reflective system, methods of calculus mathematics, geometrical modelling of a surface of front of the reflected wave; theoretical and practical results - time dynamics of the closed area of low pressure of front of shock waves for cylindrical reflectors with an asymmetrical arrangement of a source of explosion and under condition of not cartesian circuit of reflection when the corner of falling is not equal to a corner of reflection for the first time is described, the analytical description of a trajectory of a particle which would pass through obviously set points for the first time is received, the nonlinear differential equation for definition of the closed areas of low pressure of front of shock waves for the first time is made and solved; scientific novelty - the new decision of a problem{task} of time dynamics of the geometrical form and integrated characteristics of the closed area of low pressure of front of the blast wave reflected from a cylindrical reflector that is the new decision of a scientific problem of geometrical modelling of objects of reflective systems is received; degree of introduction - the Ministry of Emergency Measures of Ukraine in АР Crimea for suppression of riding forest fires by means of the directed explosions and in a training course of University of civil protection of Ukraine is introduced at State enterprise "Research-and-production association "Pavlograd a chemical plant"", into practical activities; sphere of use - development of new algorithms of designing of reflective systems where it is necessary to take into account the geometrical form and presence of emptiness of fronts of the reflected waves.