Golovko O. Mathematical modeling of fire in systems of transport infrastructure

The dissertation is devoted to prognostic estimate of threats to transport infrastructure objects from landscape fire. Date for determination of danger characteristics are calculated using the developed mathematical and computer models of the fire spreading process. For synthesis of the above models fire macroprocess is presented as a set of adequate burning microprocesses. Three-dimensional cellular automata models which are able to simulate microscopic processes of combustion, using the description of the physics of the above processes, are developed. The method of applying the model on a specific area is carried out. The data encoding method of natural areas is shown in detail. The thesis has simulated the spread of fire through culverts under the railway bed with the calculation of VF limit load, under which the transition of fire under the rail bed is possible. Dissertation research was conducted as a part of an integrated informational system of management by moving objects, consisting of database, model of the fire spreading, the decision making process and technical means influence on infrastructure. The simulation program of fire spreading using this mathematical model for object-oriented C ++ is developed to receive the "Fire" software. The proposed methodology and simulation software "Fire", were included in the training process