This chapter gives two different approaches in dealing with their complexity and implementation of solving the problem. In the case of fires indoors of underground garages, buildings, and rooms, the development of the fire is accompanied by a change in the chronicle composition and parameters of the combustion products. This is due to its nonstationarity and three-dimensionality, which complicate the modeling of the heat and mass transfer processes observed in them. The actual fire, as it is known, is an uncontrollable combustion process, complex enough and difficult for mathematical interpretation. The methods that are used must have the necessary accuracy and reliability, as close as possible to the physical picture of the processes. Mathematical modeling and numerical simulations of fires are an essential decisive part of the solution of important problems related to fire safety, analysis of the development of fires in the investigation of their consequences.
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