Physical aspects of numerical modelling of flows with combustion

A physical 'finite volumes' approach to the modelling of combustion flows is presented which can be used to obtain equations amenable to the numerical treatment of such flows. Two very simple models, more mathematical in nature, are developed and applied to the case of small-scale turbulent combustion. As examples of the application of these methods, three cases of combustion flows are considered. One shows the crucial importance of the turbulent combustion model, the second applies to the temperature and velocity field in a furnace with radiation, and the third describes the ignition of a three-dimensional model burner.