Developments in multiple mapping conditioning for turbulent non-premixed and premixed combustion simulation

Abstract

This thesis describes the latest developments in the Multiple Mapping Conditioning (MMC) framework and its application for non-premixed and premixed turbulent combustion. Turbulent combustion is considered a paradigm for multi-scale problems and of interest from a physical, computational and applied mathematical perspective. The practical roots of this interest stem from the global reliance on fossil fuels and associated concerns on sustainability, environmental impacts and efficiency. As fossil fuels are forecast to remain dominant in the fuel mix for the foreseeable future, maximising the efficiency of combustion systems and minimising the emission of pollutants are compelling endeavours.Although important, experimental investigations of turbulent reacting flows can be complex and expensive. A complementary approach, which permits analysis of a full scale combustor and reduces risk, is to model these systems. In general, modelling approaches are categorised as being based exclusively on, or a combination of, either mixture fraction based methods or the joint Probability Density Function (PDF) methods. Models belonging to the former category have had significant success for non-premixed combustion due to their low dimensionality. The attraction the PDF method, is the inherent closure of source terms and its flexibility in simulating the regimes of turbulent com-