The simulation of turbulent flows, connected with environmental protection and the design of chemical and engineering processes, is increasingly important and requires the assessment of complicated interactions, especially in reactive flows. This monograph systematically discusses which statistical methods are appropriate for computing turbulent flows, with special emphasis on environmental and geophysical flows. Applications to similar problems in physics and chemical and mechanical engineering are also described, as are some in nonlinear atmospheric chemistry. Statistical Mechanics of Turbulent Flows treats the underlying stochastic basics and applications, up through current developments in methods for calculating multi-phase flows. Readers learn how to construct a customized probability density function (PDF) for a given problem. The author, who has participated in the development of these efficient and effective methods, wrote this book for advanced students and practitioners.