A Monte Carlo method is presented which simulates the transport equations of joint
probability density functions (pdf's) in turbulent flows.(Finite-difference solutions of the …

The aim of the methods described is to calculate the properties of turbulent reactive flow
fields. At each point in the flow field, a complete statistical description of the state of the fluid …

The transport equation for the joint probability density function of velocity and scalars is
shown to provide a good basis for modeling turbulent reactive flows. As in the equation for …

Chemically reactive turbulent flows are difficult to predict for the simple reason that neither
turbulent transport nor chemical kinetics, the two important phenomena which form their …

The theory stemming from the statistical representation of turbulent flames is presented and
developed, the major aim being to describe the basic processes in relatively simple flames …

In probability density function (pdf) methods, statistics of inhomogeneous turbulent flow
fields are calculated by solving a modeled transport equation for a one‐point joint probability …

Idealized premixed turbulent flames are studied using probability density function (pdf)
methods. A modeled transport equation for the joint pdf of velocity and the reaction progress …

Recent studies of turbulent premixed combustion by the authors and their coworkers are
reviewed with emphasis on two topics, related to the interaction between turbulence and …

The formulation of a closed set of averaged equations to describe a turbulent reacting flow is
hindered by highly nonlinear relations between instantaneous quantities. This problem is …

This survey of the current state of the art in computational models for turbulent reacting flows
carefully analyzes the strengths and weaknesses of the various techniques described …