White in Time Scalar Advection Model as a Tool for Solving Joint Composition PDF Equations: Derivation and Application

A new light is shed upon Eulerian Monte Carlo (EMC) methods and their application to the simulation of turbulent reactive flows. A rapidly decorrelating velocity field model is used to derive stochastic partial differential equations (SPDE) allowing one to compute the modeled one-point joint probability density function of turbulent reactive scalars. Those SPDEs are shown to be hyperbolic advection/reaction equations. They are dealt with in a generalized sense, so that discontinuities in the scalar fields can be treated. The EMC method thus defined is coupled with a RANS solver and applied to the computation of a turbulent premixed methane flame over a backward facing step.