Abstract
This chapter explores application of white in time scalar advection model for solving joint composition probability distribution function (PDF) equations. In turbulent reactive flows, phenomena of interest, such as pollutant production, soot formation or extinctions/ignitions, mainly arise from a conjunction of rare physical events and finite rate chemistry effects. Predicting these phenomena requires a precise knowledge of the statistics of the species concentrations and temperature, as well as an accurate description of chemical reactions. The chapter discusses about 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 highlighted 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.
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