The objective of the present work is to extend the probability density
function (PDF) turbulence model to compressible reacting flows. The p
robability density function of the species mass fractions and enthalpy
are obtained by solving a PDF evolution equation using a Monte Carlo
scheme. The PDF solution procedure is coupled with a compressible fini
te-volume flow solver which provides the velocity and pressure fields.
A modeled PDF equation for compressible flows, capable of treating fl
ows with shock waves and suitable to the present coupling scheme, is p
roposed and tested. Convergence of the combined finite-volume Monte Ca
rlo solution procedure is discussed. Two supersonic diffusion flames a
re studied using the proposed PDF model and the results are compared w
ith experimental data; marked improvements over solutions without PDF
are observed.