title: Rapidly decorrelating velocity-field model as a tool for solving one-point Fokker-Planck equations for probability density functions of turbulent reactive scalars.
abstract: Light is shed upon Eulerian Monte Carlo methods and their application to the simulation of turbulent reactive flows. A rapid decorrelating velocity-field model is used to derive stochastic partial differential equations (SPDE's) stochastically equivalent to the modeled one-point joint probability density function of turbulent reactive scalars. Those SPDE's 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. A numerical analysis is proposed and numerical tests are carried out. In particular, a comparison with the Lagrangian Monte Carlo method is performed.
authors.affiliation: ONERA, DEFA/EFCA, Chemin de la Hunière 91761 Palaiseau Cedex, France. Vladimir.Sabelnikov@onera.fr
authors.forename: Vladimir
authors.initials: V
authors.lastname: Sabel'nikov
authors.forename: Olivier
authors.initials: O
authors.lastname: Soulard