Consistent Behavior of Eulerian Monte Carlo fields at Low Reynolds Numbers

A slightly different version of the Eulerian Monte Carlo method (EMC) (Valiño, Flow Turbul. Combust. 60 , 157–172, ( 1998 )) is presented in this paper. The EMC method is an effective stochastic numerical approach to solve the Probability Density Function (PDF) of reacting species in turbulent flows. In contrast with the original formulation, the spurious Wiener term associated with the molecular diffusion is removed, by splitting the micro-mixing into mean gradient and fluctuating contributions. The evolution of the EMC fields representing the PDF in the proposed formulation is then consistent in the laminar limit: the EMC fields follow the same standard convection-diffusion equation, without any stochastic terms.