Abstract
A combined probability density function (PDF) /moment method has been developed to improve the accuracy of the Monte-Carlo method which is employed to simulate the evolution of PDFs in the PDF approach. The accuracy of Monte-Carlo method depends strongly on the number of Monte-Carlo particles and declines with the decrease in the PDF transport probability. The present method solves simultaneously a modeled PDF transport equation and moment equations of mean and variance. Both the mean and variance values obtained from the moment equations are just used as the reference values to match to the corresponding values of PDFs. In the frame of the conserved scalar concept, the usefulness of the present method is evaluated in the configuration of a turbulent jet diffusion flame, with a comparison with other methods; the PDF method and the flamelet model method. The results have showed good agreement between the present PDF method and the flamelet method, highlighting the improvement from the PDF method. Especially, the agreement in terms of PDF shape has verified that the beta function approximation in the flamelet model has high accuracy.
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