Consistent Behavior of Eulerian Monte Carlo fields at Low Reynolds Numbers

Luis Valiño, Radu Mustata, Khaled Letaief

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)503-512
Number of pages10
JournalFlow, Turbulence and Combustion
Volume96
Issue number2
DOIs
Publication statusPublished - 1 Mar 2016

Fingerprint

low Reynolds number
Monte Carlo method
Reynolds number
Monte Carlo methods
probability density functions
Probability density function
convection-diffusion equation
formulations
molecular diffusion
turbulent flow
Turbulent flow
gradients

Keywords

  • Monte Carlo
  • Partial stochastic differential equations
  • PDF
  • Turbulent combustion

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Physics and Astronomy(all)
  • Chemical Engineering(all)

Cite this

Consistent Behavior of Eulerian Monte Carlo fields at Low Reynolds Numbers. / Valiño, Luis; Mustata, Radu; Letaief, Khaled.

In: Flow, Turbulence and Combustion, Vol. 96, No. 2, 01.03.2016, p. 503-512.

Research output: Contribution to journalArticle

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