Abstract
A rapidly decorrelating velocity field model is used to derive stochastic partial differential equations (SPDE) allowing one to compute the modeled one-point joint probability density function of turbulent reactive scalars. Those SPDEs 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. The Eulerian Monte Carlo (EMC) method thus defined is coupled with a RANS solver and applied to the computation of a turbulent premixed methane flame over a backward facing step.
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References
Carrillo, O., Ibañes, M., Garcia-Ojalvo, J., Casademunt, J., Sancho, J.M.: Intrinsinc noise-induced phase transitions: Beyond the noise interpretation. arxiv:cond-mat, Feb 2003
Gardiner, C.W.: Handbook of Stochastic Methods, 2nd edn. Springer, Berlin Heidelberg New York (1985)
Gilbank, P., Zamuner, B.: Validation du modèle peul+ sur la configuration de marche descendante. Technical Report RT 38/4386/Y, ONERA/DEFA, 1999
Kazantsev, A.P.: Enhancement of a magnetic field by a conducting fluid. Sov. Phys. JETP 26, 1031–1034 (1968)
Kraichnan, R.H.: Small-scale structure of a scalar field convected by turbulence. Phys. Fluids 11, 945–953 (1968)
Magre, P., Collin, G.: Application de la drasc à l’opération A3C. Technical Report R.T.S. ONERA 7/3608 EY, ONERA/DEFA, 1994
Pope, S.B.: Pdf methods for turbulent reactive flows. Pror. Energy Combust. Sci. 27, 119–192 (1985)
Pope, S.B.: Turbulent Flows. Cambridge Univ. Press (2000)
Sabel’nikov, V.A., Soulard, O.: Rapidly decorrelating velocity field model as a tool for solving Fokker–Planck pdf equations of turbulent reactive scalars. Phys. Rev., E 72, 016301 (2005)
Soulard, O.: Approches PDF pour la combustion turbulente : Prise en compte d'un spectre d’échelles turbulentes dans la modélisation du micromélange et élaboration d’une méthode de Monte Carlo Eulérienne. PhD thesis, Univ. Rouen, Jan. 2005
Valiño, L.: A field Monte Carlo formulation for calculating the probability density function of a single scalar in a turbulent flow. Flow Turbul. Combust. 60, 157–172 (1998)
Villermaux, J., Devillon, J.C.: Représentation de la redistribution des domaines de ségrégation dans un fluide par un modèle d’interaction phénoménologique. In: 2nd International Symposium on Chemical Reaction Engineering. Amsterdam, vol. B-1-13, 1972
Westbrook, C.K., Dryer, F.L.: Chemical kinetic modeling of hydrocarbon combustion. Prog. Energy Comb. Sci. 10, 1–57 (1984)
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Sabel’nikov, V., Soulard, O. White in Time Scalar Advection Model as a Tool for Solving Joint Composition PDF Equations. Flow Turbulence Combust 77, 333–357 (2006). https://doi.org/10.1007/s10494-006-9049-z
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DOI: https://doi.org/10.1007/s10494-006-9049-z