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A PDF method for HCCI combustion modeling : CPU timeoptimization through a restricted initial distribution

Published online by Cambridge University Press:  16 November 2012

Pierre-Lin Pommier ,
Fadila Maroteaux  and
Michel Sorine
Pierre-Lin Pommier
Affiliation:
Universitéde Versailles-Saint-Quentin-en-Yvelines, Laboratoire LISV, 10-12 avenue de l’Europe, 78140 Vélizy, France
Fadila Maroteaux*
Affiliation:
Universitéde Versailles-Saint-Quentin-en-Yvelines, Laboratoire LISV, 10-12 avenue de l’Europe, 78140 Vélizy, France
Michel Sorine
Affiliation:
INRIA Rocquencourt, Domaine de Voluceau, 78153 Le Chesnay Cedex, France
*
a Corresponding author:[email protected]
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Abstract

Probability Density Function (PDF) is often selected to couple chemistry with turbulencefor complex reactive flows since complex reactions can be treated without modelingassumptions. This paper describes an investigation into the use of the particlesapproximation of this transport equation approach applied to Homogeneous ChargeCompression Ignition (HCCI) combustion. The model used here is an IEM (Interaction byExchange with the Mean) model to describe the micromixing. Therefore, the fluid within thecombustion chamber is represented by a number of computational particles. Each particleevolves function of the rate of change due to the chemical reaction term and the mixingterm. The chemical reaction term is calculated using a reduced mechanism of n-heptaneoxidation with 25 species and 25 reactions developed previously. The parametric study witha variation of the number of particles from 50 up to 104 has been investigatedfor three initial distributions. The numerical experiments have shown that the hatdistribution is not appropriate and the normal and lognormal distributions give the sametrends. As expected when the number of particles increases for homogenous mixture (i.e.high turbulence intensity), the in-cylinder pressure evolution tends towards thehomogeneous curve. For both homogeneous and inhomogeneous (i.e. low turbulence intensity)cases, we have found that 200 particles are sufficient to model correctly the system, witha CPU time of a few minutes when a restriction of initial distribution is adopted.

Keywords

HCCI combustionIEM modelPDF methodCPU time
Type
Research Article
Information
Mechanics & Industry , Volume 13 , Issue 3 , 2012 , pp. 219 - 228
Copyright
© AFM, EDP Sciences 2012

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