Development of an analytical ß-function PDF integration algorithm for simulation of non-premixed turbulent combustion.

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DOIResolve DOI: http://doi.org/10.1007/s10494-008-9196-5
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TypeArticle
Journal titleFlow, Turbulence and Combustion
Volume83
Issue2
Pages205226; # of pages: 22
SubjectDesign fires/Fire modeling
AbstractAmong many presumed-shape pdf approaches for modeling non-premixed turbulent combustion, the presumed ß-function pdf is widely used in the literature. However, numerical integration of the ß-function pdf may encounter singularity difficulties at mixture fraction values of Z = 0 or 1. To date, this issue has been addressed by few publications. The present study proposes the Piecewise Integration Method (PIM), an efficient, robust and accurate algorithm to overcome these numerical difficulties with the added benefit of improving computational efficiency. Comparison of this method to the existing numerical integration methods shows that the PIM exhibits better accuracy and greatly increases computational efficiency. The PIM treatment of the ß-function pdf integration is first applied to the Burke?Schumann solution in conjunction with the k - e turbulence model to simulate a CH4/H2 bluff-body turbulent flame. The proposed new method is then applied to the same flow using a more complex combustion model, the laminar flamelet model. Numerical predictions obtained by using the proposed ß-function pdf integration method are compared to experimental values of the velocity field, temperature and species mass fractions to illustrate the efficiency and accuracy of the present method.
Publication date
LanguageEnglish
AffiliationNRC Institute for Research in Construction; National Research Council Canada
Peer reviewedYes
NRC number52629
20579
NPARC number20330644
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Record identifier12742be3-901c-4b05-9331-5e35f7886f60
Record created2012-07-18
Record modified2016-05-09
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