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

From National Research Council Canada

DOIResolve DOI: https://doi.org/10.1007/s10494-008-9196-5
AuthorSearch for: ; Search for: ; Search for: ; Search for: 1
Affiliation
  1. National Research Council of Canada. NRC Institute for Research in Construction
FormatText, Article
SubjectDesign fires/Fire modeling
Abstract
Among 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
In
  • Flow, Turbulence and Combustion 83, no. 2 (1 September 2009): 205–226.
LanguageEnglish
Peer reviewedYes
NRC numberNRCC 52629
NRC-IRC-20579
NPARC number20330644
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Record identifier12742be3-901c-4b05-9331-5e35f7886f60
Record created2012-07-18
Record modified2020-04-16
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