Abstract
In Large Eddy Simulations (LES) of turbulent flows, spatiallyaveraged versions of the NavierStokes equations are solved on a grid, which is coarse relative to the smallest turbulent length scales. In order to couple the detailed chemistry and the computed flow field in LES of reacting flows, the socalled filtered density functionbased approach for subfilterscale modelling was suggested. This approach was named as the laminar flamelet and allowed to link the complex chemistry to a single variable, i.e. mixture fraction. The mixture fraction is obtained by the solution of corresponding filtered transport equation and subgridscale (SGS) variance (the residual field) is usually modelled. The objective of this article is to present indepth analysis of filtered density functions (FDFs) by analysing experimental data obtained from twodimensional planar, laser induced fluorescence measurements in isothermal swirling coaxial turbulent jets at a constant Reynolds number of 29000. The FDFs were analysed as a function of flow swirl number, spatial locations in the flow and were linked to the measured subgrid scale variance. In addition, presumed FDFs were also analysed and associated laminar flamelet solution integration errors were evaluated. It was experimentally found that the FDFs can become unimodal when SGS variance reaches a certain value. However, bimodal FDFs were observed in flow regions with high SGS variance. It was demonstrated that bimodality does not automatically result in large errors in resolved variables when tophat FDF or FDF formulations are used. It was suggested that possible source of errors in resolved variables could be linked to the SGS variance models rather than to the presumed FDFbased models.
Original language  English 

Title of host publication  Proceedings of the 16th International Heat Transfer Conference, IHTC16 
Pages  17831790 
Number of pages  8 
DOIs  
Publication status  Published  2019 
Event  16th International Heat Transfer Conference  China National Convention Center, Beijing, China Duration: 10 Aug 2018 → 15 Aug 2018 https://www.ihtc16.org/ (Link to Conference Website) 
Publication series
Name  International Heat Transfer Conference 

ISSN (Print)  2377424X 
Conference
Conference  16th International Heat Transfer Conference 

Abbreviated title  IHTC16 
Country  China 
City  Beijing 
Period  10/08/18 → 15/08/18 
Internet address 

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Stetsyuk, V., Kubiak, K., Liu, L., & Chai, J. (2019). Some aspects of presumed filtered density functions formulation in the context of large eddy simulation of turbulent reacting flows. In Proceedings of the 16th International Heat Transfer Conference, IHTC16 (pp. 17831790). (International Heat Transfer Conference). https://doi.org/10.1615/IHTC16.cms.023612