Scalar Filtered Density Function for Large Eddy Simulation of a Bunsen Burner

Large Eddy Simulation of Premixed Turbulent Flames Using the Probability Density Function Approach

“…The most stretched flame, denoted F1, is located at the borderline to the well stirred reactor regime while the less stretched F3 flame is located in the thin reaction zone regime, close to the borderline of the flamelet regime [54]. This set of flames has been widely studied in the literature, and RANS simulations of all F1-F3 flames have been reported [24,25,[55][56][57][58][59][60], however to the authors' knowledge only three LES simulations have been reported [11,31,82] and mostly on the lower Reynolds number flame F3. The three flames are generated with the same burner.…”

“…Numerous other RANS-PDF studies also suggest that the micro-mixing model plays a very important role and conventional closures can lead to relatively inaccurate results [25][26][27][28]. References [30] and [31] applied the LES-PDF methodology (using different formulations) successfully to a premixed flame using conventional closures derived from non-premixed combustion. It can be argued that in LES-PDF the improvement of large scale mixing allows the use of conventional closures that reproduce well high Reynolds turbulent flames.…”

Methods for Prediction of High-Speed Reacting Flows in Aerospace Propulsion

“…The idea of using the PDF in LES simulations was advanced by Givi [158], but it was the formal definition of FDF by Pope [159] that provided the mathematical foundation of LES/FDF. Following this significant advancement, a number of successes occurred in the development of the LES/FDF method [160][161][162][163]. Analogous to the construction of a PDF of specific flow variables, the FDF can consider different flow variables in the context of either incompressible or compressible flow.…”

Large Eddy Simulation of Premixed Combustion: Sensitivity to Subgrid Scale Velocity Modeling

“…A small velocity of 0.2 m/s is assigned to the coflowing air to mimic the air entrainment and a 25% change to this velocity is observed to influence the LES statistics negligibly. The pilot temperature is unspecified in the experimental study and values ranging from 1785 to 2248 K were used in past studies (Amzin et al, 2012;De and Acharya, 2009;Dodoulas and Navarro-Martinez, 2013;Herrmann, 2006;Kolla and Swaminathan, 2010b;Lindstedt and Vaos, 2006;Pitsch and de Lagneste, 2002;Prasad and Gore, 1999;Salehi and Bushe, 2010;Salehi et al, 2012;Heinz, 2008, 2010;Wang et al, 2011;Yilmaz et al, 2010) suggesting that the heat loss to the pilot burner varies from 0 (De and Acharya, 2009) to 34% (Dodoulas and Navarro-Martinez, 2013;Lindstedt and Vaos, 2006). A value of 17% was used by Herrmann (2006) and 20% heat loss was assumed by Pitsch and de Lagneste (2002) and Wang et al (2011).…”

“…Three piloted stoichiometric methane-air Bunsen flames of Chen et al (1996) considered in many past RANS (Amzin et al, 2012;Herrmann, 2006;Kolla and Swaminathan, 2010b;Lindstedt and Vaos, 2006;Prasad and Gore, 1999;Salehi and Bushe, 2010;Salehi et al, 2012;Heinz, 2008, 2010) and LES (De and Acharya, 2009;Dodoulas and Navarro-Martinez, 2013;Langella et al, 2015;Pitsch and de Lagneste, 2002;Wang et al, 2011;Yilmaz et al, 2010) studies are chosen for this investigation. The reactant jet with a diameter of D = 12 mm issues into quiescent air and the flame is stabilized by laminar pilot flames of the same mixture.…”