Different conditional source-term estimation formulations applied to turbulent nonpremixed jet flames with varying levels of extinction

References

• A. Giusti and E. Mastorakos, Turbulent combustion modelling and experiments: recent trends and developments, Flow Turbul. Combust 103 (2019), pp. 847–869.
   Web of Science ®Google Scholar
• T. Echekki and E. Mastorakos, Turbulent combustion modeling: advances, new trends and perspectives, Vol. 95, Springer Dordrecht, Heidelberg, 2011.
   Google Scholar
• W. Bushe and H. Steiner, Conditional moment closure for large eddy simulation of nonpremixed turbulent reacting flows, Phys. Fluids 11 (1999), pp. 1896–1906.
   Web of Science ®Google Scholar
• A. Klimenko and R. Bilger, Conditional moment closure for turbulent combustion, Prog. Energy Combust. Sci. 25 (1999), pp. 595–687.
   Web of Science ®Google Scholar
• A. Klimenko and S. Pope, The modeling of turbulent reactive flows based on multiple mapping conditioning, Phys. Fluids 15 (2003), pp. 1907–1925.
   Web of Science ®Google Scholar
• W. Bushe, Spatial gradients of conditional averages in turbulent flames, Combust. Flame 192 (2018), pp. 314–339.
   Web of Science ®Google Scholar
• J. Huang and W. Bushe, Simulation of transient turbulent methane jet ignition and combustion under engine-relevant conditions using conditional source-term estimation with detailed chemistry, Combust. Theor. Model. 11 (2007), pp. 977–1008.
   Web of Science ®Google Scholar
• R. Grout, W. Bushe, and C. Blair, Predicting the ignition delay of turbulent methane jets using conditional source-term estimation, Combust. Theor. Model. 11 (2007), pp. 1009–1028.
   Web of Science ®Google Scholar
• J. Labahn and C. Devaud, Investigation of conditional source-term estimation applied to a non-premixed turbulent flame, Combust. Theor. Model. 17 (2013), pp. 960–982.
   Web of Science ®Google Scholar
• S. Lee and C. Devaud, Application of conditional source-term estimation to two turbulent non-premixed methanol flames, Combust. Theor. Model. 20 (2016), pp. 765–797.
   Web of Science ®Google Scholar
• S. Ashrafizadeh and C. Devaud, Investigation of conditional source-term estimation coupled with a semi-empirical model for soot predictions in two turbulent flames, Combust. Theor. Model. 26 (2022), pp. 856–878.
   Web of Science ®Google Scholar
• B. Jin, R. Grout, and W.K. Bushe, Conditional source-term estimation as a method for chemical closure in premixed turbulent reacting flow, Flow Turbul. Combust. 81 (2008), pp. 563–582.
   Web of Science ®Google Scholar
• M. Salehi, W. Bushe, and K. Daun, Application of the conditional source-term estimation model for turbulence–chemistry interactions in a premixed flame, Combust. Theor. Model. 16 (2012), pp. 301–320.
   Web of Science ®Google Scholar
• D. Dovizio, M. Salehi, and C. Devaud, RANS simulation of a turbulent premixed bluff body flame using conditional source-term estimation, Combust. Theor. Model. 17 (2013), pp. 935–959.
   Web of Science ®Google Scholar
• D. Dovizio, A. Debbagh, and C. Devaud, RANS simulations of a series of turbulent V-shaped flames using conditional source-term estimation, Flow, Turb. Combust. 96 (2016), pp. 891–919.
   Web of Science ®Google Scholar
• N. Shahbazian, M. Salehi, C. Groth, Ö. Gülder, and W. Bushe, Performance of conditional source-term estimation model for LES of turbulent premixed flames in thin reaction zones regime, Proc. Combust. Inst. 35 (2015), pp. 1367–1375.
   Web of Science ®Google Scholar
• A. Hussien and C. Devaud, Simulations of turbulent acetone spray flames using the conditional source term estimation (CSE) approach, Combust. Theor. Model. 25 (2020), pp. 269–292.
   Web of Science ®Google Scholar
• A. Hussien and C. Devaud, Simulations of partially premixed turbulent ethanol spray flames using doubly conditional source term estimation (DCSE), Combust. Flame 239 (2022), p. 111651.
   Web of Science ®Google Scholar
• A. Hussien and C. Devaud, LES study of turbulent ethanol spray flames using CSE coupled with non-adiabatic chemistry tables, Proc. Combust. Inst. 39 (2023), pp. 2379–2388.
   Web of Science ®Google Scholar
• J. Labahn, D. Dovizio, and C. Devaud, Numerical simulation of the delft-jet-in-hot-coflow (DJHC) flame using conditional source-term estimation, Proc. Combust. Inst. 35 (2015), pp. 3547–3555.
   Web of Science ®Google Scholar
• D. Dovizio, J. Labahn, and C. Devaud, Doubly conditional source-term estimation (DCSE) applied to a series of lifted turbulent jet flames in cold air, Combust. Flame 162 (2015), pp. 1976–1986.
   Web of Science ®Google Scholar
• M. Mortada and C. Devaud, Large Eddy simulation of lifted turbulent flame in cold air using doubly conditional source-term estimation, Combust. Flame 208 (2019), pp. 420–435.
   Web of Science ®Google Scholar
• X. Fang, R. Ismail, K. Bushe, and M. Davy, Simulation of ECN diesel spray A using conditional source-term estimation, Combust. Theor. Model. 24 (2020), pp. 725–760.
   Web of Science ®Google Scholar
• J. Labahn and C. Devaud, Species and temperature predictions in a semi-industrial MILD furnace using a non-adiabatic conditional source-term estimation formulation, Combust. Theor. Model. 21 (2017), pp. 466–486.
   Web of Science ®Google Scholar
• J. Labahn, C. Devaud, T. Sipkens, and K. Daun, Inverse analysis and regularisation in conditional source-term estimation modelling, Combust. Theor. Model. 18 (2014), pp. 474–499.
   Web of Science ®Google Scholar
• H. Tsui and W. Bushe, Conditional source-term estimation using dynamic ensemble selection and parallel iterative solution, Combust. Theor. Model. 20 (2016), pp. 812–833.
   Web of Science ®Google Scholar
• W. Bushe, C. Devaud, and J. Bellan, A priori evaluation of the double-conditioned conditional source-term estimation model for high-pressure heptane turbulent combustion using DNS data obtained with one-step chemistry, Combust. Flame 217 (2020), pp. 131–151.
   Web of Science ®Google Scholar
• A. Mahdipour and M. Salehi, Localized conditional source-term estimation model for turbulent combustion, Combust. Flame 235 (2022), p. 111715.
   Web of Science ®Google Scholar
• R. Barlow, J. Frank, A. Karpetis, and J.Y. Chen, Piloted methane/air jet flames: transport effects and aspects of scalar structure, Combust. Flame 143 (2005), pp. 433–449.
   Web of Science ®Google Scholar
• R. Barlow and J. Frank, Effects of turbulence on species mass fractions in methane/air jet flames, Proc. Combust. Inst. 27 (1998), pp. 1087–1095.
   Google Scholar
• D. Lysenko, I. Ertesvåg, and K. Rian, Numerical simulations of the sandia flame D using the eddy dissipation concept, Flow Turbul. Combust. 93 (2014), pp. 665–687.
   Web of Science ®Google Scholar
• G. Hendra and W. Bushe, The uniform conditional state model for turbulent reacting flows, Combust. Flame 205 (2019), pp. 484–505.
   Web of Science ®Google Scholar
• J. Labahn, I. Stanković, C. Devaud, and B. Merci, Comparative study between conditional moment closure (CMC) and conditional source-term estimation (CSE) applied to piloted jet flames, Combust. Flame 181 (2017), pp. 172–187.
   Web of Science ®Google Scholar
• C. Straub, S. De, A. Kronenburg, and K. Vogiatzaki, The effect of timescale variation in multiple mapping conditioning mixing of PDF calculations for Sandia Flame series D–F, Combust. Theor. Model. 20 (2016), pp. 894–912.
   Web of Science ®Google Scholar
• F. Ferraro, Y. Ge, M. Pfitzner, and M. Cleary, A fully consistent hybrid LES/RANS conditional transported PDF method for non-premixed reacting flows, Combust. Sci. Technol. 193 (2021), pp. 379–418.
   Web of Science ®Google Scholar
• M. Roomina and R. Bilger, Conditional moment closure (CMC) predictions of a turbulent methane-air jet flame, Combust. Flame 125 (2001), pp. 1176–1195.
   Web of Science ®Google Scholar
• A. Garmory and E. Mastorakos, Capturing localized extinction in Sandia Flame F with LES-CMC, Proc. Combust. Inst 33 (2011), pp. 1673–1680.
   Web of Science ®Google Scholar
• K. Han and K. Huh, Conditional moment closure method with tabulated chemistry in adiabatic turbulent nonpremixed jet flames, Combust. Flame 234 (2021), p. 111652.
   Web of Science ®Google Scholar
• K. Vogiatzaki, S. Navarro-Martinez, S. De, and A. Kronenburg, Mixing modelling framework based on multiple mapping conditioning for the prediction of turbulent flame extinction, Flow Turbul. Combust. 95 (2015), pp. 501–517.
   Web of Science ®Google Scholar
• S. Pope and U. Maas, Simplifying chemical kinetics: trajectory-generated low-dimensional manifolds, Report No. FDA, Mechanical and Aerospace Engineering Report, Ithaca, NY (1993), pp. 93–11.
   Google Scholar
• J. van Oijen, A. Donini, R. Bastiaans, J. ten Thije Boonkkamp, and L. de Goey, State-of-the-art in premixed combustion modeling using flamelet generated manifolds, Prog. Energy Combust. Sci. 57 (2016), pp. 30–74.
   Web of Science ®Google Scholar
• A. Tikhonov, Solution of incorrectly formulated problems and the regularization method, Soviet Math. Dokl (1963), pp. 1035–1038.
   Google Scholar
• B. Mandal and S. Bhattacharya, Numerical solution of some classes of integral equations using bernstein polynomials, Appl. Math. Comput. 190 (2007), pp. 1707–1716.
   Web of Science ®Google Scholar
• A. Chatzopoulos and S. Rigopoulos, A chemistry tabulation approach via rate-controlled constrained equilibrium (RCCE) and Artificial Neural Networks (ANNs), with application to turbulent non-premixed CH4/H2/N2 flames, Proc. Combust. Inst. 34 (2013), pp. 1465–1473.
   Web of Science ®Google Scholar
• M. Ihme and H. Pitsch, Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model: 2. Application in LES of Sandia flames D and E, Combust. Flame 155 (2008), pp. 90–107.
   Web of Science ®Google Scholar
• V. Jaganath and M. Stoellinger, Transported and presumed probability density function modeling of the Sandia flames with flamelet generated manifold chemistry, Phys. Fluids 33 (2021), p. 045123.
   Web of Science ®Google Scholar
• S. Navarro-Martinez and S. Rigopoulos, Large eddy simulation of a turbulent lifted flame using conditional moment closure and rate-controlled constrained equilibrium, Flow Turbul. Combust. 87 (2011), pp. 407–423.
   Web of Science ®Google Scholar
• C. Pierce and P. Moin, Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion, J. Fluid Mech. 504 (2004), pp. 73–97.
   Web of Science ®Google Scholar
• X. Wen, X. Bai, K. Luo, H. Wang, Y. Luo, and J. Fan, A generalized flamelet tabulation method for partially premixed combustion, Combust. Flame 198 (2018), pp. 54–68.
   Web of Science ®Google Scholar
• T. Poinsot and D. Veynante, Theoretical and numerical combustion, R.T. Edwards Inc., Philadelphia, 2005.
   Google Scholar
• W. Grosshandler, RADCAL: a narrow-band model for radiation calculations in a combustion environment, NIST Technical Note, National Institute of Standards and Technology, Building and Fire Research Laboratory, 1993.
   Google Scholar
• International Workshop on Measurement and Computation of Turbulent Flames, https://tnfworkshop.org/radiation. Accessed: 2022-10-08.
   Google Scholar
• J. Frank, R. Barlow, and C. Lundquist, Radiation and nitric oxide formation in turbulent non-premixed jet flames, Proc. Combust. Inst. 28 (2000), pp. 447–454.
   Web of Science ®Google Scholar
• OpenFOAM, (the open source cfd toolbox), https://www.openfoam.org.
   Google Scholar
• G. Guennebaud and B. Jacob, Eigen v3, http://eigen.tuxfamily.org, 2010.
   Google Scholar