LES/PDF for premixed combustion in the DNS limit

References

• S.B. Pope, PDF methods for turbulent reactive flows, Prog. Energy Combust. Sci. 11 (1985), pp. 119–192.
   Web of Science ®Google Scholar
• D.C. Haworth, Progress in probability density function methods for turbulent reacting flows, Prog. Energy Combust. Sci. 36 (2010), pp. 168–259.
   Web of Science ®Google Scholar
• S.B. Pope, Small scales, many species and the manifold challenges of turbulent combustion, Proc. Combust. Inst. 34 (2013), pp. 1–31.
   Web of Science ®Google Scholar
• F.A. Jaberi, P.J. Colucci, S. James, P. Givi and S.B. Pope, Filtered mass density function for large-eddy simulation of turbulent reacting flows, J. Fluid Mech. 401 (1999), pp. 85–121.
   Web of Science ®Google Scholar
• V. Raman and H. Pitsch, A consistent LES/filtered-density function formulation for the simulation of turbulent flames with detailed chemistry, Proc. Combust. Inst. 31 (2007), pp. 1711–1719.
   Web of Science ®Google Scholar
• Y. Yang, H. Wang, S.B. Pope and J.H. Chen, Large-eddy simulation/probability density function modeling of a non-premixed CO/H2 temporally evolving jet flame, Proc. Combust. Inst. 34 (2013), pp. 1241–1249.
   Web of Science ®Google Scholar
• I.A. Dodoulas and S. Navarro-Martinez, Large eddy simulation of premixed turbulent flames using the probability density function approach, Flow Turbul. Combust. 90 (2013), pp. 645–678. Available at http://dx.doi.org/10.1007/s10494-013-9446-z.
   Web of Science ®Google Scholar
• J. Kim and S.B. Pope, Effects of combined dimension reduction and tabulation on the simulations of a turbulent premixed flame using large-eddy simulation/probability density function, Combust. Theory Model. 18 (2014), pp. 388–413.
   Web of Science ®Google Scholar
• S.B. Pope and R. Tirunagari, Advances in probability density function methods for turbulent reactive flows, in Proceedings of the Nineteenth Australasian Fluid Mechanics Conference, RMIT University, Melbourne, 2014.
   Google Scholar
• R.R. Tirunagari and S.B. Pope, An investigation of turbulent premixed counterflow flames using large-eddy simulations and probability density function methods, Combust. Flame 166 (2016), pp. 229–242.
   Web of Science ®Google Scholar
• S.B. Pope, Turbulent Flows, Cambridge University Press, Cambridge, UK, 2000.
   Google Scholar
• H. Pitsch, Large-eddy simulation of turbulent combustion, Annu. Rev. Fluid. Mech. 38 (2006), pp. 453–482.
   Web of Science ®Google Scholar
• S.B. Pope, Self-conditioned fields for large-eddy simulations of turbulent flows, J. Fluid Mech. 652 (2010), pp. 139–169.
   Web of Science ®Google Scholar
• R.S. Rogallo and P. Moin, Numerical simulation of turbulent flows, Annu. Rev. Fluid. Mech. 17 (1985), pp. 99–137.
   Google Scholar
• R.O. Fox, Computational Models for Turbulent Reactive Flows, Cambridge University Press, New York, 2003.
   Google Scholar
• S.B. Pope, Ten questions concerning the large-eddy simulation of turbulent flows, New J. Phys. 6 (2004), Article No. 35. Available at http://dx.doi.org/10.1088/1367-2630/6/1/035.
   Web of Science ®Google Scholar
• K.A. Kemenov and S.B. Pope, Molecular diffusion effects in LES of a piloted methane–air flame, Combust. Flame 157 (2011), pp. 240–254.
   Web of Science ®Google Scholar
• R.S. Barlow and J.H. Frank, Effects of turbulence on species mass fraction in methane/air jet flames, Proc. Combust. Inst. 27 (1998), pp. 1087–1095.
   Google Scholar
• O.T. Stein, B. Boehm, A. Dreizler and A.M. Kempf, Highly-resolved LES and PIV analysis of isothermal turbulent opposed jets for combustion applications, Flow Turbul. Combust. 87 (2011), pp. 425–447.
   Web of Science ®Google Scholar
• A.M. Ruiz, G. Lacaze and J.C. Oefelein, Flow topologies and turbulence scales in a jet-in-cross-flow, Phys. Fluids 27 (2015), Article ID 045101. Available at http://dx.doi.org/10.1063/1.4915065.
   Web of Science ®Google Scholar
• J. Villermaux and J.C. Devillon, Représentation de la coalescence et de la redispersion des domaines de ségrégation dans un fluide par un modèle d’interaction phénoménologique, in Proceedings of the 2nd International Symposium on Chemical Reaction Engineering, 2–4 May 1972, Amsterdam. Elsevier, New York, 1972, pp. B1–B13.
   Google Scholar
• R.J. Kee, F.M. Rupley, J.A. Miller, M.E. Coltrin, J.F. Grcar, E. Meeks, H.K. Moffat, A.E. Lutz, G. Dixon-Lewis, M.D. Smooke, J. Warnatz, G.H. Evans, R.S. Larson, R.E. Mitchell, L.R. Petzold, W.C. Reynolds, M. Caracotsios, W.E. Stewart, P. Glarborg, C. Wang and O. Adigun, CHEMKIN Collection, Release 3.6, Reaction Design, San Diego, CA, 2000.
   Google Scholar
• S.B. Pope, Computations of turbulent combustion: progress and challenges, Proc. Combust. Inst. 23 (1990), pp. 591–612.
   Google Scholar
• P.J. Colucci, F.A. Jaberi, P. Givi and S.B. Pope, Filtered density function for large eddy simulation of turbulent reacting flows, Phys. Fluids 10 (1998), pp. 499–515.
   Web of Science ®Google Scholar
• R. McDermott and S.B. Pope, A particle formulation for treating differential diffusion in filtered density function methods, J. Comput. Phys. 226 (2007), pp. 947–993.
   Web of Science ®Google Scholar
• S. Viswanathan, H. Wang and S.B. Pope, Numerical implementation of mixing and molecular transport in LES/PDF studies of turbulent reacting flows, J. Comput. Phys. 230 (2011), pp. 6916–6957.
   Web of Science ®Google Scholar
• C.J. Sung, C.K. Law and J.Y. Chen, An augmented reduced mechanism for methane oxidation with comprehensive global parametric validation, Proc. Combust. Inst. 27 (1998), pp. 295–304.
   Google Scholar
• R.J. Kee, M.E. Coltrin and P. Glarborg, Chemically Reacting Flow: Theory and Practice, Wiley, Hoboken, NJ, 2003.
   Google Scholar
• O. Desjardins, G. Blanquart, G. Balarac and H. Pitsch, High order conservative finite difference scheme for variable density low Mach number turbulent flows, J. Comput. Phys. 227 (2008), pp. 7125–7159.
   Web of Science ®Google Scholar
• H. Wang and S.B. Pope, Large eddy simulation/probability density function modeling of a turbulent CH4/H2/N2 jet flame, Proc. Combust. Inst. 33 (2011), pp. 1319–1330.
   Web of Science ®Google Scholar
• S.B. Pope, A model for turbulent mixing based on shadow-position conditioning, Phys. Fluids 25 (2013), Article ID 110803. Available at http://dx.doi.org/10.1063/1.4818981.
   Web of Science ®Google Scholar
• S.B. Pope and R. Gadh, Fitting noisy data using cross-validated cubic smoothing splines, Commun. Stat. Simul. Comput. 17 (1988), pp. 349–376.
   Web of Science ®Google Scholar
• M. Muradoglu, S.B. Pope and D.A. Caughey, The hybrid method for the PDF equations of turbulent reactive flows: consistency conditions and correction algorithms, J. Comput. Phys. 172 (2001), pp. 841–878.
   Web of Science ®Google Scholar