[1] 
SUBRAMANIAM S, POPE S B. A mixing model for turbulent reactive flows based on Euclidean minimum spanning trees[J] . Combustion and Flame, 1998, 115: 487514.

[2] 
KLIMENKO A Y, POPE S B. The modeling of turbulent reactive flows based on multiple mapping conditioning[J] . Physics of Fluids, 2003, 15: 19071925.

[3] 
POPE S B. A model for turbulent mixing based on shadowposition conditioning[J] . Physics of Fluids, 2013, 25: 110803.

[4] 
GALINDO S, SALEHI F, CLEARY M J, et al. MMCLES simulations of turbulent piloted flames with varying levels of inlet inhomogeneity[J] . Proceedings of the Combustion Institute, 2017, 36: 17591766.

[5] 
SUNDARAM B, KLIMENKO A Y, CLEARY M J, et al. A direct approach to generalised multiple mapping conditioning for selected turbulent diffusion flame cases[J] . Combustion Theory and Modelling, 2016, 20(4): 735764.

[6] 
DEVAUD C B, STANKOVIC I, MERCI B. Deterministic Multiple Mapping Conditioning (MMC) applied to a turbulent flame in Large Eddy Simulation (LES)[J] . Proceedings of the Combustion Institute, 2013, 34: 12131221.

[7] 
WANDEL A P, LINDSTEDT R P. Hybrid multiple mapping conditioning modeling of local extinction[J] . Proceedings of the Combustion Institute, 2013, 34: 13651372.

[8] 
SUNDARAM B, KLIMENKO A Y, CLEARY M J, et al. Prediction of NOx in premixed highpressure lean methane flames with a MMCpartially stirred reactor[J] . Proceedings of the Combustion Institute, 2015, 35: 15171525.

[9] 
SHETTY A, CHANDY A J, FRANKEL S H. A new fractal interaction by exchange with the mean mixing model for large eddy simulation/filtered mass density function applied to a multiscalar threestream turbulent jet[J] . Physics of Fluids, 2010, 22: 025102.

[10] 
MCDERMOTT R, POPE S B. A particle formulation for treating differential diffusion in filtered density function methods[J] . Journal of Computational Physics, 2007, 226: 947993.

[11] 
MEYER D W, JENNY P. A mixing model for turbulent flows based on parameterized scalar profiles[J] . Physics of Fluids, 2006, 18: 035105.

[12] 
JABERI F A, COLUCCI P J, JAMES S, et al. Filtered mass density function for largeeddy simulation of turbulent reacting flows[J] . Journal of Fluid Mechanics, 1999, 401: 85121.

[13] 
CLEARY M J, KLIMENKO A Y. A detailed quantitative analysis of sparselagrangian filtered density function simulations in constant and variable density reacting jet flows[J] . Physics of Fluids, 2011, 23: 115102.

[14] 
CLEARY M J, KLIMENKO A Y, JANICKA J, et al. A sparselagrangian multiple mapping conditioning model for turbulent diffusion flames[J] . Proceedings of the Combustion Institute, 2009, 32: 14991507.

[15] 
VO S, STEIN O T, KRONENBURG A, et al. Assessment of mixing time scales for a sparse particle method[J] . Combustion and Flame, 2017, 179: 280299.

[16] 
GE Y, CLEARY M J, KLIMENKO A Y. Sparselagrangian FDF simulations of sandia flame E with density coupling[J] . Proceedings of the Combustion Institute, 2011, 33: 14011409.

[17] 
BARLOW R S, FRANK J H, KARPETIS A N, et al. Piloted methane/air jet flames: transport effects and aspects of scalar structure[J] . Combustion and Flame, 2005, 143: 433449.

[18] 
MENEVEAU C, LUND T S, CABOT W H. A Lagrangian dynamic subgridscale model of turbulence[J] . Journal of Fluid Mechanics, 1996, 319: 353385.

[19] 
MURADOGLU M, POPE S P, CAUGHEY D A. The hybrid method for the PDF equations of turbulent reactive flows: consistency conditions and correction algorithms[J] . Journal of Computational Physics, 2001, 172: 841878.

[20] 
RAMAN V, PITSCH H. A consistent LES/filtereddensity function formulation for the simulation of turbulent flames with detailed chemistry[J] . Proceedings of the Combustion Institute, 2007, 31: 17111719.

[21] 
RAMAN V, PITSCH H. Hybrid largeeddy simulation/Lagrangian filtereddensityfunction approach for simulating turbulent combustion[J] . Combustion and Flame, 2005, 143: 5678.

[22] 
POPOV P P, WANG H, POPE S P. Specific volume coupling and convergence properties in hybrid particle/finite volume algorithms for turbulent reactive flows[J]. Journal of Computational Physics, 2015, 294: 110126.

[23] 
BARLOW R S, FRANK J H. Effects of turbulence on species mass fractions in methane/air jet flames[J] . Symposium (International) on Combustion, 1998, 27: 10871095.

[24] 
ANKARAN R S, HAWKES E R, CHEN J H, et al. Structure of a spatially developing turbulent lean methaneair Bunsen flame[J] . Proceedings of the Combustion Institute, 2007, 31: 12911298.

[25] 
BROWN P N, BYRNE G D, HINDMARSH A C. VODE: a variable coefficient ODE solver[J] . SIAM Journal on Scientific and Statistical Computing, 1989, 10: 10381051.

[1] 
SUBRAMANIAM S, POPE S B. A mixing model for turbulent reactive flows based on Euclidean minimum spanning trees[J] . Combustion and Flame, 1998, 115: 487514.

[2] 
KLIMENKO A Y, POPE S B. The modeling of turbulent reactive flows based on multiple mapping conditioning[J] . Physics of Fluids, 2003, 15: 19071925.

[3] 
POPE S B. A model for turbulent mixing based on shadowposition conditioning[J] . Physics of Fluids, 2013, 25: 110803.

[4] 
GALINDO S, SALEHI F, CLEARY M J, et al. MMCLES simulations of turbulent piloted flames with varying levels of inlet inhomogeneity[J] . Proceedings of the Combustion Institute, 2017, 36: 17591766.

[5] 
SUNDARAM B, KLIMENKO A Y, CLEARY M J, et al. A direct approach to generalised multiple mapping conditioning for selected turbulent diffusion flame cases[J] . Combustion Theory and Modelling, 2016, 20(4): 735764.

[6] 
DEVAUD C B, STANKOVIC I, MERCI B. Deterministic Multiple Mapping Conditioning (MMC) applied to a turbulent flame in Large Eddy Simulation (LES)[J] . Proceedings of the Combustion Institute, 2013, 34: 12131221.

[7] 
WANDEL A P, LINDSTEDT R P. Hybrid multiple mapping conditioning modeling of local extinction[J] . Proceedings of the Combustion Institute, 2013, 34: 13651372.

[8] 
SUNDARAM B, KLIMENKO A Y, CLEARY M J, et al. Prediction of NOx in premixed highpressure lean methane flames with a MMCpartially stirred reactor[J] . Proceedings of the Combustion Institute, 2015, 35: 15171525.

[9] 
SHETTY A, CHANDY A J, FRANKEL S H. A new fractal interaction by exchange with the mean mixing model for large eddy simulation/filtered mass density function applied to a multiscalar threestream turbulent jet[J] . Physics of Fluids, 2010, 22: 025102.

[10] 
MCDERMOTT R, POPE S B. A particle formulation for treating differential diffusion in filtered density function methods[J] . Journal of Computational Physics, 2007, 226: 947993.

[11] 
MEYER D W, JENNY P. A mixing model for turbulent flows based on parameterized scalar profiles[J] . Physics of Fluids, 2006, 18: 035105.

[12] 
JABERI F A, COLUCCI P J, JAMES S, et al. Filtered mass density function for largeeddy simulation of turbulent reacting flows[J] . Journal of Fluid Mechanics, 1999, 401: 85121.

[13] 
CLEARY M J, KLIMENKO A Y. A detailed quantitative analysis of sparselagrangian filtered density function simulations in constant and variable density reacting jet flows[J] . Physics of Fluids, 2011, 23: 115102.

[14] 
CLEARY M J, KLIMENKO A Y, JANICKA J, et al. A sparselagrangian multiple mapping conditioning model for turbulent diffusion flames[J] . Proceedings of the Combustion Institute, 2009, 32: 14991507.

[15] 
VO S, STEIN O T, KRONENBURG A, et al. Assessment of mixing time scales for a sparse particle method[J] . Combustion and Flame, 2017, 179: 280299.

[16] 
GE Y, CLEARY M J, KLIMENKO A Y. Sparselagrangian FDF simulations of sandia flame E with density coupling[J] . Proceedings of the Combustion Institute, 2011, 33: 14011409.

[17] 
BARLOW R S, FRANK J H, KARPETIS A N, et al. Piloted methane/air jet flames: transport effects and aspects of scalar structure[J] . Combustion and Flame, 2005, 143: 433449.

[18] 
MENEVEAU C, LUND T S, CABOT W H. A Lagrangian dynamic subgridscale model of turbulence[J] . Journal of Fluid Mechanics, 1996, 319: 353385.

[19] 
MURADOGLU M, POPE S P, CAUGHEY D A. The hybrid method for the PDF equations of turbulent reactive flows: consistency conditions and correction algorithms[J] . Journal of Computational Physics, 2001, 172: 841878.

[20] 
RAMAN V, PITSCH H. A consistent LES/filtereddensity function formulation for the simulation of turbulent flames with detailed chemistry[J] . Proceedings of the Combustion Institute, 2007, 31: 17111719.

[21] 
RAMAN V, PITSCH H. Hybrid largeeddy simulation/Lagrangian filtereddensityfunction approach for simulating turbulent combustion[J] . Combustion and Flame, 2005, 143: 5678.

[22] 
POPOV P P, WANG H, POPE S P. Specific volume coupling and convergence properties in hybrid particle/finite volume algorithms for turbulent reactive flows[J]. Journal of Computational Physics, 2015, 294: 110126.

[23] 
BARLOW R S, FRANK J H. Effects of turbulence on species mass fractions in methane/air jet flames[J] . Symposium (International) on Combustion, 1998, 27: 10871095.

[24] 
ANKARAN R S, HAWKES E R, CHEN J H, et al. Structure of a spatially developing turbulent lean methaneair Bunsen flame[J] . Proceedings of the Combustion Institute, 2007, 31: 12911298.

[25] 
BROWN P N, BYRNE G D, HINDMARSH A C. VODE: a variable coefficient ODE solver[J] . SIAM Journal on Scientific and Statistical Computing, 1989, 10: 10381051.
