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Original Articles

A Monte Carlo Method for the PDF Equations of Turbulent Reactive Flow

Pages 159-174 | Published online: 02 Apr 2008

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (45)

Peter Stewart Cumber. (2023) A hybrid Monte-Carlo method applied to the calculation of view factors in cylindrical shells. Numerical Heat Transfer, Part B: Fundamentals 0:0, pages 1-22.
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Paola Breda, Eshan Sharma, Santanu De, Matthew J. Cleary & Michael Pfitzner. (2023) Coupling the Multiple Mapping Conditioning Mixing Model with Reaction-diffusion Databases in LES of Methane/air Flames. Combustion Science and Technology 195:2, pages 351-378.
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Peter S. Cumber. (2022) Predicting jet ignitability using a PDF transport model. Numerical Heat Transfer, Part A: Applications 82:10, pages 601-618.
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Federica Ferraro, Yipeng Ge, Michael Pfitzner & Matthew J. Cleary. (2021) A Fully Consistent Hybrid Les/Rans Conditional Transported Pdf Method for Non-premixed Reacting Flows. Combustion Science and Technology 193:3, pages 379-418.
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Luis Cervantes-Marcelino, William Vicente, Martin Salinas-Vazquez, Eliseo Martinez-Espinosa & Rogelio Gonzalez. (2020) Stochastic Numerical Simulation of a Turbulent Inverse Diffusion Flame Generated by a CAP-type Burner. Combustion Science and Technology 192:4, pages 657-679.
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A. Fiolitakis & C. M. Arndt. (2020) Transported PDF simulation of auto-ignition of a turbulent methane jet in a hot, vitiated coflow. Combustion Theory and Modelling 24:2, pages 326-361.
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Jeffery S. Miles & Tarek Echekki. (2020) A One-Dimensional Turbulence-Based Closure Model for Combustion LES. Combustion Science and Technology 192:1, pages 78-111.
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David Jesch, Alija Bevrnja, Francesca di Mare, Johannes Janicka & Amsini Sadiki. (2019) Large eddy simulation of a turbulent flame using tabulated chemistry with a novel multivariate PDF. International Journal of Computational Fluid Dynamics 33:5, pages 181-201.
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Yong Hu, Hernan Olguin & Eva Gutheil. (2017) A spray flamelet/progress variable approach combined with a transported joint PDF model for turbulent spray flames. Combustion Theory and Modelling 21:3, pages 575-602.
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Shuyuan Liu & Tat Leung Chan. (2017) A coupled CFD-Monte Carlo method for simulating complex aerosol dynamics in turbulent flows. Aerosol Science and Technology 51:3, pages 269-281.
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Peter S. Cumber. (2016) Micromixing model performance for nonreacting flows using a consistent Monte Carlo method. Numerical Heat Transfer, Part B: Fundamentals 70:6, pages 517-536.
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Peter S. Cumber. (2016) Application of the PDF transport model to nonreacting jets using an adaptive Monte Carlo method. Numerical Heat Transfer, Part B: Fundamentals 70:2, pages 91-110.
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Asghar Ghorbani, Gerd Steinhilber, Detlev Markus & Ulrich Maas. (2015) A PDF projection method: A pressure algorithm for stand-alone transported PDFs. Combustion Theory and Modelling 19:2, pages 188-222.
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J. Floyd, A.M. Kempf, A. Kronenburg & R.H. Ram. (2009) A simple model for the filtered density function for passive scalar combustion LES. Combustion Theory and Modelling 13:4, pages 559-588.
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Haifeng Wang & StephenB. Pope. (2008) Time-averaging strategies in the finite-volume/particle hybrid algorithm for the joint PDF equation of turbulent reactive flows. Combustion Theory and Modelling 12:3, pages 529-544.
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J. Galpin, C. Angelberger, A. Naudin & L. Vervisch. (2008) Large-eddy simulation of H2–air auto-ignition using tabulated detailed chemistry. Journal of Turbulence 9.
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P. PRASAD & S. MAHALINGAM. (2007) EXHAUST GAS RECIRCULATION EFFECTS ON HYDROGEN-AIR COMBUSTION. Combustion Science and Technology 179:6, pages 1131-1157.
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Venkatramanan Raman, Heinz Pitsch & RodneyO. Fox. (2006) Eulerian transported probability density function sub-filter model for large-eddy simulations of turbulent combustion. Combustion Theory and Modelling 10:3, pages 439-458.
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V. Sabel'nikov, M. Gorokhovski & N. Baricault. (2006) The extended IEM mixing model in the framework of the composition PDF approach: applications to diesel spray combustion. Combustion Theory and Modelling 10:1, pages 155-169.
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A.M. Baig & R.E. Milane. (2004) Vortex-In-Cell and Probability Density Function Approach for a Passive Scalar Field in a Mixing Layer. International Journal of Computational Fluid Dynamics 18:3, pages 247-263.
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WILLIAM VICENTE∗, MARTÍN SALINAS, ESTEBAN BARRIOS & CÉSAR DOPAZO. (2004) PDF MODELING OF CO AND NO FORMATION IN LEAN PREMIXED METHANE FLAMES. Combustion Science and Technology 176:4, pages 585-601.
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Heiko Schmidt & Rupert Klein. (2003) A generalized level-set/in-cell-reconstruction approach for accelerating turbulent premixed flames. Combustion Theory and Modelling 7:2, pages 243-267.
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T. Ishii, C. Zhang & Y. Hino. (2002) Numerical Study of the Performance of a Regenerative Furnace. Heat Transfer Engineering 23:4, pages 23-33.
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A. CRAIG & R.E. MILANE. (2000) On the Development of a Distributed Reaction Zones Model for Turbulent Premixed Flame of Lean Mixtures in a Closed Vessel. Combustion Science and Technology 157:1, pages 293-324.
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NORBERTO FUEYO, WILLIAM VICENTE, JAVIER BLASCO & CÉSAR DOPAZO. (2000) Stochastic Simulation of NO Formation in Lean Premixed Methane Flames. Combustion Science and Technology 153:1, pages 295-311.
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J Blasco, N Fueyo, C Dopazo & J-Y Chen. (2000) A self-organizing-map approach to chemistry representation in combustion applications. Combustion Theory and Modelling 4:1, pages 61-76.
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P. DURAND, M. GOROKHOVSKI & R. BORGHI. (1999) An Application of the Probability Density Function Model to Diesel Engine Combustion. Combustion Science and Technology 144:1-6, pages 47-78.
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J.-Y. CHEN & W.-C. CHANG. (1998) Modeling Differential Diffusion Effects in Turbulent Nonreacting/Reacting Jets with Stochastic Mixing Models. Combustion Science and Technology 133:4-6, pages 343-375.
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C. Zhang, T. Ishii & S. Sugiyama. (1997) NUMERICAL MODELING OF THE THERMAL PERFORMANCE OF REGENERATIVE SLAB REHEAT FURNACES. Numerical Heat Transfer, Part A: Applications 32:6, pages 613-631.
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W. P. JONES & M. KAKHI. (1997) Application of the Transported pdf Approach to Hydrocarbon-Air Turbulent Jet Diffusion Flames. Combustion Science and Technology 129:1-6, pages 393-430.
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G. J. SABINI, G. S. SHIEH & P. GIVI. (1996) MODELING OF THE FLUCTUATIONS AND THE FREQUENCY-SPECTRA OF REACTANTS IN TURBULENT SCALAR MIXING LAYERS. Chemical Engineering Communications 154:1, pages 147-181.
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INGER. GRAN & BJØRNF. MAGNUSSEN. (1996) A Numerical Study of a Bluff-Body Stabilized Diffusion Flame. Part 2. Influence of Combustion Modeling And Finite-Rate Chemistry. Combustion Science and Technology 119:1-6, pages 191-217.
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J.-Y. CHEN, W.-C. CHANG & M. KOSZYKOWSKI. (1995) Numerical Simulation and Scaling of NOx Emissions from Turbulent Hydrogen Jet Flames with Various Amounts of Helium Dilution. Combustion Science and Technology 110-111:1, pages 505-529.
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N. S. A. SMITH, R. W. BILGER, C. D. CARTER, R. S. BARLOW & J. -Y. CHEN. (1995) A Comparison of CMC and PDF Modelling Predictions with Experimental Nitric Oxide LIF/Raman Measurements in a Turbulent H2 Jet Flame. Combustion Science and Technology 105:4-6, pages 357-375.
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K. N. LAKSHMISHA, B. ROGG & K. N. C. BRAY. (1995) PDF Modelling of Autoignition in Nonpremixed Turbulent Flows. Combustion Science and Technology 105:4-6, pages 229-243.
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R. S. MILLER, S. H. FRANKEL, C. K. MADNIA & P. GIVI. (1993) Johnson-Edgeworth Translation for Probability Modeling of Binary Scalar Mixing in Turbulent Flows. Combustion Science and Technology 91:1-3, pages 21-52.
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J.-Y. CHEN, W. KOLLMANN & R. W. DIBBLE. (1989) Pdf Modeling of Turbulent Nonpremixed Methane Jet Flames. Combustion Science and Technology 64:4-6, pages 315-346.
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D. C. Haworth, M. C. Drake & R. J. Blint. (1988) Stretched Laminar Flamelet Modeling of a Turbulent Jet Diffusion Flame. Combustion Science and Technology 60:4-6, pages 287-318.
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M. Nikjooy, M. Nikjooy, R. M. C. So & R. E. Peck. (1988) Modelling of Jet- and Swirl-stabilized Reacting Flows in Axisymmetric Combustors. Combustion Science and Technology 58:1-3, pages 135-153.
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W. A. SIRIGNANO. (1987) Molecular Mixing in a Turbulent Flow: Some Fundamental Considerations. Combustion Science and Technology 51:4-6, pages 307-322.
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G. KOSALY. (1986) Theoretical Remarks on a Phenomenological Model of Turbulent Mixing. Combustion Science and Technology 49:5-6, pages 227-234.
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T. V. NGUYEN & S. B. POPE. (1984) Monte Carlo Calculations of Turbulent Diffusion Flames. Combustion Science and Technology 42:1-2, pages 13-45.
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P. GIVI, W. A. SIRIGNANO & S. B. POPE. (1984) Probability Calculations for Turbulent Jet Flows with Mixing and Reaction of NO and O3 . Combustion Science and Technology 37:1-2, pages 59-78.
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S. B. POPE. (1982) An Improved Turbulent Mixing Model. Combustion Science and Technology 28:3-4, pages 131-145.
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