Transported PDF Modeling of Compressible Turbulent Reactive Flows by using the Eulerian Monte Carlo Fields Method

Pant, Tejas; Jain, Utsav; Wang, Haifeng

doi:10.1016/j.jcp.2020.109899

Title: Transported PDF Modeling of Compressible Turbulent Reactive Flows by using the Eulerian Monte Carlo Fields Method

Journal Article · Wed Oct 07 00:00:00 EDT 2020 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2020.109899· OSTI ID:1678684

Pant, Tejas ^[1]; Jain, Utsav ^[1];

^[1]

Purdue Univ., West Lafayette, IN (United States)

Although the transported probability density function (PDF) method has been developed for decades, its application has been mainly focused on the low-Mach number flow problems. This work extends the transported PDF method to compressible flow problems. The Eulerian Monte Carlo fields (EMCF) solution method is employed to solve the transported PDF equation for compressible flow problems. A pseudo stagnation enthalpy is introduced and its stochastic partial differential equation is derived to ensure total energy conservation numerically. A new mixing model called interaction by partial exchange with mean (IPEM) is introduced to expand the available choices of mixing models for the EMCF method. The consistency of the EMCF method is examined for solving the transported PDF equation. Numerical implementation details are discussed, such as the density coupling between the compressible flow solver and the EMCF solver, discretization schemes for the mixing terms and the stochastic terms. The implemented compressible flow solver coupled with the EMCF solver is verified and validated in a series of test cases with increasing level of complexity, ranging from a statistically one-dimensional turbulent mixing layer to a self-excited resonance model rocket combustor. It is observed that in general with the increase of compressibility, there is an increase in the sensitivity of the modeling results to the different models and algorithms. This makes it necessary to develop a thorough understanding of the model sensitivity in order to develop a robust and accurate simulation solver for highly compressible turbulent reactive flows. The thermo-acoustic instability inside the model rocket combustor case is captured reasonably, which demonstrates the overall capability of the developed compressible turbulent combustion solver based on the transported PDF method.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Energy Efficiency and Renewable Energy (EERE), Transportation Office. Vehicle Technologies Office; USDOE

Grant/Contract Number:: EE0008876

OSTI ID:: 1678684

Alternate ID(s):: OSTI ID: 1775915

Journal Information:: Journal of Computational Physics, Vol. 425; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (88)

Assessment of Numerical Accuracy of PDF/Monte Carlo Methods for Turbulent Reacting Flows Xu, J.; Pope, S. B. Journal of Computational Physics, Vol. 152, Issue 1 https://doi.org/10.1006/jcph.1999.6241	journal	June 1999
Lifted methane–air jet flames in a vitiated coflow Cabra, R.; Chen, J.; Dibble, R. Combustion and Flame, Vol. 143, Issue 4 https://doi.org/10.1016/j.combustflame.2005.08.019	journal	December 2005
Conditional moment closure for turbulent combustion Klimenko, A. Y.; Bilger, R. W. Progress in Energy and Combustion Science, Vol. 25, Issue 6 https://doi.org/10.1016/S0360-1285(99)00006-4	journal	December 1999
Calculations of subsonic and supersonic turbulent reacting mixing layers using probability density function methods Delarue, B. J.; Pope, S. B. Physics of Fluids, Vol. 10, Issue 2 https://doi.org/10.1063/1.869536	journal	February 1998
Compressible Scalar Filtered Mass Density Function Model for High-Speed Turbulent Flows Banaeizadeh, Araz; Li, Zhaorui; Jaberi, Farhad A. AIAA Journal, Vol. 49, Issue 10 https://doi.org/10.2514/1.J050779	journal	October 2011
Large-eddy simulations of turbulent flows in internal combustion engines Banaeizadeh, A.; Afshari, A.; Schock, H. International Journal of Heat and Mass Transfer, Vol. 60 https://doi.org/10.1016/j.ijheatmasstransfer.2012.12.065	journal	May 2013
Turbulent jet ignition assisted combustion in a rapid compression machine Validi, AbdoulAhad; Schock, Harold; Jaberi, Farhad Combustion and Flame, Vol. 186 https://doi.org/10.1016/j.combustflame.2017.07.032	journal	December 2017
Continuous Markov processes and stochastic equations Maruyama, Gisiro Rendiconti del Circolo Matematico di Palermo, Vol. 4, Issue 1 https://doi.org/10.1007/BF02846028	journal	January 1955
A quadrature-based LES/transported probability density function approach for modeling supersonic combustion Koo, Heeseok; Donde, Pratik; Raman, Venkat Proceedings of the Combustion Institute, Vol. 33, Issue 2 https://doi.org/10.1016/j.proci.2010.07.058	journal	January 2011
A probability density function Eulerian Monte Carlo field method for large eddy simulations: Application to a turbulent piloted methane/air diffusion flame (Sandia D) Mustata, Radu; Valiño, Luis; Jiménez, Carmen Combustion and Flame, Vol. 145, Issue 1-2 https://doi.org/10.1016/j.combustflame.2005.12.002	journal	April 2006
Lagrangian transported MDF methods for compressible high speed flows Gerlinger, Peter Journal of Computational Physics, Vol. 339 https://doi.org/10.1016/j.jcp.2017.02.049	journal	June 2017
A Hybrid Algorithm for the Joint PDF Equation of Turbulent Reactive Flows Jenny, P.; Pope, S. B.; Muradoglu, M. Journal of Computational Physics, Vol. 166, Issue 2 https://doi.org/10.1006/jcph.2000.6646	journal	January 2001
Eulerian transported probability density function sub-filter model for large-eddy simulations of turbulent combustion Raman, Venkatramanan; Pitsch, Heinz; Fox, Rodney O. Combustion Theory and Modelling, Vol. 10, Issue 3 https://doi.org/10.1080/13647830500460474	journal	June 2006
The Hybrid Method for the PDF Equations of Turbulent Reactive Flows: Consistency Conditions and Correction Algorithms Muradoglu, Metin; Pope, Stephen B.; Caughey, David A. Journal of Computational Physics, Vol. 172, Issue 2 https://doi.org/10.1006/jcph.2001.6861	journal	September 2001
Linear eddy modeling of turbulent combustion McMurtry, P. A.; Menon, S.; Kerstein, A. R. Energy & Fuels, Vol. 7, Issue 6 https://doi.org/10.1021/ef00042a018	journal	November 1993
Scalar measurements in compressible axisymmetric mixing layers Clemens, N. T.; Paul, P. H. Physics of Fluids, Vol. 7, Issue 5 https://doi.org/10.1063/1.868761	journal	May 1995
Experimental and numerical analysis of a lean premixed stratified burner using 1D Raman/Rayleigh scattering and large eddy simulation Kuenne, Guido; Seffrin, Florian; Fuest, Frederik Combustion and Flame, Vol. 159, Issue 8 https://doi.org/10.1016/j.combustflame.2012.02.010	journal	August 2012
Effects of fuel cetane number on the structure of diesel spray combustion: An accelerated Eulerian stochastic fields method Jangi, Mehdi; Lucchini, Tommaso; Gong, Cheng Combustion Theory and Modelling, Vol. 19, Issue 5 https://doi.org/10.1080/13647830.2015.1057234	journal	July 2015
Consistency and convergence of Eulerian Monte Carlo field method for solving transported probability density function equation in turbulence modeling Wang, Haifeng; Zhang, Pei; Pant, Tejas Physics of Fluids, Vol. 30, Issue 11 https://doi.org/10.1063/1.5053098	journal	November 2018
Large Eddy Simulation of Supersonic Combustion Using the Eulerian Stochastic Fields Method Almeida, Y. P.; Navarro-Martinez, S. Flow, Turbulence and Combustion, Vol. 103, Issue 4 https://doi.org/10.1007/s10494-019-00055-7	journal	September 2019
Turbulent lifted flames in a vitiated coflow investigated using joint PDF calculations Cao, Renfeng Richard; Pope, Stephen B.; Masri, Assaad R. Combustion and Flame, Vol. 142, Issue 4 https://doi.org/10.1016/j.combustflame.2005.04.005	journal	September 2005
Large eddy simulation of autoignition with a subgrid probability density function method Jones, W.; Navarromartinez, S. Combustion and Flame, Vol. 150, Issue 3 https://doi.org/10.1016/j.combustflame.2007.04.003	journal	August 2007
Solution-limited time stepping to enhance reliability in CFD applications Lian, Chenzhou; Xia, Guoping; Merkle, Charles L. Journal of Computational Physics, Vol. 228, Issue 13 https://doi.org/10.1016/j.jcp.2009.03.040	journal	July 2009
Probability density function approach for compressible turbulent reacting flows Hsu, A. T.; Tsai, Y. -L. P.; Raju, M. S. AIAA Journal, Vol. 32, Issue 7 https://doi.org/10.2514/3.12209	journal	July 1994
Modelling of Premixed Laminar Flames using Flamelet-Generated Manifolds Oijen, J. A. Van; Goey, L. P. H. De Combustion Science and Technology, Vol. 161, Issue 1 https://doi.org/10.1080/00102200008935814	journal	December 2000
A thickened flame model for large eddy simulations of turbulent premixed combustion Colin, O.; Ducros, F.; Veynante, D. Physics of Fluids, Vol. 12, Issue 7 https://doi.org/10.1063/1.870436	journal	July 2000
The effect of mixing models in PDF calculations of piloted jet flames Cao, Renfeng Richard; Wang, Haifeng; Pope, Stephen B. Proceedings of the Combustion Institute, Vol. 31, Issue 1 https://doi.org/10.1016/j.proci.2006.08.052	journal	January 2007
A unified view of pilot stabilized turbulent jet flames for model assessment across different combustion regimes Wang, Haifeng; Zhang, Pei Proceedings of the Combustion Institute, Vol. 36, Issue 2 https://doi.org/10.1016/j.proci.2016.06.008	journal	January 2017
Particle Method for Turbulent Flows: Integration of Stochastic Model Equations Pope, S. B. Journal of Computational Physics, Vol. 117, Issue 2 https://doi.org/10.1006/jcph.1995.1070	journal	March 1995
Progress in probability density function methods for turbulent reacting flows Haworth, D. C. Progress in Energy and Combustion Science, Vol. 36, Issue 2 https://doi.org/10.1016/j.pecs.2009.09.003	journal	April 2010
Computational study of lean premixed turbulent flames using RANSPDF and LESPDF methods Rowinski, David H.; Pope, Stephen B. Combustion Theory and Modelling, Vol. 17, Issue 4 https://doi.org/10.1080/13647830.2013.789929	journal	August 2013
Large Eddy Simulation of Premixed Turbulent Flames Using the Probability Density Function Approach Dodoulas, I. A.; Navarro-Martinez, S. Flow, Turbulence and Combustion, Vol. 90, Issue 3 https://doi.org/10.1007/s10494-013-9446-z	journal	February 2013
Modelling of diesel spray flames under engine-like conditions using an accelerated Eulerian Stochastic Field method Pang, Kar Mun; Jangi, Mehdi; Bai, Xue-Song Combustion and Flame, Vol. 193 https://doi.org/10.1016/j.combustflame.2018.03.030	journal	July 2018
Diesel flame lift-off stabilization in the presence of laser-ignition: a numerical study Gong, Cheng; Jangi, Mehdi; Bai, Xue-Song Combustion Theory and Modelling, Vol. 19, Issue 6 https://doi.org/10.1080/13647830.2015.1077997	journal	September 2015
Large-scale structure and entrainment in the supersonic mixing layer Clemens, N. T.; Mungal, M. G. Journal of Fluid Mechanics, Vol. 284 https://doi.org/10.1017/S0022112095000310	journal	February 1995
Large-Eddy Simulation of combustion instabilities in a variable-length combustor Garby, Romain; Selle, Laurent; Poinsot, Thierry Comptes Rendus Mécanique, Vol. 341, Issue 1-2 https://doi.org/10.1016/j.crme.2012.10.020	journal	January 2013
LES of a methanol spray flame with a stochastic sub-grid model Jones, W. P.; Marquis, A. J.; Noh, D. Proceedings of the Combustion Institute, Vol. 35, Issue 2 https://doi.org/10.1016/j.proci.2014.06.086	journal	January 2015
Advances and challenges in modeling high-speed turbulent combustion in propulsion systems Gonzalez-Juez, Esteban D.; Kerstein, Alan R.; Ranjan, R. Progress in Energy and Combustion Science, Vol. 60 https://doi.org/10.1016/j.pecs.2016.12.003	journal	May 2017
The Eddy Dissipation Turbulence Energy Cascade Model ErtesvÅG, Ivar S.; Magnussen, BjØRn F. Combustion Science and Technology, Vol. 159, Issue 1 https://doi.org/10.1080/00102200008935784	journal	October 2000
A mixing model for turbulent reactive flows based on Euclidean minimum spanning trees Subramaniam, S. Combustion and Flame, Vol. 115, Issue 4 https://doi.org/10.1016/S0010-2180(98)00023-6	journal	December 1998
Experimental study of compressible turbulent mixing layers Goebel, Steven G.; Dutton, J. Craig AIAA Journal, Vol. 29, Issue 4 https://doi.org/10.2514/3.10617	journal	April 1991
Consistent Behavior of Eulerian Monte Carlo fields at Low Reynolds Numbers Valiño, Luis; Mustata, Radu; Letaief, Khaled Ben Flow, Turbulence and Combustion, Vol. 96, Issue 2 https://doi.org/10.1007/s10494-015-9687-0	journal	November 2015
Impact of source terms on reliability of CFD algorithms Lian, Chenzhou; Xia, Guoping; Merkle, Charles L. Computers & Fluids, Vol. 39, Issue 10 https://doi.org/10.1016/j.compfluid.2010.06.021	journal	December 2010
Flow field studies of a new series of turbulent premixed stratified flames Seffrin, F.; Fuest, F.; Geyer, D. Combustion and Flame, Vol. 157, Issue 2 https://doi.org/10.1016/j.combustflame.2009.09.001	journal	February 2010
Formulation of the k-w Turbulence Model Revisited Wilcox, David C. AIAA Journal, Vol. 46, Issue 11 https://doi.org/10.2514/1.36541	journal	November 2008
Variance consistent mean shift particle model for treating differential molecular diffusion in transported PDF methods for turbulent reactive flows Zhang, Pei; Wang, Haifeng Computers & Fluids, Vol. 170 https://doi.org/10.1016/j.compfluid.2018.04.021	journal	July 2018
Lagrangian investigation of local extinction, re-ignition and auto-ignition in turbulent flames Wang, Haifeng; Pope, Stephen B. Combustion Theory and Modelling, Vol. 12, Issue 5 https://doi.org/10.1080/13647830802056137	journal	September 2008
Micromixing effects in a reacting plume by the Stochastic Fields method Garmory, A.; Richardson, E. S.; Mastorakos, E. Atmospheric Environment, Vol. 40, Issue 6 https://doi.org/10.1016/j.atmosenv.2005.11.002	journal	February 2006
Numerical Study of n-Heptane Auto-ignition Using LES-PDF Methods Jones, W. P.; Navarro-Martinez, S. Flow, Turbulence and Combustion, Vol. 83, Issue 3 https://doi.org/10.1007/s10494-009-9228-9	journal	June 2009
Comparison of Eulerian and Lagrangian Monte Carlo PDF methods for turbulent diffusion flames Möbus, H.; Gerlinger, P.; Brüggemann, D. Combustion and Flame, Vol. 124, Issue 3 https://doi.org/10.1016/S0010-2180(00)00207-8	journal	February 2001
An approach to the autoignition of a turbulent mixture Dopazo, César; O'Brien, Edward E. Acta Astronautica, Vol. 1, Issue 9-10 https://doi.org/10.1016/0094-5765(74)90050-2	journal	September 1974
PDF methods for turbulent reactive flows Pope, S. B. Progress in Energy and Combustion Science, Vol. 11, Issue 2 https://doi.org/10.1016/0360-1285(85)90002-4	journal	January 1985
Approximate Riemann solvers, parameter vectors, and difference schemes Roe, P. L. Journal of Computational Physics, Vol. 43, Issue 2 https://doi.org/10.1016/0021-9991(81)90128-5	journal	October 1981
Approaches for Comparing Numerical Simulation of Combustion Instability and Flame Imaging Hardi, Justin S.; Zach Hallum, W.; Huang, Cheng Journal of Propulsion and Power, Vol. 32, Issue 2 https://doi.org/10.2514/1.B35780	journal	March 2016
LES combustion modeling using the Eulerian stochastic field method coupled with tabulated chemistry Avdić, Amer; Kuenne, Guido; di Mare, Francesca Combustion and Flame, Vol. 175 https://doi.org/10.1016/j.combustflame.2016.06.015	journal	January 2017
Simplified Reaction Mechanisms for the Oxidation of Hydrocarbon Fuels in Flames Westbrook, Charles K.; Dryer, Frederick L. Combustion Science and Technology, Vol. 27, Issue 1-2 https://doi.org/10.1080/00102208108946970	journal	December 1981
LES of scalar mixing in supersonic mixing layers Sankaran, V.; Menon, S. Proceedings of the Combustion Institute, Vol. 30, Issue 2 https://doi.org/10.1016/j.proci.2004.08.027	journal	January 2005
Examination of errors of table integration in flamelet/progress variable modeling of a turbulent non-premixed jet flame Pant, Tejas; Han, Chao; Wang, Haifeng Applied Mathematical Modelling, Vol. 72 https://doi.org/10.1016/j.apm.2019.03.016	journal	August 2019
Stochastic fields method for sub-grid scale emission heterogeneity in mesoscale atmospheric dispersion models Cassiani, M.; Vinuesa, J. F.; Galmarini, S. Atmospheric Chemistry and Physics, Vol. 10, Issue 1 https://doi.org/10.5194/acp-10-267-2010	journal	January 2010
LES-pdf simulation of a spark ignited turbulent methane jet Jones, W. P.; Prasad, V. N. Proceedings of the Combustion Institute, Vol. 33, Issue 1 https://doi.org/10.1016/j.proci.2010.06.076	journal	January 2011
Large eddy simulation/probability density function modeling of a turbulent <mml:math altimg="si195.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msub><mml:mrow><mml:mtext>CH</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mtext>H</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mtext>N</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> jet flame Wang, Haifeng; Pope, Stephen B. Proceedings of the Combustion Institute, Vol. 33, Issue 1 https://doi.org/10.1016/j.proci.2010.08.004	journal	January 2011
A multivariate quadrature based moment method for LES based modeling of supersonic combustion Donde, Pratik; Koo, Heeseok; Raman, Venkat Journal of Computational Physics, Vol. 231, Issue 17 https://doi.org/10.1016/j.jcp.2012.04.031	journal	July 2012
A novel transient turbulent jet flame for studying turbulent combustion Wang, Haifeng; Juddoo, Mrinal; Starner, Sten H. Proceedings of the Combustion Institute, Vol. 34, Issue 1 https://doi.org/10.1016/j.proci.2012.06.021	journal	January 2013
Studies of the flow and turbulence fields in a turbulent pulsed jet flame using LES/PDF Zhang, Pei; Masri, Assaad R.; Wang, Haifeng Combustion Theory and Modelling, Vol. 21, Issue 5 https://doi.org/10.1080/13647830.2017.1312546	journal	April 2017
Scalar and joint scalar-velocity-frequency Monte Carlo PDF simulation of supersonic combustion Mobus, H. Combustion and Flame, Vol. 132, Issue 1-2 https://doi.org/10.1016/S0010-2180(02)00428-5	journal	January 2003
Direct, high resolution, four‐dimensional measurements of the fine scale structure of Sc≫1 molecular mixing in turbulent flows Dahm, Werner J. A.; Southerland, Kenneth B.; Buch, Kenneth A. Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5 https://doi.org/10.1063/1.858093	journal	May 1991
Large eddy simulation/probability density function simulations of bluff body stabilized flames Popov, Pavel P.; Pope, Stephen B. Combustion and Flame, Vol. 161, Issue 12 https://doi.org/10.1016/j.combustflame.2014.05.018	journal	December 2014
Direct numerical simulations of the turbulent mixing of a passive scalar Eswaran, V.; Pope, S. B. Physics of Fluids, Vol. 31, Issue 3 https://doi.org/10.1063/1.866832	journal	January 1988
LES of a turbulent premixed swirl burner using the Eulerian stochastic field method Jones, W. P.; Marquis, A. J.; Prasad, V. N. Combustion and Flame, Vol. 159, Issue 10 https://doi.org/10.1016/j.combustflame.2012.04.008	journal	October 2012
A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows Muradoglu, Metin; Jenny, Patrick; Pope, Stephen B. Journal of Computational Physics, Vol. 154, Issue 2 https://doi.org/10.1006/jcph.1999.6316	journal	September 1999
Large Eddy Simulation of the Sandia Flame Series (D–F) using the Eulerian stochastic field method Jones, W. P.; Prasad, V. N. Combustion and Flame, Vol. 157, Issue 9 https://doi.org/10.1016/j.combustflame.2010.05.010	journal	September 2010
Influence of Chemical Kinetics and Unmixedness on Burning in Supersonic Hydrogen Flames Evans, John S.; Schexnayder, Charles J. AIAA Journal, Vol. 18, Issue 2 https://doi.org/10.2514/3.50747	journal	February 1980
Coupling between hydrodynamics, acoustics, and heat release in a self-excited unstable combustor Harvazinski, Matthew E.; Huang, Cheng; Sankaran, Venkateswaran Physics of Fluids, Vol. 27, Issue 4 https://doi.org/10.1063/1.4916673	journal	April 2015
Effects of molecular transport in LES/PDF of piloted turbulent dimethyl ether/air jet flames You, Jiaping; Yang, Yue; Pope, Stephen B. Combustion and Flame, Vol. 176 https://doi.org/10.1016/j.combustflame.2016.11.007	journal	February 2017
Probability density function approach for multidimensional turbulentflow calculations with application to in-cylinder flows in reciprocating engines Haworth, Daniel C.; El Tahry, Sherif H. AIAA Journal, Vol. 29, Issue 2 https://doi.org/10.2514/3.10566	journal	February 1991
Stochastic Eulerian field method for radiative heat transfer in a propane oxygen-enhanced turbulent diffusion flame Nmira, Fatiha; Burot, Daria; Consalvi, Jean-Louis Combustion Theory and Modelling, Vol. 21, Issue 1 https://doi.org/10.1080/13647830.2016.1211740	journal	August 2016
An investigation of turbulent premixed counterflow flames using large-eddy simulations and probability density function methods Tirunagari, Ranjith R.; Pope, Stephen B. Combustion and Flame, Vol. 166 https://doi.org/10.1016/j.combustflame.2016.01.024	journal	April 2016
Large eddy simulation of hydrogen combustion in supersonic flows using an Eulerian stochastic fields method Gong, Cheng; Jangi, Mehdi; Bai, Xue-Song International Journal of Hydrogen Energy, Vol. 42, Issue 2 https://doi.org/10.1016/j.ijhydene.2016.09.017	journal	January 2017
An Eulerian stochastic field cavitation model coupled to a pressure based solver Chen, Boxiong; Oevermann, Michael Computers & Fluids, Vol. 162 https://doi.org/10.1016/j.compfluid.2017.12.002	journal	January 2018
Application of PDF methods to compressible turbulent flows Delarue, B. J.; Pope, S. B. Physics of Fluids, Vol. 9, Issue 9 https://doi.org/10.1063/1.869382	journal	September 1997
Comparisons of Lagrangian and Eulerian PDF methods in simulations of non-premixed turbulent jet flames with moderate-to-strong turbulence-chemistry interactions Jaishree, J.; Haworth, D. C. Combustion Theory and Modelling, Vol. 16, Issue 3 https://doi.org/10.1080/13647830.2011.633349	journal	June 2012
Compressibility Effects on Turbulence Lele, Sanjiva K. Annual Review of Fluid Mechanics, Vol. 26, Issue 1 https://doi.org/10.1146/annurev.fl.26.010194.001235	journal	January 1994
Conditional sampling of velocity in a turbulent nonpremixed propane jet Schefer, R. W.; Hartmann, V.; Dibble, R. W. AIAA Journal, Vol. 25, Issue 10 https://doi.org/10.2514/3.9786	journal	October 1987
An updated comprehensive kinetic model of hydrogen combustion Li, Juan; Zhao, Zhenwei; Kazakov, Andrei International Journal of Chemical Kinetics, Vol. 36, Issue 10 https://doi.org/10.1002/kin.20026	journal	January 2004
Large eddy simulation of a premixed propane turbulent bluff body flame using the Eulerian stochastic field method Jones, W. P.; Marquis, A. J.; Wang, F. Fuel, Vol. 140 https://doi.org/10.1016/j.fuel.2014.06.050	journal	January 2015
LES/PDF Modeling of Turbulent Premixed Flames with Locally Enhanced Mixing by Reaction Wang, Haifeng; Pant, Tejas; Zhang, Pei Flow, Turbulence and Combustion, Vol. 100, Issue 1 https://doi.org/10.1007/s10494-017-9831-0	journal	July 2017
Laminar diffusion flamelet models in non-premixed turbulent combustion Peters, N. Progress in Energy and Combustion Science, Vol. 10, Issue 3 https://doi.org/10.1016/0360-1285(84)90114-X	journal	January 1984
Flame Dynamics During Combustion Instability in a High-Pressure, Shear-Coaxial Injector Combustor Srinivasan, S.; Ranjan, R.; Menon, S. Flow, Turbulence and Combustion, Vol. 94, Issue 1 https://doi.org/10.1007/s10494-014-9569-x	journal	September 2014

Similar Records

Fully consistent Eulerian Monte Carlo fields method for solving probability density function transport equations in turbulence modeling

Journal Article · Fri Jan 15 00:00:00 EST 2021 · Physics of Fluids · OSTI ID:1678684

Wang, Haifeng

Numerical methods for the weakly compressible Generalized Langevin Model in Eulerian reference frame

Journal Article · Wed Jun 01 00:00:00 EDT 2016 · Journal of Computational Physics · OSTI ID:1678684

Azarnykh, Dmitrii; Litvinov, Sergey; Adams, Nikolaus A.

A non-hybrid method for the PDF equations of turbulent flows on unstructured grids

Journal Article · Sat May 10 00:00:00 EDT 2008 · Journal of Computational Physics · OSTI ID:1678684

Franzese, P; Boybeyi, Z

Related Subjects

42 ENGINEERING
compressible flow
turbulent combustion
Eulerian Monte Carlo fields method
turbulent mixing

Title: Transported PDF Modeling of Compressible Turbulent Reactive Flows by using the Eulerian Monte Carlo Fields Method

Citation Formats

References (88)

Similar Records

Related Subjects