Self-contained filtered density function

Nouri, Arash G.; Nik, Mehdi B.; Givi, Pope; Livescu, Daniel; Pope, Stephen B.

doi:10.1103/PhysRevFluids.2.094603

Self-contained filtered density function

Journal Article · Mon Sep 18 00:00:00 EDT 2017 · Physical Review Fluids

DOI:https://doi.org/10.1103/PhysRevFluids.2.094603· OSTI ID:1407883

Nouri, Arash G. ^[1]; Nik, Mehdi B. ^[1]; Givi, Pope ^[1]; ^[2]; Pope, Stephen B. ^[3]

Univ. of Pittsburgh, PA (United States). Dept. of Mechanical Engineering and Materials Science
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Integrated Nanotechnologies (CINT)
Cornell Univ., Ithaca, NY (United States). Sibley School of Mechanical and Aerospace Engineering

The filtered density function (FDF) closure is extended to a “self-contained” format to include the subgrid-scale (SGS) statistics of all of the hydro-thermo-chemical variables in turbulent flows. These are the thermodynamic pressure, the specific internal energy, the velocity vector, and the composition field. In this format, the model is comprehensive and facilitates large-eddy simulation (LES) of flows at both low and high compressibility levels. A transport equation is developed for the joint pressure-energy-velocity-composition filtered mass density function (PEVC-FMDF). In this equation, the effect of convection appears in closed form. The coupling of the hydrodynamics and thermochemistry is modeled via a set of stochastic differential equation for each of the transport variables. This yields a self-contained SGS closure. We demonstrated how LES is conducted of a turbulent shear flow with transport of a passive scalar. Finally, the consistency of the PEVC-FMDF formulation is established, and its overall predictive capability is appraised via comparison with direct numerical simulation (DNS) data.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Air Force Research Laboratory (AFRL); National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1407883

Report Number(s):: LA-UR-17-22145

Journal Information:: Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 9 Vol. 2; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (83)

Fundamentals of Turbulent and Multiphase Combustion Kuo, Kenneth K.; Acharya, Ragini https://doi.org/10.1002/9781118107683	book	January 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
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
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. 178, Issue 1 https://doi.org/10.1006/jcph.2002.7042	journal	May 2002
Stochastic Differential Equations Stroock, Daniel W.; Varadhan, S. R. Srinivasa Multidimensional Diffusion Processes https://doi.org/10.1007/3-540-28999-2_6	book	January 1997
The Fokker-Planck Equation Tschacher, Wolfgang; Haken, Hermann The Process of Psychotherapy https://doi.org/10.1007/978-3-030-12748-0_4	book	January 2019
Stochastic Differential Equations Gikhman, Iosif Ilyich; Skorokhod, Anatoli Vladimirovich The Theory of Stochastic Processes III https://doi.org/10.1007/978-3-540-49941-1_2	book	January 2007
Stochastic Differential Equations Øksendal, Bernt Universitext https://doi.org/10.1007/978-3-642-14394-6	book	January 2003
The Fokker-Planck Equation Risken, Hannes Springer Series in Synergetics https://doi.org/10.1007/978-3-642-61544-3	book	January 1996
The Fokker-Planck Equation Gardiner, Crispin W. Springer Series in Synergetics https://doi.org/10.1007/978-3-662-02452-2_5	book	January 1985
Grid Resolution Effects on VSFMDF/LES: Submitted for the Special Issue Dedicated to S. B. Pope Nik, Mehdi B.; Yilmaz, Server L.; Sheikhi, Mohammad Reza H. Flow, Turbulence and Combustion, Vol. 85, Issue 3-4 https://doi.org/10.1007/s10494-010-9272-5	journal	July 2010
An Irregularly Portioned Lagrangian Monte Carlo Method for Turbulent Flow Simulation Yılmaz, S. L.; Nik, M. B.; Sheikhi, M. R. H. Journal of Scientific Computing, Vol. 47, Issue 1 https://doi.org/10.1007/s10915-010-9424-8	journal	October 2010
Boundary conditions for direct simulations of compressible viscous flows Poinsot, T. J.; Lelef, S. K. Journal of Computational Physics, Vol. 101, Issue 1 https://doi.org/10.1016/0021-9991(92)90046-2	journal	July 1992
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
Model-free simulations of turbulent reactive flows Givi, Peyman Progress in Energy and Combustion Science, Vol. 15, Issue 1 https://doi.org/10.1016/0360-1285(89)90006-3	journal	January 1989
Computations of turbulent combustion: Progress and challenges Pope, S. B. Symposium (International) on Combustion, Vol. 23, Issue 1 https://doi.org/10.1016/S0082-0784(06)80307-3	journal	January 1991
Large-eddy simulation: achievements and challenges Piomelli, U. Progress in Aerospace Sciences, Vol. 35, Issue 4 https://doi.org/10.1016/S0376-0421(98)00014-1	journal	May 1999
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
Large eddy simulation of turbulent spray combustion Irannejad, Abolfazl; Banaeizadeh, Araz; Jaberi, Farhad Combustion and Flame, Vol. 162, Issue 2 https://doi.org/10.1016/j.combustflame.2014.07.029	journal	February 2015
A pre-partitioned adaptive chemistry methodology for the efficient implementation of combustion chemistry in particle PDF methods Liang, Youwen; Pope, Stephen B.; Pepiot, Perrine Combustion and Flame, Vol. 162, Issue 9 https://doi.org/10.1016/j.combustflame.2015.05.012	journal	September 2015
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
A hybrid DG-Monte Carlo FDF simulator Sammak, Shervin; Brazell, Michael J.; Givi, Peyman Computers & Fluids, Vol. 140 https://doi.org/10.1016/j.compfluid.2016.09.003	journal	November 2016
Large eddy simulation-based analysis of entropy generation in a turbulent nonpremixed flame Safari, Mehdi; Sheikhi, M. Reza H. Energy, Vol. 78 https://doi.org/10.1016/j.energy.2014.10.032	journal	December 2014
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 mixing in non-isothermal jet in crossflow Esmaeili, Mostafa; Afshari, Asghar; Jaberi, Farhad A. International Journal of Heat and Mass Transfer, Vol. 89 https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.055	journal	October 2015
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
Large-eddy simulation/probability density function modeling of a non-premixed CO/H2 temporally evolving jet flame Yang, Yue; Wang, Haifeng; Pope, Stephen B. Proceedings of the Combustion Institute, Vol. 34, Issue 1 https://doi.org/10.1016/j.proci.2012.08.015	journal	January 2013
Small scales, many species and the manifold challenges of turbulent combustion Pope, Stephen B. Proceedings of the Combustion Institute, Vol. 34, Issue 1 https://doi.org/10.1016/j.proci.2012.09.009	journal	January 2013
Filtered density function simulation of a realistic swirled combustor Ansari, N.; Strakey, P. A.; Goldin, G. M. Proceedings of the Combustion Institute, Vol. 35, Issue 2 https://doi.org/10.1016/j.proci.2014.05.042	journal	January 2015
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
A stochastic breakup model for Large Eddy Simulation of a turbulent two-phase reactive flow Jones, W. P.; Marquis, A. J.; Noh, D. Proceedings of the Combustion Institute, Vol. 36, Issue 2 https://doi.org/10.1016/j.proci.2016.06.033	journal	January 2017
Turbulent Flows Pope, Stephen B. https://doi.org/10.1017/CBO9780511840531	book	July 2012
A study of compressibility effects in the high-speed turbulent shear layer using direct simulation Pantano, C.; Sarkar, S. Journal of Fluid Mechanics, Vol. 451 https://doi.org/10.1017/S0022112001006978	journal	January 2002
Secondary instability of a temporally growing mixing layer Metcalfe, Ralph W.; Orszag, Steven A.; Brachet, Marc E. Journal of Fluid Mechanics, Vol. 184 https://doi.org/10.1017/S0022112087002866	journal	November 1987
Toward the large-eddy simulation of compressible turbulent flows Erlebacher, G.; Hussaini, M. Y.; Speziale, C. G. Journal of Fluid Mechanics, Vol. 238 https://doi.org/10.1017/S0022112092001678	journal	May 1992
Turbulence: the filtering approach Germano, M. Journal of Fluid Mechanics, Vol. 238 https://doi.org/10.1017/S0022112092001733	journal	May 1992
The three-dimensional evolution of a plane mixing layer: pairing and transition to turbulence Moser, Robert D.; Rogers, Michael M. Journal of Fluid Mechanics, Vol. 247 https://doi.org/10.1017/S0022112093000473	journal	February 1993
Realizability conditions for the turbulent stress tensor in large-eddy simulation Vreman, Bert; Geurts, Bernard; Kuerten, Hans Journal of Fluid Mechanics, Vol. 278 https://doi.org/10.1017/S0022112094003745	journal	November 1994
Compressible mixing layer growth rate and turbulence characteristics Vreman, A. W.; Sandham, N. D.; Luo, K. H. Journal of Fluid Mechanics, Vol. 320, Issue -1 https://doi.org/10.1017/S0022112096007525	journal	August 1996
Large-eddy simulation of the turbulent mixing layer Vreman, Bert; Geurts, Bernard; Kuerten, Hans Journal of Fluid Mechanics, Vol. 339 https://doi.org/10.1017/S0022112097005429	journal	May 1997
Filtered mass density function for large-eddy simulation of turbulent reacting flows Jaberi, F. A.; Colucci, P. J.; James, S. Journal of Fluid Mechanics, Vol. 401 https://doi.org/10.1017/S0022112099006643	journal	December 1999
On the realizability of pressure–strain closures Mishra, Aashwin A.; Girimaji, Sharath S. Journal of Fluid Mechanics, Vol. 755 https://doi.org/10.1017/jfm.2014.446	journal	August 2014
Two-phase filtered mass density function for LES of turbulent reacting flows Li, Z.; Banaeizadeh, A.; Jaberi, F. A. Journal of Fluid Mechanics, Vol. 760 https://doi.org/10.1017/jfm.2014.573	journal	November 2014
Coherence resonance in influencer networks Tönjes, Ralf; Fiore, Carlos E.; Pereira, Tiago Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-020-20441-4	journal	January 2021
Velocity filtered density function for large eddy simulation of turbulent flows Gicquel, L. Y. M.; Givi, P.; Jaberi, F. A. Physics of Fluids, Vol. 14, Issue 3 https://doi.org/10.1063/1.1436496	journal	March 2002
Velocity-scalar filtered density function for large eddy simulation of turbulent flows Sheikhi, M. R. H.; Drozda, T. G.; Givi, P. Physics of Fluids, Vol. 15, Issue 8 https://doi.org/10.1063/1.1584678	journal	August 2003
Velocity-scalar filtered mass density function for large eddy simulation of turbulent reacting flows Sheikhi, M. R. H.; Givi, P.; Pope, S. B. Physics of Fluids, Vol. 19, Issue 9 https://doi.org/10.1063/1.2768953	journal	September 2007
Frequency-velocity-scalar filtered mass density function for large eddy simulation of turbulent flows Sheikhi, M. R. H.; Givi, P.; Pope, S. B. Physics of Fluids, Vol. 21, Issue 7 https://doi.org/10.1063/1.3153907	journal	July 2009
Gaussian Lagrangian stochastic models for multi-particle dispersion Sawford, B. L.; Pope, S. B.; Yeung, P. K. Physics of Fluids, Vol. 25, Issue 5 https://doi.org/10.1063/1.4802037	journal	May 2013
Guidelines for the formulation of Lagrangian stochastic models for particle simulations of single-phase and dispersed two-phase turbulent flows Minier, Jean-Pierre; Chibbaro, Sergio; Pope, Stephen B. Physics of Fluids, Vol. 26, Issue 11 https://doi.org/10.1063/1.4901315	journal	November 2014
A large‐eddy simulation scheme for turbulent reacting flows Gao, Feng; O’Brien, Edward E. Physics of Fluids A: Fluid Dynamics, Vol. 5, Issue 6 https://doi.org/10.1063/1.858617	journal	June 1993
A generalized Langevin model for turbulent flows Haworth, D. C.; Pope, S. B. Physics of Fluids, Vol. 29, Issue 2 https://doi.org/10.1063/1.865723	journal	January 1986
On the relationship between stochastic Lagrangian models of turbulence and second‐moment closures Pope, S. B. Physics of Fluids, Vol. 6, Issue 2 https://doi.org/10.1063/1.868329	journal	February 1994
Probability density function and Reynolds‐stress modeling of near‐wall turbulent flows Dreeben, Thomas D.; Pope, Stephen B. Physics of Fluids, Vol. 9, Issue 1 https://doi.org/10.1063/1.869157	journal	January 1997
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
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
Filtered density function for large eddy simulation of turbulent reacting flows Colucci, P. J.; Jaberi, F. A.; Givi, P. Physics of Fluids, Vol. 10, Issue 2 https://doi.org/10.1063/1.869537	journal	February 1998
Statistical Treatment of Non-Isothermal Chemical Reactions in Turbulence Dopazo, C.; O'Brien, E. E. Combustion Science and Technology, Vol. 13, Issue 1-6 https://doi.org/10.1080/00102207608946731	journal	July 1976
Effects of Compressibility and Heat Release in a High Speed Reacting Mixing Layer Givi, P.; Madnia, C. K.; Steinberger, C. J. Combustion Science and Technology, Vol. 78, Issue 1-3 https://doi.org/10.1080/00102209108951740	journal	July 1991
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
Effects of combined dimension reduction and tabulation on the simulations of a turbulent premixed flame using a large-eddy simulation/probability density function method Kim, Jeonglae; Pope, Stephen B. Combustion Theory and Modelling, Vol. 18, Issue 3 https://doi.org/10.1080/13647830.2014.919411	journal	May 2014
Analysis of extinction in a non-premixed turbulent flame using large eddy simulation and the chemical explosion mode analysis Dodoulas, Ilias A.; Navarro-Martinez, Salvador Combustion Theory and Modelling, Vol. 19, Issue 1 https://doi.org/10.1080/13647830.2014.993713	journal	January 2015
Flame balls in non-uniform mixtures: existence and finite activation energy effects Daou, Remi; Pearce, Philip; Daou, Joel Combustion Theory and Modelling, Vol. 20, Issue 1 https://doi.org/10.1080/13647830.2015.1114148	journal	December 2015
Turbulent Flows Pope, Stephen B. Measurement Science and Technology, Vol. 12, Issue 11 https://doi.org/10.1088/0957-0233/12/11/705	journal	October 2001
Ten questions concerning the large-eddy simulation of turbulent flows Pope, Stephen B. New Journal of Physics, Vol. 6 https://doi.org/10.1088/1367-2630/6/1/035	journal	January 2004
An Irregularly Portioned FDF Simulator Pisciuneri, P. H.; Yilmaz, S. L.; Strakey, P. A. SIAM Journal on Scientific Computing, Vol. 35, Issue 4 https://doi.org/10.1137/130911512	journal	January 2013
Stochastic Differential Equations Ahmed, N. U. Linear and Nonlinear Filtering for Scientists and Engineers https://doi.org/10.1142/9789812815934_0002	book	January 1999
Scale-Invariance and Turbulence Models for Large-Eddy Simulation Meneveau, Charles; Katz, Joseph Annual Review of Fluid Mechanics, Vol. 32, Issue 1 https://doi.org/10.1146/annurev.fluid.32.1.1	journal	January 2000
Stochastic differential equations [Équations différentielles stochastiques] Zítek, František Czechoslovak Mathematical Journal, Vol. 08, Issue 3 https://doi.org/10.21136/cmj.1958.100318	journal	January 1958
Filtered Density Function for Subgrid Scale Modeling of Turbulent Combustion Givi, Peyman AIAA Journal, Vol. 44, Issue 1 https://doi.org/10.2514/1.15514	journal	January 2006
Scalar Filtered Density Function for Large Eddy Simulation of a Bunsen Burner Yilmaz, S. L.; Nik, M. B.; Givi, P. Journal of Propulsion and Power, Vol. 26, Issue 1 https://doi.org/10.2514/1.44600	journal	January 2010
Simulation of Sandia Flame D Using Velocity-Scalar Filtered Density Function Nik, M. B.; Yilmaz, S. L.; Givi, P. AIAA Journal, Vol. 48, Issue 7 https://doi.org/10.2514/1.J050154	journal	July 2010
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
Scalar-Filtered Mass-Density-Function Simulation of Swirling Reacting Flows on Unstructured Grids Ansari, N.; Pisciuneri, P. H.; Strakey, P. A. AIAA Journal, Vol. 50, Issue 11 https://doi.org/10.2514/1.J051671	journal	November 2012
Entropy Filtered Density Function for Large Eddy Simulation of Turbulent Flows Sheikhi, M. R. H.; Safari, M.; Hadi, F. AIAA Journal, Vol. 53, Issue 9 https://doi.org/10.2514/1.J053679	journal	September 2015
Survey of Turbulent Combustion Models for Large-Eddy Simulations of Propulsive Flowfields Miller, Richard S.; Foster, Justin W. AIAA Journal, Vol. 54, Issue 10 https://doi.org/10.2514/1.J054740	journal	October 2016
Molecular Transport Effects in Turbulent Diffusion Flames at Moderate Reynolds Number Bilger, R. W. AIAA Journal, Vol. 20, Issue 7 https://doi.org/10.2514/3.51154	journal	July 1982
Direct numerical simulations of a reacting mixing layer with chemical heat release McMurtry, P. A.; Jou, W. -H.; Riley, J. AIAA Journal, Vol. 24, Issue 6 https://doi.org/10.2514/3.9371	journal	June 1986
Molecular transport effects in turbulent diffusion flames at moderate Reynolds number Bilger, R. 19th Aerospace Sciences Meeting, 19th Aerospace Sciences Meeting https://doi.org/10.2514/6.1981-104	conference	August 1981
Direct numerical simulations of a reacting mixing layer with chemical heat release Mcmurtry, P.; Jou, W. -H.; Metcalfe, R. 23rd Aerospace Sciences Meeting https://doi.org/10.2514/6.1985-143	conference	August 1985
Survey of Turbulent Combustion Models for Large-Eddy Simulations of Propulsive Flowfields Foster, Justin W.; Miller, Richard S. 53rd AIAA Aerospace Sciences Meeting https://doi.org/10.2514/6.2015-1379	conference	January 2015
The Fokker-Planck equation [Уравнение Фоккера-Планка] Olemskoi, A. I. Uspekhi Fizicheskih Nauk, Vol. 168, Issue 4 https://doi.org/10.3367/ufnr.0168.199804h.0475	journal	January 1998
Progress in the Prediction of Entropy Generation in Turbulent Reacting Flows Using Large Eddy Simulation Safari, Mehdi; Hadi, Fatemeh; Sheikhi, M. Entropy, Vol. 16, Issue 10 https://doi.org/10.3390/e16105159	journal	September 2014

Similar Records

Application of Scalar Filtered Density Function to Turbulent Flows Under Supercritical Condition

Journal Article · Tue Jun 08 00:00:00 EDT 2021 · Journal of Energy Resources Technology · OSTI ID:1980656

Modeling subgrid scale mixture fraction variance in LES of evaporating spray

Journal Article · Fri Sep 15 00:00:00 EDT 2006 · Combustion and Flame · OSTI ID:20824150

Subgrid-scale effects in compressible variable-density decaying turbulence

Journal Article · Mon May 07 20:00:00 EDT 2018 · Journal of Fluid Mechanics · OSTI ID:1436961

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Self-contained filtered density function

Citation Formats

References (83)

Similar Records

Related Subjects