Large Eddy Simulation of Heat and Mass Transport in Turbulent Flows

Handbook of Numerical Heat Transfer: Second Edition

Volumn , Issue , 2009, Pages 167-189

  Madnia, Cyrus K ^a   Jaberi, Farhad A ^b   Givi, Peyman ^c  

^a the State University of New York   (United States)

^b Michigan State University   (United States)

^c University of Pittsburgh   (United States)

Author keywords

Direct numerical simulation (DNS); Filtered density function; Heat and mass transport (HMT); Large eddy simulation (LES); Subgrid scale modeling

Indexed keywords

EID: 84880679705     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470172599.ch5     Document Type: Chapter

References (217)

1. M. Ciofalo, Large Eddy Simulation: A Critical Survey of Models and Applications, in Advances in Heat Transfer, vol. 25, pp. 321-419, Academic Press, New York, 1994.
2. B. J. Geurts, ed., Modern Simulation Strategies for Turbulent Flow, R. T. Edwards, Philadelphia, PA, 2001.
3. S. B. Pope, Turbulent Flows, Cambridge University Press, Cambridge, UK, 2000.
4. O. Metais and J. H. Ferziger, eds., New Tools in Turbulence Modeling, Springer-Verlag, Berlin, 1997.
5. E. S. Oran and J. P. Boris, Numerical Simulation of Reactive Flows, 2d ed., Cambridge University Press, New York, 2001.
6. P. Givi, Model Free Simulations of Turbulent Reactive Flows, Prog. Energy Combust. Sci., 15, 1-107 (1989).
7. D. C. Wilcox, Turbulence Modeling for CFD, 2d ed. DCW Industries, La Canada, CA, 2000.
8. D. B. Taulbee, Engineering Turbulence Models, in W. K. George and R. Arndt (eds.), Advances in Tur bulence, pp. 75-125, Hemisphere, New York, 1989.
9. B. J. Geurts, Elements of Direct and Large-Eddy Simulation. R. T. Edwards, Philadelphia, PA, 2004.
10. A. A. Aldama, Filtering Techniques for Turbulent Flow Simulations, Vol. 49 of Lecture Notes in Engi neering, Springer-Verlag, New York, 1990.
11. P. Givi, Subgrid Scale Modeling in Turbulent Combustion: A Review, AIAA Paper 2003-5081, 2003.
12. P. Givi, Spectral and Random Vortex Methods in Turbulent Reacting Flows, in P. A. Libby and F. A. Williams, (eds.), Turbulent Reacting Flows, pp. 475-572, Academic Press, London, 1994.
13. F. A. Jaberi, F. Mashayek, C. K. Madnia, D. B. Taulbee, and P. Givi, Advances in Analytical Description of Turbulent Reacting Flows, in G. D. Roy (ed.), Advances in Chemical Propulsion: Science to Technology, pp. 149-164, CRC Press, Boca Raton, FL, 2002.
14. D. Basu, A. Hamed, and K. Das, DES and Hybrid RANS/LES Models for Unsteady Separated Turbulent Flow Predictions, AIAA Paper 2005-0503, 2005.
15. S. Kenjeres and K. Hanjalic, Transient Analysis of Rayleigh-Benard Convection with a RANS Model, Int. J. Heat Fluid Flow, 20, 329-340 (1999).
16. J. P. Boris, On Large Eddy Simulation Using Subgrid Turbulence Models, in J. L. Whither Turbulence? Turbulence at the Crossroads (J. L. Lumley, ed.), vol. 357 of Lecture Notes in Physics, pp. 344-353, New York, NY: Springer-Verlag, 1990.
17. F. A. Williams, Combustion Theory, 2d ed., Benjamin/Cummings, Menlo Park, CA, 1985.
18. U. Piomelli, Large-eddy Simulation: Achievements and Challenges, Progress in Aerospace Sciences, 35, 335-362 (1999).
19. C. Meneveau and J. Katz, Scale-invariance and Turbulence Models for Large-eddy Simulations, Annu. Rev. FluidMech., 32, 1-32 (2000).
20. P. Sagaut, Large Eddy Simulation for Incompressible Flows, Springer-Verlag, New York, 2001.
21. B. Vreman, B. Geurts, and H. Kuerten, Realizability Conditions for the Turbulent Stress Tensor in Large-eddy Simulation, J. Fluid Mech. 278, 351-362 (1994).
22. S. Ghosal and P. Moin, The Basic Equations for the Large Eddy Simulation of Turbulent Flows in Complex Geometry, J. Comput. Phys., 118, 24-37 (1995).
23. G. Erlebacher, M. Y. Hussaini, C. G. Speziale, and T. A. Zang, Toward the Large Eddy Simulation of Compressible Turbulent Flows, J. Fluid Mech,, 238, 155-185 (1992).
24. M. V. Salvetti and S. Banerjee, "A Priori Tests of a New Dynamic Subgrid-scale Model for Finite-difference Large-eddy Simulations, Phys. Fluids, 1, 2831-2847 (1995).
25. J. Smagorinsky, General Circulation Experiments with the Primitive Equations, I: The Basic Experiment, Monthly Weather Review, 91, 99-164 (1963).
26. D. K. Lilly, The Representation of Small-scale Turbulence in Numerical Simulation Experiments, in Proceedings of IBM Scientific Computing Symposium Environmental Sciences, pp. 195-210, IBM Form No. 320-1951, 1967.
27. U. Schumman, Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Chan nels and Annuli, J. Comput. Phys., 18, 376-404 (1975).
28. K. Horuiti, Large Eddy Simulation of Turbulent Channel Flow by One-equation Modeling, J. Phys. Soc. Jpn., 54, 2855-2865 (1985).
29. S. J. Kimmel and J. A. Domaradzki, Large Eddy Simulations of Rayleigh-Benard Convection Using Subgrid Scale Estimation Model, Phys. Fluids, 12, 169-184 (2000).
30. F. A. Jaberi and P. J. Colucci, Large Eddy Simulation of Heat and Mass Transport in Turbulent Flows, part 1: Velocity Field, Int. J. of Heat Mass Transfer, 46, 1811-1825 (2003).
31. M. Lesieur, Turbulence in Fluids, 2nd rev. ed., Kluwer Academic, Boston, MA, 1990.
32. M. Germano, Turbulence: The Filtering Approach, J. Fluid Mech., 238, 325-336 (1992).
33. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, A Dynamic Subgrid-scale Eddy Viscosity Model, Phys. Fluids A, 3, 1760-1765 (1991).
34. D. K. Lilly, A Proposed Modification of the Germano Subgrid-scale Closure Method, Phys. Fluids A, 4, 633-634 (1992).
35. S. Liu, C. Meneveau, and J. Katz, On the Properties of Similarity Subgrid-scale Models as Deduced from Measurements in a Turbulent Jet, J. Fluid Mech., 275, 83-119 (1994).
36. Y. Zang, R. L. Street, and J. R. Koseff, A Dynamic Mixed Subgrid-scale Model and Its Application to Turbulent Recirculating Flows, Phys. Fluids A, 5, 3186-3196 (1993).
37. M. V. Salvetti, Y. Zang, R. L. Street, and S. Banerjee, Large-eddy Simulation of Free-surface Decaying Turbulence with Dynamic Subgrid-scale Models, Phys. Fluids, 9, 2405-2419 (1997).
38. T. M. Eidson, Numerical Simulation of the Turbulent Rayleigh-Benard Problem Using Subgrid Modelling, J. Fluid Mech., 158, 245-268 (1985).
39. P. Moin, W. Squires, W. H. Cabot, and S. Lee, A Dynamic Subgrid-scale Model for Compressible Tur bulence and Scalar Transport, Phys. Fluids A, 3, 2746-2757 (1991).
40. V. M. Canute, Large Eddy Simulation of Turbulence: A Subgrid Scale Model Including Shear, Vorticity, Rotation, and Buoyancy, Astrophys. J. 428, 729-752 (1994).
41. M. Lesieur and O. Metais, New Trends in Large Eddy Simulations of Turbulence, Annu. Rev. Fluid Mech. 28, 45-82 (1996).
42. F. A. Jaberi and P. J. Colucci, Large Eddy Simulation of Heat and Mass Transport in Turbulent Flows, part 2: Scalar Field, Int. J. Heat Mass Transfer, 46, 1827-1840 (2003).
43. U. Schumann, Large Eddy Simulation of Turbulent Diffusion with Chemical Reactions in the Convective Boundary Layer, Atmospheric Environment, 23, 1713-1726 (1989).
44. J. P. Boris, F. F. Grinstein, E. S. Oran, and R. L. Kolbe, New Insights into Large Eddy Simulations, Fluid Dyn. Res., 10, 199-238 (1992).
45. C. Fureby and F. F. Grinstein, Monotonically Integrated Large Eddy Simulation of Free Shear Flows, AIAAJ. 37, 544 (1999).
46. R. S. Brodkey, ed., Turbulence in Mixing Operation, Academic Press, New York, 1975.
47. P. A. Libby and F. A. Williams (eds.), Turbulent Reacting Flows, Academic Press, London, 1994.
48. C. Fureby and C. Lofstrom, Large-eddy Simulations of Bluff Body Stabilized Flames, Proc. Combust. Inst., 25, 1257-1264 (1994).
49. S. Candel, D. Thevenin, N. Darabiha, and D. Veynante, Progress in Numerical Combustion, Combust. Sci. Technol, 149, 297-337 (1999).
50. S. H. Frankel, V. Adumitroaie, C. K. Madnia, and P. Givi, Large Eddy Simulations of Turbulent Reacting Flows by Assumed PDF Methods, in S. A. Ragab and U. Piomelli (eds.), Engineering Applications of Large Eddy Simulations, FED-Vol. 162, pp. 81-101, ASME, New York, 1993.
51. A. W. Cook and J. J. Riley, Subgrid Scale Modeling for Turbulent Reacting Flows, Combust. Flame, 111, 593-606 (1998).
52. S. M. De Bruyn Kops, J. J. Riley, G. Kosaly, and A. W. Cook, Investigation of Modeling for Non-premixed Turbulent Combustion," Combust. Flame, 60, 105-122 (1998).
53. P. E. DesJardin and S. H. Frankel, Large Eddy Simulation of a Turbulent Nonpremixed Reacting Jet: Application and Assessment of Subgrid-scale Combustion Models, Phys. Fluids, 10, 2298-2314 (1998).
54. H. Pitsch and H. Steiner, Large Eddy Simulation of a Turbulent Piloted Methane/Air Diffusion Flame (Sandia flame D), Phys. Fluids, 12, 2541-2554 (2000).
55. F. Ladeinde, X. Cai, B. Sekar, and B. Kiel, Application of Combined LES and Flamelet Modeling to Methane, Propane, and Jet-A Combustion, AIAA Paper 2001-0634, 2001.
56. P. A. McMurtry, S. Menon, and A. R. Kerstein, A Linear Eddy Sub-grid Model for Turbulent Reacting Flows: Application to Hydrogen-Air Combustion, Proc. Combust. Inst, 24, 271-278 (1992).
57. S. Menon and W. H. Calhoon, Subgrid Mixing and Molecular Transport Modeling in a Reacting Shear Layer, Proc. Combust. Inst, 26, 59-66 (1996).
58. W.-W. Kim, S. Menon, and H. C. Mongia, Large-eddy Simulation of a Gas Turbine Combustor Flow, Combust. Sci. Technol, 143, 25-62 (1999).
59. S. Menon, Subgrid Combustion Modelling for Large-eddy Simulations, Int. J. Engine Res., 1, 209-227 (2000).
60. W. K. Bushe and H. Steiner, Conditional Moment Closure for Large Eddy Simulation of Nonpremixed Turbulent Reacting Hows, Phys. Fluids, 11, 1896-1906 (1999).
61. H. Steiner and W. K. Bushe, Large Eddy Simulation of a Turbulent Reacting Jet with Conditional Source-term Estimation, Phys. Fluids, 13, 754-759 (2001).
62. R. I. Sykes, D. S. Henn, S. F. Parker, and W. S. Lewellen, Large-eddy Simulation of a Turbulent Reacting Plume, Atmospheric Environment, 26, 1713-1726 (1992).
63. B. Galperin and S. A. Orszag (eds.), Large Eddy Simulations of Complex Engineering and Geophysical Flows. Cambridge University Press, Cambridge, UK, 1993.
64. T. M. Smith and S. Menon, The Structure of Premixed Flames in a Spatially Evolving Turbulent Flow, Combust. Sci. Technol., 119, 77-106 (1996).
65. H. G. Im, T. S. Lund, and J. H. Ferziger, Large Eddy Simulation of Turbulent Front Propagation with Dynamic Subgrid Models, Phys. Fluids, 9, 3826-3833 (1997).
66. J. P. Meeder and F. T. M. Nieuwstadt, Subgrid-scale segregation of chemically reactive species in a neutral boundary layer, in J. P. Chollet, P. R. Voke, and L. Kleiser (eds.), Direct and Large Eddy Simulation II pp. 301-310, Kluwer Academic, Dordrecht, 1997.
67. K. B. McGrattan, H. R. Baum, and R. G. Rehm, Large Eddy Simulation of Smoke Movement, Fire Safety /., 30, 161-178 (1998).
68. D. Thibaut and S. Candel, Numerical Study of Unsteady Turbulent Premixed Combustion: Application to Flashback Simulation, Combust. Flame, 113, 53-65 (1998).
69. F. Battaglia, K. B. McGrattan, R. G. Rehm, and H. R. Baum, Simulating Fire Whirls, Combustion, Theory, and Modelling, 4, 123-138 (2000).
70. O. Collin, F. Ducros, D. Veynante, and T. Poinsot, A Thickened Flame Model for Large Eddy Simulation of Turbulent Premixed Combustion, Phys Fluids, 12, 1843-1863 (2000).
71. P. E. DesJardin and S. H. Frankel, Two-dimensional Large Eddy Simulation of Soot Formation in the Near-field of a Strongly Radiating Nonpremixed Acetylene-Air Turbulent Jet Flame, Combust. Flame, 119, 121-132(1999).
72. F. A. Jaberi and S. James, A Dynamic Similarity Model for Large Eddy Simulation of Turbulent Com bustion, Phys. Fluids, 10, 1775-1777 (1998).
73. R. Kurose, H. Makino, T. Michioka, and S. Komori, Large Eddy Simulation of Non-premixed Turbulent Reacting Mixing Layer: Effects of Heat Release and Spanwise Shear, Combust. Flame, 121, 2157-2163 (2001).
74. D. I. Pullin, A Vortex-based Model for the Subgrid Flux of a Passive Scalar, Phys. Fluids, 12, 2311-2319 (2000).
75. G. C. Burton, Large-eddy Simulation of Passive-scalar Mixing Using Multifractal Subgrid-scale Model ing, in Annual Research Briefs-2004, 145-156, Center for Turbulence Research, NASA Ames Research Center/Stanford University, Stanford, CA, 2004.
76. A. Cui and R. L. Street, Large-eddy Simulation of Turbulent Rotating Convective Flow Development, J. Fluid Mech., 447, 53-84 (2001).
77. J. Pallares, I. Cuesta, and F. X. Grau, Laminar and Turbulent Rayleigh-Benard Convection in a Perfectly Conducting Cubical Cavity, Int. J. Heat Fluid Flow, 23, 346-358 (2002).
78. H. Xi, S. Lam, and K. Xia, From Laminar Plumes to Organized Flows: The Onset of Large-scale Circu lation in Turbulent Thermal Convection, J. Fluid Mech., 503, 47-56 (2004).
79. Y. Miki, K. Fukuda, and N. Taniguchi, Large Eddy Simulation of Turbulent Natural Convection in Con centric Horizontal Annuli, Int. J. Heat Fluid Flow, 14, 210-216 (2002).
80. W. Wang and R. H. Pletcher, On the Large Eddy Simulation of a Turbulent Channel Flow with Significant Heat Transfer, Phys. Fluids, 8, 3354-3366 (1996).
81. Y. Dong and X. Lu, Large Eddy Simulation of a Thermally Stratified Turbulent Channel Flow with Temperature Oscillation on the Wall, Int. J. Heat Mass Transfer, 47, 2109-2122 (2004).
82. M. S. Vazquez and O. Metais, Large-eddy Simulation of the Turbulent Flow Through a Heated Square Duct, / Fluid Mech., 453, 201-238 (2002).
83. S. Peng and L. Davidson, On a Subgrid-scale Heat Flux Model for Large Eddy Simulation of Turbulent Thermal Flow, Int. J. Heat Mass Transfer, 45, 1393-1405 (2002).
84. J. Pallares and L. Davidson, Large-eddy Simulation of Turbulent Heat Transfer in Stationary and Rotating Square Duct, Phys. Fluids, 14, 2804-2816 (2002).
85. J. S. Lee, X. Xu, and R. H. Pletcher, Large Eddy Simulation of Heated Vertical Annular Pipe Flow in Fully Developed Turbulent Mixed Convection, Int. J. Heat Mass Transfer, 47, 437-447 (2004).
86. X. Xu, J. S. Lee, R. H. Pletcher, A. M. Shehata, and D. M. McEligot, Large Eddy Simulation of Turbu lent Forced Gas Flow in Vertical Pipes with High Heat Transfer Rates, Int. J. Heat Mass Transfer, 47, 4113-4123 (2004).
87. J. S. Lee, X. Xu, and R. H. Pletcher, Large Eddy Simulation of the Effects of Inner Wall Rotation on Heat Transfer in Annular Turbulent Flow, Numerical Heat Transfer: Part A, 46, 323-341 (2004).
88. R. V. R. Avancha and R. H. Pletcher, Large Eddy Simulation of Turbulent Flow Past a Backward-facing Step with Heat Transfer and Property Variations, Int. J. Heat Fluid Flow, 23, 601-614 (2002).
89. A. Keating, U. Piomelli, K. Bremhorst, and S. Nesic, Large-eddy Simulation of Heat Transfer Downstream of a Backward-facing Step, J. Turbulence, 5 (2004).
90. O. Labbe, P. Sagaut, and E. Montreuil, Large-eddy Simulation of Heat Transfer over Backward-facing Step, Numerical Heat Transfer: Part A, 42, 73-90 (2002).
91. S. Gao and P. R. Voke, Large-eddy Simulation of Turbulent Heat Transport in Enclosed Impinging Jets, Int. J. Heat Fluid Flow, 16, 349-356 (1995).
92. P. R. Voke and S. Gao, Numerical Study of Heat Transfer from an Impinging Jet, Int. J. Heat Mass Transfer, 41, 671-680 (1998).
93. T. Akiyama, K. Yamamoto, K. D. Squires, and K. Hishida, Simulation and Measurement of Flow and Heat Transfer in Two Planar Impinging Jets, Int. J. Heat Fluid Flow, 26, 244-255 (2005).
94. B. Niceno, A. D. T. Dronkers, and K. Hanjalic, Turbulent Heat Transfer from a Multi-layered Wall-mounted Cube matrix: A Large Eddy Simulation, Int. J. Heat Fluid Flow, 23, 173-185 (2002).
95. M. Ciofalo, Large-eddy Simulations of Turbulent Flow with Heat Transfer in Simple and Complex Geome tries Using Harwell-flow3d, Appl. Math. Modeling, 20, 262-271 (1996).
96. S. Abdel-Wahab and D. K. Tafti, Large Eddy Simulations of Flow and Heat Transfer in a 90 Degree Ribbed Duct with Rotation-Effects of Coriolis and Centrifugal Buoyancy Forces, J. Turbomachinary, 126, 627-636 (2004).
97. A. Murata and S. Mochizuki, Effect of Rib Orientation and Channel Rotation on Turbulent Heat Transfer in a Two-pass Square Channel with Sharp 180 Degree Turns Investigated by Using Large Eddy Simulation, Int. J. Heat Mass Transfer, 47, 2599-2618 (2004).
98. J. S. Lee, N. Meng, R. H. Pletcher, and Y. Liu, Numerical Study of the Effects of Rotation on Heat Transfer in Channels with and Without Ribs, Int. J. Heat Mass Transfer, 47, 4673-4684 (2004).
99. T. X. Qin, Y. C. Guo, C. K. Chan, K. S. Lau, and W. Y. Lin, Numerical Simulation of Fire-induced Flow Through a Stairwell, Building and Environment, 40, 183-194 (2005).
100. P. Z. Gao, S. L. Liu, W. K. Chow, and N. K. Fong, Large Eddy Simulations for Studying Tunnel Smoke Ventilation, Tunneling Underground Space Technol., 19, 577-586 (2004).
101. N. L. Ryder, J. A. Sutula, C. F. Schemel, A. J. Hamer, and V. Van Brunt, Consequence Modeling Using the Fire Dynamic Simulator, J. Hazardous Mater., 115, 149-154 (2004).
102. W. Zhang and Q. Chen, Large Eddy Simulation of Natural and Mixed Convection Airflow Indoors with Two Simple Filtered Dynamic Subgrid Scale Models, Numer. Heat Transfer: Part A, 37, 447-463 (2000).
103. G. Grotzbach and M. Worner, Direct and Large Eddy Simulations in Nuclear Applications, Int. J. Heat Fluid Flow, 20, 222-240 (1999).
104. R. O. Fox, Computational Models for Turbulent Reacting Flows, Cambridge, UK: Cambridge University Press, Cambridge, UK, 2003.
105. S. Heinz, Statistical Mechanics of Turbulent Flows, Springer-Verlag, New York, 2003.
106. E. E. O'Brien, The Probability Density Function (PDF) Approach to Reacting Turbulent Flows, in P. A. Libby and F. A. Williams (eds.), Turbulent Reacting Flows, pp. 185-218, Springer-Verlag, Heidelberg, 1980.
107. T. S. Lundgren, Distribution Functions in the Statistical Theory of Turbulence, Phys. Fluids, 10, 969-975 (1967).
108. C. K. Madnia and P. Givi, Direct Numerical Simulation and Large Eddy Simulation of Reacting Homo geneous Turbulence, in Galperin and Orszag [63], pp. 315-346.
109. A. W. Cook and J. J. Riley, A Subgrid Model for Equilibrium Chemistry in Turbulent Flows, Phys. Fluids, 6, 2868-2870 (1994).
110. J. Reveillon and L. Vervisch, Response of the Dynamic LES Model to Heat Release, Phys. Fluids, 8, 2248-2250 (1996).
111. N. Branley and W. P. Jones, Large Eddy Simulation of a Turbulent Non-premixed Flame, in Proceedings of the Eleventh Symposium on Turbulent Shear Flows, Grenoble, France, pp. 21.1-21.6, 1997.
112. J. Jimenez, A. Linan, M. M. Rogers, and F. J. Higuera, A Priori Testing of Subgrid Models for Chemically Reacting Non-premixed Turbulent Flows, J. Fluid Mech., 349, 149-171 (1997).
113. F. Mathey and J. P. Chollet, Large Eddy Simulation of Turbulent Reactive Flows, in Proceedings of the Eleventh Symposium on Turbulent Shear Flows, Grenoble, France, pp. 16.19-16.24, 1997.
114. H. Forkel and J. Janicka, Large-eddy Simulation of a Turbulent Hydrogen Diffusion Flame," Flow, Tur bulence and Combustion, 65, 163-175 (2000).
115. A. Kempf, H. Forkel, J. Y. Chen, A. Sadiki, and J. Janicka, Large-eddy Simulation of a Counterflow Configuration with and Without Combustion, Proc. Combust, lnst., 28, 35-40 (2000).
116. N. L. Johnson and S. Kotz, Distributions in Statistics: Continuous Univariate Distributions, Vols. 1 and 2, Wiley, New York, 1972.
117. L. M. Leemis, Relations Among Common Univariate Distributions, Am. Statistician, 40, 143-146 (1986).
118. K. V. Mardia, Families of Bivariate Distributions, Hefner, Darien, CT, 1970.
119. N. L. Johnson and S. Kotz, Distributions in Statistics: Continuous Muhivariate Distributions, Wiley, New York, 1972.
120. M. E. Johnson, Muhivariate Statistical Simulation, Wiley, New York, Wiley, 1987.
121. F. A. Jaberi, R. S. Miller, C. K. Madnia, and P. Givi, Non-Gaussian Scalar Statistics in Homogeneous Turbulence, J. Fluid Meek, 313, 241-282 (1996).
122. P. J. Colucci, Large Eddy Simulation of Turbulent Reactive Flows: Stochastic Representation of the Subgrid Scale Scalar Fluctuations, Thesis, Department of Mechanical and Aerospace Engineering, University at Buffalo, State University of New York, Buffalo, NY, 1998.
123. L.Y.M. Gicquel, Velocity Filtered Density Function for Large Eddy Simulation of Turbulent Flows, Thesis, Department of Mechanical and Aerospace Engineering, University at Buffalo, State University of New York, Buffalo, NY, 2001.
124. T. G. Drozda, Consistency Assessment of Velocity-scalar Filtered Density Function for Large-eddy Sim ulation of Turbulent Flows, Thesis, Department of Mechanical and Aerospace Engineering, University at Buffalo, State University of New York, Buffalo, NY, 2002.
125. M. R. H. Sheikhi, Joint Velocity-Scalar Filtered Density Function for Large Eddy Simulation of Turbulent Reacting Flows, Thesis, Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA, 2006, in progress.
126. T. T. Soong, Random Differential Equations in Science and Engineering, Academic Press, New York, 1973.
127. L. Arnold, Stochastic Differential Equations: Theory and Applications, Krieger, Malabar, FL, 1974.
128. S. Karlin and H. M. Taylor, A Second Course in Stochastic Processes, Academic Press, New York, 1981.
129. C. W. Gardiner, Handbook of Stochastic Methods, Springer-Verlag, New York, 1990.
130. H. Risken, The Fokker-Planck Equation, Methods of Solution and Applications, Springer-Verlag, New York, 1989.
131. S. B. Pope, Lagrangian PDF Methods for Turbulent Flows, Annu. Rev. Fluid Mech., 26, 23-63 (1994).
132. D. C. Haworth and S. B. Pope, A Generalized Langevin Model for Turbulent Flows, Phys. Fluids, 29, 387-405 (1986).
133. T. D. Dreeben and S. B. Pope, Probability Density Function and Reynolds-stress Modeling of Near-wall Turbulent Flows, Phys. Fluids, 9, 154-163 (1997).
134. S. B. Pope, On the Relation Between Stochastic Lagrangian Models of Turbulence and Second-moment Closures, Phys. Fluids, 6, 973-985 (1994).
135. R. Borghi, Turbulent Combustion Modeling, Prog. Energy Combust. Sci, 14, 245-292 (1988).
136. M.R.H. Sheikhi, T. G. Drozda, P. Givi, and S. B. Pope, Velocity-scalar Filtered Density Function for Large Eddy Simulation of Turbulent Flows, Phys. Fluids, 15, 2321-2337 (2003).
137. 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, 499-515 (1998).
138. 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 Meek, 401, 85-121 (1999).
139. L.Y.M. Gicquel, P. Givi, F. A. Jaberi, and S. B. Pope, Velocity Filtered Density Function for Large Eddy Simulation of Turbulent Flows, Phys. Fluids, 14, 1196-1213 (2002).
140. M.R.H. Sheikhi, T. G. Drozda, P. Givi, F. A. Jaberi, and S. B. Pope, Large Eddy Simulation of a Turbulent Nonpremixed Piloted Methane Jet Flame (Sandia Flame D), Proc. Combust. Inst., 30, 549-556 (2005).
141. S. Heinz, On Fokker-Planck Equations for Turbulent Reacting Flows, Part 2: Filtered Density Function for Large Eddy Simulation, Flow, Turbulence and Combustion, 70, 153-181 (2003).
142. S. B. Pope, Computations of Turbulent Combustion: Progress and Challenges, Proc. Combust. Inst., 23, 591-612 (1990).
143. F. Gao and E. E. O'Brien, A Large-eddy Simulation Scheme for Turbulent Reacting Flows, Phys. Fluids A, 5, 1282-1284 (1993).
144. S. C. Garrick, F. A. Jaberi, and P. Givi, Large Eddy Simulation of Scalar Transport in a Turbulent Jet Flow, in D. Knight and L. Sakell (eds.), Recent Advances in DNS and LES, Fluid Mechanics and its Applications, Vol. 54, pp. 155-166, Kluwer Academic, The Netherlands, 1999.
145. S. James and F. A. Jaberi, Large Scale Simulations of Two-dimensional Nonpremixed Methane Jet Flames, Combust. Flame, 123, 465-487 (2000).
146. X. Y. Zhou and J.C.F. Pereira, Large Eddy Simulation (2D) of a Reacting Plan Mixing Layer Using Filtered Density Function," Flow, Turbulence and Combustion, 64, 279-300 (2000).
147. V. Raman, D. Cook, and H. Pitsch, Hybrid LES/FDF Simulation of a Non-premixed Bluff-body Stabilized Flame, Bull. Am. Phys. Soc, 49, 57-58 (2004).
148. D. J. Glaze, S. H. Frankel, and J. C. Hewson, Non-premixed Turbulent Jet Mixing Using LES with the FMDF Model, in 30th International Symposium on Combustion, Abstracts of Work-in-Progress Posters, Pittsburgh, PA, p. 79, The Combustion Institute, 2004.
149. V. Raman, H. Pitsch, and R. O. Fox, Consistent Hybrid LES-FDF Formulation for the Simulation of Tur bulent Combustion, in Annual Research Briefs-2004, 231-241, Center for Turbulence Research, NASA Ames Research Center/Stanford University, Stanford, CA, 2004.
150. L. Lu, Z. Ren, V. Raman, S. B. Pope, and H. Pitsch, LES/FDF/ISAT Computations of Turbulent Flames, in Proceedings of the 2004 Summer Program, Stanford, CA, pp. 283-294, Center for Turbulence Research, NASA Ames Research Center/Stanford University, 2004.
151. J. Reveillon and L. Vervisch, Subgrid-scale Turbulent Micromixing: Dynamic Approach, A1AA J., 36, 336-341 (1998).
152. C. M. Cha and P. Troullet, A Subgrid-scale Mixing Model for Large-eddy Simulations of Turbulent Reacting Flows Using the Filtered Density Function, Phys. Fluids, 15, 1496-1504 (2003).
153. C. Tong, Measurements of Conserved Scalar Filtered Density Function in a Turbulent Jet, Phys. Fluids, 13, 2923-2937 (2001).
154. D. Wang and C. Tong, Conditionally Filtered Scalar Dissipation, Scalar Diffusion, and Velocity in a Turbulent Jet, Phys. Fluids, 14, 2170-2185 (2002).
155. A. G. Rajagopalan and C. Tong, Experimental Investigation of Scalar-scalar-dissipation Filtered Joint Density Function and Its Transport Equation, Phys. Fluids, 15, 227-244 (2003).
156. E. van Vliet, J. J. Derksen, and H.E.A. van den Akker, Turbulent Mixing in a Tubular Reactor: Assessment of an FDF/LES Approach, AIChE J., 51, 725-739 (2005).
157. D. Wang, C. Tong, and S. B. Pope, Experimental Study of Velocity Filtered Joint Density Function for Large Eddy Simulation, Phys. Fluids, 16, 3599-3613 (2004).
158. D. Wang and C. Tong, Experimental Study of Velocity-scalar Filtered Joint Density Function for LES of Turbulent Combustion, Proc. Combust. Inst., 30, 567-574 (2005).
159. A. Chandy, G. M. Goldin, and S. H. Frankel, Modeling Turbulent Nonpremixed Jet Flames Using Fluent's PDF Transport Model: Effect of Mixing Model on Flame Extinction, in 30th International Symposium on Combustion, Abstracts of Work-in-Progress Posters, Pittsburgh, PA, p. 447, The Combustion Institute, 2004.
160. S. B. Pope, A Monte Carlo Method for the PDF Equations of Turbulent Reactive Flow, Combust. Sci. Technol., 25, 159-174 (1981).
161. S. B. Pope, PDF Methods for Turbulent Reactive Flows, Prog. Energy Combust. Sci. 11, 119-192 (1985).
162. A. J. Chorin and J. E. Marsden, A Mathematical Introduction to Fluid Mechanics, Springer-Verlag, New York, 1979.
163. A. Majda, Vortex Dynamics: Numerical Analysis, Scientific Computing, and Mathematical Theory, in J. McKenna and R. Temam (eds.), ICIAM '87, pp. 153-182, Society for Industrial and Applied Mathe matics, Philadelphia, PA, 1988.
164. T. Sarpkaya, Computational Methods with Vortices-The 1988 Freeman Scholar Lecture, ASMEJ. Fluids Eng., Ill, 5-52 (1989).
165. K. E. Gustafson and J. A. Sethian (eds.), Vortex Methods and Vortex Motion, SIAM, Philadelphia, PA, 1991.
166. M. Grigoriu, Applied Non-Gaussian Processes, Prentice-Hall, Englewood Cliffs, NJ, 1995.
167. P. E. Kloeden, E. Platen, and H. Schurz, Numerical Solution of Stochastic Differential Equations Through Computer Experiments, corrected second printing ed., Springer-Verlag, New York, 1997.
168. D. C. Haworth and S. B. Pope, A Second-order Monte Carlo Method for the Solution of the Ito Stochastic Differential Equation, Stochast. Anal. Applic, 4, 151-186 (1986).
169. D. C. Haworth and S. B. Pope, Monte Carlo Solutions of a Joint PDF Equation for Turbulent Flows in General Orthogonal Coordinates, J. Comput. Phys., 72, 311-346 (1987).
170. S. B. Pope, Particle Method for Turbulent Flows: Integration of Stochastic Model Equations, J. Comput. Phys., 117, 332-349 (1995).
171. J. Xu and S. B. Pope, Assessment of Numerical Accuracy of PDF/Monte Carlo Methods for Turbulent Reacting Flows, J. Comput. Phys., 152, 192-230 (1999).
172. P. E. Kloeden and E. Platen, of Applications of Mathematics, Stochastic Modelling and Applied Prob ability, Vol. 23: Numerical Solution of Stochastic Differential Equations, Springer-Verlag, New York, 1995.
173. P. Billingsly, Probability and Measure, Wiley, New York, 1979.
174. D. T. Gillespie, Markov Processes, An Introduction for Physical Scientists, Academic Press, New York, 1992.
175. K. Ito, Memoirs of the American Mathematical Society, Vol. 4: On Stochastic Differential Equations, American Math. Society, Providence, RI, 1951.
176. I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations, Springer-Verlag, New York, 1972.
177. M. Muradoglu, P. Jenny, S. B. Pope, and D. A. Caughey, A Consistent Hybrid-volume/Particle Method for the PDF Equations of Turbulent Reactive Flows, J. Comput. Phys., 154, 342-371 (1999).
178. 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, 841-878 (2001).
179. S. L. Yilmaz, Thesis, Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA, 2006, in progress.
180. K. Mehravaran, Thesis, Department of Mechanical Engineering, Michigan State University, East Lansing, MI, 2005, in progress.
181. R. Scardovelli and S. Zaleski, Direct Numerical Simulation of Free-surface and Interfacial Flow, Annu. Rev. Fluid Meek, 31, 567-603 (1999).
182. W. Shyy and R. Narayanan, Fluid Dynamics at Interfaces, Cambridge University Press, Cambridge, UK, 1999.
183. R. V. R. Pandya and F. Mashayek, Two-fluid Large-eddy Simulation Approach for Particle-laden Turbu lent Flows, Int. J. Heat Mass Transfer, 45, 4753-4759 (2002).
184. J. A. Sethian and P. Smereka, Level Set Methods for Fluid Interfaces, Annu. Rev. Fluid Meek, 35, 341-372 (2003).
185. F. Mashayek and R. V. R. Pandya, Analytical Description of Particle/Droplet-laden Turbulent Flows, Prog. Energy Combust. Scl, 29, 329-378 (2003).
186. D. Lakehal, On the Modeling of Multiphase Turbulent Flows for Environmental and Hydrodynamic Applications, Int. J. Multiphase Flow, 28, 823-863 (2002).
187. M. Herrmann, Modeling Primary Breakup: Three-dimensional Eulerian Level Set/Vortex Sheet Method for Two-phase Interface Dynamics, tech. rep., Center for Turbulence Research Annual Brief, Stanford University, Stanford, CA, 2003.
188. G. M. Faeth, Mixing, Transport and Combustion in Sprays, Prog. Energy Combust. Sci., 13, 293-345 (1987).
189. J. S. Shirolkar, C.F.M. Coimbra, and M. Q. McQuay, Fundamental Aspects of Modeling Turbulent Particle Dispersion in Dilute Flows, Prog. Energy Combust. Sci., 22, 363-399 (1996).
190. C. Crowe, M. Sommerfeld, and Y. Tsuji, Multiphase Flows Droplets and Particles, CRC Press, Boca Raton, FL, 1998.
191. W. A. Sirignano, Fluid Dynamics and Transport of Droplets and Sprays, Cambridge University Press, Cambridge, UK, 1999.
192. J. Bellan, Perspectives on Large Eddy Simulations for Sprays: Issues and Solutions, Atomization and Sprays, 10, 409-425 (2000).
193. E. Loth, Numerical Approaches for Motion of Dispersed Particles, Droplets and Bubbles, Prog. Energy Combust. Sci., 26, 161-223 (2000).
194. S. V. Apte, M. Gorokhovski, and P. Moin, LES of Atomizing Spray with Stochastic Modeling of Secondary Breakup, Int. J. Multiphase Flow, 29, 1503-1522 (2003).
195. H. Salman and M. Soteriou, Lagrangian Simulation of Evaporating Droplet Sprays, Phys. Fluids, 16, 4601-4622 (2004).
196. T. Seta, K. Kono, and S. Chen, Lattice Boltzmann Method for Two-phase Flows, Int. J. Mod. Phys. B, 17, 169-172 (2003).
197. S. Chen and G. D. Doolen, Lattice Boltzmann Method for Fluid Flows, Annu. Rev. Fluid Meek, 30, 329-364 (1998).
198. J. R. Cressman, J. Davoudi, W. I. Goldburg, and J. Schumacher, Eulerian and Lagrangian Studies in Surface Flow Turbulence, New J. Phys. 6(53) (2004).
199. A. H. Lefebrvre, Atomization and Sprays, Hemisphere, New York, 1989.
200. S. P. Lin and R. D. Reitz, Droplet and Spray Formation from a Liquid Jet, Annu. Rev. Fluid Mech., 30, 85-105 (1998).
201. J. C. Lasheras and E. J. Hopfinger, Liquid Jet Instability and Atomization in a Coaxial Gas Stream, Annu. Rev. Fluid Mech. 32, 275-308 (2000).
202. F. Yeh and U. Lei, On the Motion of Small Particles in a Homogeneous Isotropic Turbulent Flow, Phys. Fluids, 3, 2571-2586 (1991).
203. F. Yeh and U. Lei, On the Motion of Small Particles in a Homogeneous Turbulent Shear Flow, Phys. Fluids, 3, 2758-2776 (1991).
204. K. Nadaoka, Y. Nihei, and H. Yagi, Grid-averaged Lagrangian LES Model for Multiphase Turbulent Flows, Int. J. Multiphase Flow, 25, 1619-1643 (1999).
205. M. Boivin, O. Simonin, and K. D. Squires, On the Prediction of Gas-Solid Flows with Two-way Coupling Using Large Eddy Simulation, Phys. Fluids, 12, 2080-2090 (2000).
206. S. Yuu, T. Ueno, and T. Umekage, Numerical Simulation of the High Reynolds Number Slit Nozzle Gas-Particle Jet Using Subgrid-scale Coupling, Chem. Eng. Sci., 56, 4293-4307 (2001).
207. S. V. Apte, K. Mahesh, P. Moin, and J. C. Oefelein, Large-eddy Simulation of Swirling Particle-laden Flows in a Coaxial-jet Combustor, Int. J. Multiphase Flow, 29, 1311-1331 (2003).
208. A. Afshari, T. Almeida, K. Mehravaran, and F. A. Jaberi, Large Scale Simulations of Turbulent Com bustion and Propulsion Systems, in Proceedings of the Seventeen ONR Propulsion Meeting, pp. 41-46, 2004.
209. J. K. Dukowicz, Particle-fluid Numerical Model for Liquid Sprays, /. Comput. Phys., 35, 229-253 (1980).
210. D. P. Schmidt and C. J. Rutland, A New Droplet Collision Algorithm, J. Comput. Phys., 164, 62-80 (2000).
211. S. L. Post and J. Abraham, Modeling the Outcome of Drop-Drop Collisions in Diesel Sprays, Int. J. Multiphase Flow, 28, 997-1019 (2002).
212. M. Gorokhovski and A. Chtab, Hypothetical Heavy Particles Dynamics in LES of Turbulent Dispersed Two-phase Channel Flow, in Annual Research Briefs-2003', pp. 205-211, Center for Turbulence Research, NASA Ames Research Center / Stanford University, Stanford, CA, 2003.
213. Y. Yamamoto, M. Potthoff, T. Tanaka, T. Kajishima, and Y. Tsuji, Large Eddy Simulation of Turbu lent Gas-Particle Flow in a Vertical Channel: Effect of Considering Inter-particle Collisions, J. Fluid. Meek, 442, 303-334 (2001).
214. S. V. Apte, K. Mahesh, and T. Lundgren, An Eulerian-Lagrangian Model to Simulate Two-phase/Particulate Flows, in Annual Research Briefs-2003, pp. 161-171, Center for Turbulence Research, NASA Ames Research Center / Stanford University, Stanford, CA, 2003.
215. L. Shen and D. Yue, Large-eddy Simulation of Free-surface Turbulence, J. Fluid Meek, 440, 75-116 (2001).
216. N. Okong'o and J. Bellan, Consistent Large Eddy Simulation of a Temporal Mixing Layer Laden with Evaporating Drops, Part 1: Direct Numerical Simulation, Formulation, and a Priori Analysis, J. Fluid Meek, 4,99, 1-47 (2004).
217. A. Leboissetier, N. Okong'o, and J. Bellan, Consistent Large Eddy Simulation of a Temporal Mixing Layer Laden with Evaporating Drops, Part 2: A Posteriori Modeling, J. Fluid Meek, 523, 37-78 (2005).