Large-eddy simulations for internal combustion engines - A review

International Journal of Engine Research

Volumn 12, Issue 5, 2011, Pages 421-451

  Rutland, C J ^a  

^a University of Wisconsin Madison   (United States)

Author keywords

CFD; Combustion; Engines; LES; Sprays; Turbulence

Indexed keywords

FUTURE PROSPECTS; LES; LIQUID SPRAY; SPRAYS; TURBULENCE MODELLING;

COMBUSTION; COMPUTATIONAL FLUID DYNAMICS; INTERNAL COMBUSTION ENGINES; LARGE EDDY SIMULATION; TURBULENCE;

ENGINES;

EID: 80054809556     PISSN: 14680874     EISSN: 20413149     Source Type: Journal    
DOI: 10.1177/1468087411407248     Document Type: Review

References (165)

1. Niatoh, K., Ito, H., and Takagi, Y. Large eddy simulation of premixed-flame in engine based on the multi-level formulation and the renormalization group theory. SAE paper 920590, 1992.
2. Ferziger, J. H. Simulation of complex turbulent flows: Recent advances and prospects in wind engineering. J. Wind Eng. Ind. Aerodyn., 1993, 46-47, 195-212.
3. Fureby, C., Tabor, G., Weller, H. G., and Gosman, A. D. A comparative study of subgrid scale models in homogeneous isotropic turbulence. Phys. Fluids, 1997, 9(5), 1416-1429.
4. Fureby, C. Towards the use of large eddy simulation in engineering. Prog. Aerosp. Sci., 2008, 44(6), 381-396.
5. Geurts, B. J. Modern simulation strategies for turbulent flow, 2001 (Edwards, Philadelphia, PA).
6. Piomelli, U. Large-eddy simulation: Achievements and challenges. Prog. Aerosp. Sci., 1999, 35, 335-362.
7. Pope, S. B. Ten questions concerning the largeeddy simulation of turbulent flows. New J. Phys., 1999, 6(35), 1-24.
8. Poinsot, T. and Veynante, D. Theoretical and numerical combustion, 2005 (Edwards, Philadelphia, PA).
9. Pope, S. B. Turbulent flows, 2000 (Cambridge University Press, Cambridge, UK).
10. Kaario, O., Pokela, H., Kjäldman, L., Tiainen, J., and Larmi, M. LES and RNG turbulence modeling in DI diesel engines. SAE paper 2003-01-1069, 2003.
11. Germano, M., Piomelli, U., Moin, P., and Cabot, W. H. A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A: Fluid Dyn., 1991, 3(7), 1760-1765.
12. Lu, H., Rutland, C. J., and Smith, L. M. A priori test of one-equation LES modeling of rotating turbulence. J. Turb., 2007, 8(37), pp. 127, DOI: 10.1080/14685240701493947.
13. Ferziger, J. H. Simulation of incompressible turbulent flows. J. Comput. Phys., 1987, 69(1), 1-48.
14. Clark, R. A., Ferziger, J. H., and Reynolds, W. C. Evaluations of subgrid-scale models using an accurately simulated turbulent flow. J. Fluid Mech., 1979, 91, 1-16. (Pubitemid 9447450)
15. Hu, B., Jhavar, R., Singh, S., Reitz, R. D., and Rutland, C. J. Combustion modeling of diesel combustion with partially premixed conditions. SAE paper 2007-01-0163, 2007.
16. Pitsch, H. Large-eddy simulation of turbulent combustion. Ann. Rev. Fluid Mech., 2006, 38(1), 453-482. (Pubitemid 43240184)
17. Kempf, A., Flemming, F., Janicka, J., Bellan, J., Gore, J. P., and Ihme, M. Investigation of lengthscales, scalar dissipation, and flame orientation in a piloted diffusion flame by LES, Proceedings of the Combustion Institute, 2005, 30, pp. 557-565.
18. Smagorinsky, J. General circulation experiments with the primitive equations. Mon. Weather Rev., 1963, 91(3), 99-164.
19. Jimeénez, C., Ducros, F., Cuenot, B., and Beé- dat, B. Subgrid scale variance and dissipation of a scalar field in large eddy simulations. Phys. Fluids, 2001, 13(6), 1748.
20. Boris, J. P., Grinstein, F. F., Oran, E. S., and Kolbe, R. L. New insights into large eddy simulation. Fluid Dyn. Res., 1992, 10(4-6), 199-228. (Pubitemid 23624742)
21. Celik, I., Yavuz, I., Smirnov, A., Smith, J., Amin, E., and Gel, A. Prediction of in-cylinder turbulence for IC engines. Combust. Sci. Technol., 2000, 153(1), 339-368.
22. Amsden, A. KIVA-3V: A block-structure KIVA program for engines with vertical or canted valves. Los Alamos Report LA-13313-MS, (T3 Group internal report, approved for public release), 1997.
23. Celik, I., Yavuz, I., and Smirnov, A. Large eddy simulations of in-cylinder turbulence for internal combustion engines: A review. Int. J. Engine Res., 2001, 2(2), 119-148. (Pubitemid 33349631)
24. Nicoud, F. and Ducros, F. Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow, Turbul. Combust., 1999, 62, 183-200.
25. Moureau, V., Barton, I., Angelberger, C., and Poinsot, T. Towards large eddy simulation in internal- combustion engines: Simulation of a compressed tumble flow. SAE paper 2004-01-1995, 2004.
26. Devesa, A., Moreau, J., Poinsot, T., and Helie, J. Large eddy simulations of jet / tumble interaction in a GDI model engine flow. SAE paper 2004-01- 1997, 2004.
27. Frusiani, F., Forte, C., and Bianchi, G. M. Assessment of a numerical methodology for large eddy simulation of ice wall bounded non-reactive flows. SAE paper 2007-01-4145, 2007.
28. Brusiani, F. and Bianchi, G. M. LES simulation of ICE non-reactive flows in fixed grids. SAE paper 2008-01-0959, 2008.
29. Bardina, J., Ferziger, J. H., and Reynolds, W. C. Improved subgrid-scale models for large eddy simulation. AIAA paper AIAA 1980-1357, 1980.
30. Meneveau, C. and Katz, J. Scale-invariance and turbulence models for large-eddy simulation. Ann. Rev. Fluid Mech., 2000, 32(1), 1-32.
31. Yu, R., Bai, X. S., Hildingsson, L., Hultqvist, A., and Miles, P. Numerical and experimental investigation of turbulent flows in a diesel engine. SAE paper 2006-01-3436, 2006.
32. Meneveau, C., Lund, T. S., and Cabot, W. H. A Lagrangian dynamic subgrid-scale model of turbulence. J. Fluid Mech., 1996, 319, 353-385.
33. Haworth, D. C. Large-eddy simulation of incylinder flows. Oil Gas Sci. Technol., 1999, 54(2), 175-185.
34. Haworth, D. C. and Jansen, K. Large-eddy simulation on unstructured deforming meshes: Towards reciprocating IC engines. Comput. Fluids, 2000, 29(5), 493-524. (Pubitemid 30234117)
35. Yoshizawa, A. and Horiuti, K. A statistically-derived subgrid-scale kinetic energy model for the largeeddy simulation of turbulent flows. J. Phys. Soc. Japan, 1985, 54(8), 2834-2839. (Pubitemid 15601900)
36. Kim, W. -W. and Menon, S. A new dynamic oneequation subgrid scale model for large-eddy simulations. AIAA paper 95-0356, 1995.
37. Nelson, C. and Menon, S. Unsteady simulations of compressible spatial mixing layers. AIAA paper AIAA 98-0786, 1998.
38. Kim, W.- W., Menon, S., and Mongia, H. C. Largeeddy simulation of a gas turbine combustor flow. Combust. Sci. Technol., 1999, 143(1), 25-62. (Pubitemid 30506560)
39. Sone, K. and Menon, S. Effect of subgrid modeling on the in-cylinder unsteady mixing process in a direct injection engine. J. Eng. Gas Turbine Power, 2003, 125(2), 435.
40. Pomraning, E. and Rutland, C. J. Dynamic oneequation nonviscosity large-eddy simulation model. AIAA J., 2002, 40(4), 689-701. (Pubitemid 34555107)
41. Chumakov, S. G. and Rutland, C. J. Dynamic structure subgrid-scale models for large eddy simulation. Int. J. Numer. Methods Fluids, 2005, 47(8-9), 911-923. (Pubitemid 40413127)
42. Lu, H., Rutland, C. J., and Smith, L. M. A posteriori tests of one-equation LES modeling of rotating turbulence. Int. J. Mod. Phys. C, 2008, 19(12), 1949-1964.
43. Jhavar, R. and Rutland, C. J. Using large eddy simulations to study mixing effects in early injection diesel engine combustion. SAE paper 2006-01- 0871, 2006.
44. Banerjee, S., Liang, T., Rutland, C. J., and Hu, B. Validation of an LES multi mode combustion model for diesel combustion. SAE paper 2010-01- 0361, 2010.
45. Kannepalli, C. and Piomelli, U. Large-eddy simulation of a three-dimensional shear-driven turbulent boundary layer. J. Fluid Mech., 2000, 423, 175-203.
46. Chang III, P. A., Piomelli, U., and Blake, W. K. Relationship between wall pressure and velocityfield sources. Phys. Fluids, 1999, 11(11), 3434-3448. (Pubitemid 129504479)
47. Cabot, W. and Moin, P. Approximate wall boundary conditions in the large-eddy simulation of high Reynolds number flow. Flow, Turbul. Combust., 2000, 63(1), 269-291.
48. Piomelli, U. Wall-layer models for large-eddy simulations. Prog. Aerosp. Sci., 2008, 44(6), 437-446.
49. Frohlich, J. and von Terzi, D. Hybrid LES/RANS methods for the simulation of turbulent flows. Prog. Aerosp. Sci., 2008, 44(5), 349-377.
50. Rodi, W., Ferziger, J. H., Breuer, M., and Pourquie , M. Status of large eddy simulation: Results of a workshop. J. Fluids Eng., Trans. ASME, 1997, 119(2), 248-262. (Pubitemid 127560731)
51. Ghosal, S. and Moin, P. The basic equations for the large eddy simulation of turbulent flows in complex geometry. J. Comput. Phys., 1995, 118, 24-37.
52. Hori, T., Kuge, T., Senda, J., and Fujimoto, H. Large eddy simulation of diesel spray combustion with eddy-dissipation model and CIP method by use of KIVALES. SAE paper 2007-01-0247, 2007.
53. Hori, T., Kuge, T., Senda, J., and Fujimoto, H. Effect of convective schemes on LES of fuel spray by use of KIVALES. SAE paper 2008-01-0930, 2008.
54. Thobois, L., Rymer, G., Soulères, T., and Poinsot, T. Large-eddy simulation in IC engine geometries. SAE paper 2004-01-1854, 2004.
55. Thobois, L., Lauvergne, R., and Poinsot, T. Using LES to investigate reacting flow physics in engine design process. SAE paper 2007-01-0166, 2007.
56. Reitz, R. D. and Rutland, C. J. Development and testing of diesel engine CFD models. Prog. Energy Combust. Sci., 1995, 21(2), 173-196.
57. Liang, L., Reitz, R. D., Iyer, C. O., and Yi, J. Modeling knock in spark-ignition engines using a Gequation combustion model incorporating detailed chemical kinetics. SAE paper 2007-01- 0165, 2007.
58. Attard, W. P., Toulson, E., Watson, H., and Hamori, F. Abnormal combustion including mega knock in a 60% downsized highly turbocharged PFI engine. SAE paper 2010-01-1456, 2010.
59. Vermorel, O., Richard, S., Colin, O., Angelberger, C., Benkenida, A., and Veynante, D. Towards the understanding of cyclic variability in a spark ignited engine using multi-cycle LES. Combust. Flame, 2009, 156(8), 1525-1541.
60. Menon, S. Subgrid combustion modelling for large-eddy simulations. Int. J. Engine Res., 2000, 1(2), 209-227.
61. Veynante, D. and Vervisch, L. Turbulent combustion modelling. Prog. Energy Combust. Sci., 2002, 28(3), 193-266.
62. Hilbert, R., Tap, F., El-Rabii, H., and Thevenin, D. Impact of detailed chemistry and transport models on turbulent combustion simulations. Prog. Energy Combust. Sci., 2004, 30(1), 61-117.
63. Zhang, Y., Ghandhi, J. B., Petersen, B., and Rutland, C. J. Large eddy simulation of scalar dissipation rate in an internal combustion engine. SAE paper 2010-01-0625, 2010.
64. Kong, S.-C. and Reitz, R. D. Use of detailed chemical kinetics to study HCCI engine combustion with consideration of turbulent mixing effects. J. Eng. Gas Turbines Power, 2002, 124(3), 702-707. (Pubitemid 36209813)
65. Yang, S. and Reitz, R. D. Integration of a continuous multi-component fuel evaporation model with an improved G-equation combustion and detailed chemical kinetics model with application to GDI engines. SAE paper 2009-01-0722, 2009.
66. Kokjohn, S., Hanson, R. M., Splitter, D. A., and Reitz, R. D. Experiments and modeling of dual-fuel HCCI and PCCI combustion using in-cylinder fuel blending. SAE paper 2009-01-2647, 2009.
67. Shi, Y., Kokjohn, S., Ge, H., and Reitz, R. D. Efficient multidimensional simulation of HCCI and DI engine combustion with detailed chemistry. SAE paper 2009-01-0701, 2009.
68. Liang, L., Naik, C. V., Puduppakkam, K., Wang, C., Modak, A., Meeks, E., Ge, H., Reitz, R. D., and Rutland, C. J. Efficient simulation of diesel engine combustion using realistic chemical kinetics in CFD. SAE paper 2010-01-0178, 2010.
69. Galpin, J., Angelberger, C., Naudin, A., and Vervisch, L. Large-eddy simulation of H 2-air autoignition using tabulated detailed chemistry. J. Turbul., 2008, 9(13), 1-21.
70. Fiorina, B., Vicquelin, R., Auzillon, P., Darabiha, N., Gicquel, O., and Veynante, D. A filtered tabulated chemistry model for LES of premixed combustion. Combust. Flame, 2010, 157(3), 465-475.
71. Barths, H., Antoni, C., and Peters, N. Threedimensional simulation of pollutant formation in a DI diesel engine using multiple interactive flamelets. SAE paper 982459, 1998.
72. Hergart, C., Barths, H., and Peters, N. Modeling the combustion in a small-bore diesel engine using a method based on representative interactive flamelets. SAE paper 1999-01-3550, 1999.
73. Hasse, C., Barths, H., and Peters, N. Modelling the effect of split injections in diesel engines using representative interactive flamelets. SAE paper 1999- 01-3547, 1999.
74. Felsch, C., Luckhchoura, V., Weber, J. Peters, N., Hasse, C., Wiese, W., Pischinger, S., Kolbeck, A., and Adomeit, P. Applying representative interactive flamelets (rif) with special emphasis on pollutant formation to simulate a DI diesel engine with roof-shaped combustion chamber and tumble charge motion. SAE paper 2007- 01-0167, 2007.
75. Abraham, J., Bracco, F. V., and Reitz, R. D. Comparison of computed and measured premixed charged engine combustion. Combust. Flame, 1985, 60(3), 309-322. (Pubitemid 15528498)
76. Kong, S. -C. and Reitz, R. D. Multidimensional modeling of diesel ignition and combustion using a multistep kinetics models. J. Eng. Gas Turbines Power, 1993, 115(4), 781-789.
77. Rao, S. and Rutland, C. J. A flamelet time scale model for non-premixed combustion including chemical kinetic effects. Combust. Flame, 2003, 133(1-2), 189-191. (Pubitemid 36547806)
78. Hu, B. and Rutland, C. J. Flamelet modeling with LES for diesel engine simulations. SAE paper 2006- 01-0058, 2006.
79. Bray, K. N. C. Interaction between turbulence and combustion. In 17th International Symposium on Combustion, 1979, pp. 223-233 (Combustion Institute).
80. Kerstein, A., Ashurst, W., and Williams, F. Field equation for interface propagation in an unsteadyhomogeneous flow field. Phys. Rev. A, 1988, 37(7), 2728-2731.
81. Zimont, V. L. Correlation between two approaches to combustion modeling based on the progress variable the scalar G. In 29th International Symposium on Combustion, 2001, vol. 29 (Combustion Institute).
82. Zimont, V. L., Polifke, W., Bettelini, M., and Weisenstein, W. An efficient computational model for premixed turbulent combustion at high Reynolds numbers based on a turbulent flame speed closure. J. Eng. Gas Turbines Power, 1998, 120(3), 526-532. (Pubitemid 128594543)
83. Yu, R., Bai, X. S., Vressner, A., Hultqvist, A., Johansson, B., Olofsson, J., Seyfried, H., Sjoholm, J., Richter, M., and Alden, M. Effect of turbulence on HCCI combustion. SAE paper 2007- 01-0183, 2007.
84. Joelsson, T., Yu, R., Bai, X. S., Vressner, A., and Johansson, B. Large eddy simulation and experiments of the auto-ignition process of lean ethanol/ air mixture in HCCI engines. SAE paper 2008-01- 1668, 2008.
85. Vressner, A., Egnell, R., and Johansson, B. combustion chamber geometry effects on the performance of an ethanol fueled HCCI engine. SAE paper 2008-01-1656, 2008.
86. Colin, O., Ducros, F., Veynante, D., and Poinsot, T. A thickened flame model for large eddy simulations of turbulent premixed combustion. Phys. Fluids, 2000, 12(7), 1843-1863. (Pubitemid 30454309)
87. Peters, N. Turbulent combustion, 2000 (Cambridge University Press, Cambridge, UK).
88. Im, H. G., Lund, T. S., and Ferziger, J. H. Large eddy simulation of turbulent front propagation with dynamic subgrid models. Phys. Fluids, 1997, 9(12), 3826-3833. (Pubitemid 127652038)
89. Marble, F. E. and Broadwell, J. E. The coherent flame model for turbulent chemical reactions. Project Squid Report, TRW-9-PU, 1977.
90. Candel, S. M. and Poinsot, T. Flame stretch and the balance equation for the flame area. Combust. Sci. Technol., 1990, 70, 1-15.
91. Ducros, F., Veynante, D., and Poinsot, T. A comparison of flamelet models for premixed turbulent combustion. Combust. Flame, 1993, 95, 101-117. (Pubitemid 23284728)
92. Angelberger, C., Poinsot, T., and Delhay, B. Improving near-wall combustion and wall heat transfer modeling in SI engine computations. SAE paper 972881, 1997.
93. Henriot, S., Chaouche, A., Cheve, E., and Duclos, J. M. CFD aided development of a Si-Di engine. Oil Gas Sci. Technol., 1999, 54(2), 279-286.
94. Colin, O., Benkenida, A., and Angelberger, C. 3d modeling of mixing, ignition and combustion phenomena in highly stratified gasoline engines. Oil Gas Sci. Technol., 2003, 58(1), 47-62. (Pubitemid 36339622)
95. Colin, O. and Benkenida, A. The 3-zones extended coherent flame model (Ecfm3z) for computing premixed/ diffusion combustion. Oil Gas Sci. Technol., 2004, 59(6), 593-609.
96. Subramanian, G., Vervisch, L., and Ravet, F. New developments in turbulent combustion modelling for engine design: ECFM-CLEH combustion submodel. SAE paper 2007-01-0154, 2007.
97. Shi, X., Li, G., and Zheng, Y. DI diesel engine combustion modeling based on ECFM-3Z model. SAE paper 2007-01-4138, 2007.
98. CD-Adapco. STAR-CD, Version 3.26, User manual, 2006
99. Weller, H. G., Tabor, G., Gosman, A. D., and Fureby, C. Application of a flame-wrinkling LES combustion model to a turbulent mixing layer. In Symposium (International) on Combustion, 1998, 27(1), pp. 899-907.
100. Musculus, M. and Rutland, C. J. Coherent flamelet modeling of diesel engine combustion. Combust. Sci. Technol., 1995, 104, 295-337.
101. Richard, S., Colin, O., Vermorel, O., Benkenida, A., Angelberger, C., and Veynante, D. Towards large eddy simulation of combustion in spark ignition engines. In Proceedings of the Combustion Institute, 2007, vol. 31(2), pp. 3059-3066. (Pubitemid 47424332)
102. Cook, A. W., Riley, J. J., and Kosály, G. A laminar flamelet approach to subgrid-scale chemistry in turbulent flows. Combust. Flame, 1997, 109(3), 332-341.
103. Pierce, C. D. and Moin, P. A dynamic model for subgrid-scale variance and dissipation rate of a conserved scalar. Phys. Fluids, 10(12), 3041-3044.
104. DesJardin, P. E. and Frankel, S. H. Large eddy simulation of a nonpremixed reacting jet: Application and assessment of subgrid-scale combustion models. Phys. Fluids, 1998, 10(9), 2298-2314. (Pubitemid 128591616)
105. Pitsch, H. and Steiner, H. Large-eddy simulation of a turbulent piloted methane/air diffusion flame (Sandia flame D). Phys. Fluids, 2000, 12(10), 2541-2554.
106. Galpin, J., Naudin, A., Vervisch, L., Angelberger, C., Colin, O., and Domingo, P. Largeeddy simulation of a fuel-lean premixed turbulent swirl-burner. Combust. Flame, 2008, 155(1-2), 247-266.
107. Lee, D., Pomraning, E., and Rutland, C. J. LES modeling of diesel engines. SAE paper 2002-01- 2779, 1995.
108. Li, Y. H. and Kong, S. -C. Diesel combustion modelling using LES turbulence model with detailed chemistry. Combust. Theory Model., 2008, 12(2), 205-219. (Pubitemid 351460675)
109. Klimenko, A. Y. Multicomponent diffusion of various admixtures in turbulent flow. Fluid Dyn., 1990, 25, 327-334.
110. Bilger, R. W. Conditional moment closure for turbulent reacting flow. Phys. Fluids A, 1993, 5(2), 436-444.
111. Wright, Y., Depaola, G., Boulouchos, K., and Mastorakos, E. Simulations of spray autoignition and flame establishment with two-dimensional CMC. Combust. Flame, 2005, 143(4), 402-419. (Pubitemid 41735378)
112. Kim, S. H., Hu, K. Y., and Fraser, R. A. Numerical prediction of the autoignition delay in a diesel-like environment by the conditional moment closure model. SAE paper 2000-01-0200, 2000.
113. De Paola, G., Mastorakos, E., Wright, Y. M., and Boulouchos, K. Diesel engine simulations with multi-dimensional conditional moment closure. Combust. Sci. Technol., 2008, 180(5), 883-899. (Pubitemid 351534293)
114. Steiner, H. and Bushe, W. K. Large eddy simulation of a turbulent reacting jet with conditional source-term estimation. Phys. Fluids, 2001, 13(3), 754-769. (Pubitemid 32329457)
115. Triantafyllidis, A. and Mastorakos, E. Implementation issues of the conditional moment closure model in large eddy simulations. Flow, Turbul. Combust., 2010, 84(3), 481-512.
116. Pope, S. B. PDF methods for turbulent reactive flows. Prog. Energy Combust. Sci., 1985, 11(2), 119-192. (Pubitemid 15541710)
117. Haworth, D. C. Progress in probability density function methods for turbulent reacting flows. Prog. Energy Combust. Sci., 2010, 36(2), 168-259.
118. Subramaniam, S. and Haworth, D. C. A probability density function method for turbulent mixing and combustion on three dimensional unstructured deforming grids. Int. J. Engine Res., 2000, 1(2), 171-190.
119. Kung, E. and Haworth, D. C. Transported probability density function (tPDF) modeling for direct-injection internal combustion engines. SAE paper 2008-01-0969, 2008.
120. Ihme, M. and Pitsch, H. Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model 2. Application in LES of Sandia flames D and E. Combust. Flame, 2008, 155(1-2), 90-107.
121. Tamagna, D., Ra, Y., and Reitz, R. D. Multidimensional simulation of PCCI combustion using gasoline and dual-fuel direct injection with detailed chemical kinetics. SAE paper 2007-01- 0190, 2007.
122. Tamagna, D., Gentili, R., Ra, Y., and Reitz, R. D. Multidimensional simulation of the influence of fuel mixture composition and injection timing in gasoline-diesel dual-fuel applications. SAE paper 2008-01-0031, 2008.
123. Moin, P., Squires, K. D., Cabot, W. H., and Lee, S. A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A, 1991, 3(11), 2746-2757.
124. Chumakov, S. G. and Rutland, C. J. Dynamic structure models for scalar flux and dissipation in large eddy simulation. AIAA J., 2004, 42(6), 1132-1139.
125. Chumakov, S. G. A priori study of subgrid-scale flux of a passive scalar in isotropic homogeneous turbulence. Phys. Rev. E, 2008, 78(3), 1-11.
126. Kerstein, A. Linear-eddy modelling of turbulent transport. Part 3. Mixing and differential molecular diffusion in round jets. J. Fluid Mech., 1990, 216, 411-435.
127. Goldin, G. M. and Menon, S. A scalar pdf construction model for turbulent non-premixed combustion. Combust. Sci. Technol., 1997, 125(1- 6), 47-72. (Pubitemid 127595682)
128. Sen, B. A. and Menon, S. Linear eddy mixing based tabulation and artificial neural networks for large eddy simulations of turbulent flames. Combust. Flame, 2010, 157(1), 62-74.
129. Chumakov, S. G. Scaling properties of subgridscale energy dissipation. Phys. Fluids, 2007, 19(5), 058104.
130. Cook, A. W. and Riley, J. J. A subgrid model for equilibrium chemistry in turbulent flows. Phys. Fluids, 1994, 6(8), 2868-2870. (Pubitemid 283744)
131. Cook, A. W. Determination of the constant coefficient in scale similarity models of turbulence. Phys. Fluids, 1997, 9(5), 1485-1487.
132. Colin, O. and Benkenida, A. A new scalar fluctuation model to predict mixing in evaporating two-phase flows. Combust. Flame, 2003, 134(3), 207-227. (Pubitemid 37025920)
133. Amsden, A. KIVA-II: A computer program for chemically reactive flows with sprays. Los Alamos Report LA-11560-MS (T3 Group internal report, approved for public release), 1989.
134. Jiang, X., Siamas, G. A., Jagus, K., and Karayiannis, T. G. Physical modelling and advanced simulations of gas-liquid two-phase jet flows in atomization and sprays. Prog. Energy Combust. Sci., 2010, 36(2), 131-167.
135. Bellan, J. Perspectives on large eddy simulations for sprays: Issues and solutions. Atomization Sprays, 2000, 10(3-5), 409-425. (Pubitemid 33714908)
136. Miller, R. S. and Bellan, J. Direct numerical simulation and subgrid analysis of a transitional droplet laden mixing layer. Phys. Fluids, 2000, 12(3), 650-671.
137. Okongo, N. A. and Bellan, J. A priori subgrid analysis of temporal mixing layers with evaporating droplets. Phys. Fluids, 2000, 12(6), 1573-1591.
138. Okongo, N. A. and Bellan, J. Consistent largeeddy simulation of a temporal mixing layer laden with evaporating drops. Part 1. Direct numerical simulation, formulation and a priori analysis. J. Fluid Mech., 2004, 499, 1-47. (Pubitemid 38225692)
139. Okongo, N. A., Leboissetier, A., and Bellan, J. Detailed characteristics of drop-laden mixing layers: Large eddy simulation predictions compared to direct numerical simulation. Phys. Fluids, 2008, 20, 3479-3493.
140. Vuorinen, V., Larmi, M., and Fuchs, L. Largeeddy simulation on the effect of droplet size distribution on mixing of passive scalar in a spray. SAE paper 2008-01-0933, 2008.
141. Arai, J., Oshima, N., Oshima, M., Ito, H., and Kubota, M. Large eddy simulation of spray injection to turbulent flows from a slit nozzle. SAE paper 2007-01-1403, 2007.
142. Hori, T., Senda, J., Kuge, T., and Fujimoto, H. G. Large eddy simulation of non-evaporative and evaporative diesel spray in constant volume vessel by use of KIVALES. SAE paper 2006-01-3334, 2006.
143. Kamata, S., Nakagawa, H., Hori, T., Senda, J., and Fujimoto, H. G. Instantaneous and statisticalstructures of non-evaporative diesel spray. SAE paper 2007-01-1899, 2007.
144. Fujimoto, H., Hori, T., and Senda, J. Effect of breakup model on diesel spray structure simulated by large eddy simulation. SAE paper 2009- 24-0024, 2009.
145. Pannala, S., Menon, S., and Angeles, I. L. On LEM/LES methodology for two-phase flows. AIAA paper 99-2209, 1999.
146. Bharadwaj, N., Rutland, C. J., and Chang, S. Large eddy simulation modelling of sprayinduced turbulence effects. Int. J. Engine Res., 2009, 10(2), 97-119.
147. Bharadwaj, N. and Rutland, C. J. A large eddy simulation study of sub-grid two-phase interaction in particle laden flows and diesel engine sprays. Atomization Sprays, 2010, 20(8), 673-695.
148. Stolz, S. and Adams, N. A. An approximate deconvolution procedure for large-eddy simulation. Phys. Fluids, 1999, 11(7), 1699-1701.
149. Villiers, E. de, Weller, H. G., and Gosman, A. D. Large eddy simulation of primary diesel spray atomization. SAE paper 2004-01-0100, 2004.
150. Weller, H. G., Tabor, G., Jasak, H., and Fureby, C. A tensorial approach to CFD using object orientated techniques. Comput. Phys., 1998, 12(6), 620-628.
151. OpenCFD Limited. OpenFOAM-The Open-source CFD toolbox, 2010, available from http://www. openfoam.com/.
152. Befrui, B., Corbinelli, G., Robart, D., Reckers, W., and Weller, H. G. LES simulation of the internal flow and near-field spray structure of an outward-opening GDi injector and comparison with imaging data. SAE paper 2008-01-0137, 2008.
153. Bianchi, G. M., Minelli, F., and Scardovelli, R. 3D large scale simulation of the high-speed liquid jet atomization. SAE paper 2007-01-0244, 2007.
154. Drozda, T. G. and Oefelein, J. Large eddy simulation of direct injection processes for hydrogen and LTC engine applications. SAE paper 2008-01- 0939, 2008.
155. Martinez, L., Benkenida, A., and Cuenot, B. A model for the injection boundary conditions in the context of 3D simulation of diesel spray: Methodology and validation. Fuel, 2010, 89(1), 219-228.
156. Reuss, D. L., Kuo, T. -W., Khalighi, B., Haworth, D. C., and Rosalik, M. Particle image velocimetry measurements in a high-swirl engine used for evaluation of computational fluid dynamics calculations. SAE paper 952381, 1995.
157. Reuss, D. L. Cyclic variability of large-scale turbulent structures in directed and undirected IC engine flows. SAE paper 2000-01-0246, 2000.
158. Adomeit, P., Lang, O., Pischinger, S., Aymanns, R., Graf, M., and Stapf, G. Analysis of cyclic fluctuations of charge motion and mixture formation in a DISI engine in stratified operation. SAE paper 2007-01-1412, 2007.
159. Adolph, D., Rezaei, R., Pischinger, S., Adomeit, P., Kö rfer, T., Kolbeck, A., Lamping, M., Tatur, M., and Tomazic, D. Gas exchange optimization and the impact on emission reduction for HSDI diesel engines. SAE paper 2009-01-0654, 2009.
160. Rezaei, R., Pischinger, S., Ewald, J., and Adomeit, P. A new CFD approach for assessment of swirl flow pattern in HSDI diesel engines. SAE paper 2010-32-0037, 2010.
161. Vermorel, O., Richard, S., Colin, O., Angelberger, C., Benkenida, A., and Veynante, D. Multi- cycle LES simulations of flow and combustion in a PFI SI 4-valve production engine. SAE paper 2007-01-0151, 2007.
162. Yu, R., Bai, X. S., Lehtiniemi, H., Ahmed, S. S., Mauss, F., Richter, M., Alden, M., Hildingsson, L., Johansson, B., and Hultqvist, A. Effect of turbulence and initial temperature inhomogeneity on homogeneous charge compression ignition combustion. SAE paper 2006-01-3318, 2006.
163. Yu, R., Joelsson, T., Bai, X. S., and Johansson, B. Effect of temperature stratification on the autoignition of lean ethanol / air mixture in HCCI engine. SAE paper 2008-01-1669, 2008.
164. Chumakov, S. G., Rao, S., and Rutland, C. J. Subgrid scalar mixing and combustion models for large-eddy simulation. In 3rd Joint Meeting of the US Sections of the Combustion Institute, Chicago, pp. 1-5.
165. Lilly, D. K., A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A, 1992, 4, 633-635.