Abstract
Direct numerical simulations (DNS) of turbulent combustion have evolved tremendously in the past decades, thanks to the rapid advances in high performance computing technology. Today’s DNS is capable of incorporating detailed reaction mechanisms and transport properties, with physical parameter ranges approaching laboratory scale flames, thereby allowing direct comparison and cross-validation against laser diagnostic measurements. While these developments have led to significantly improved understanding of fundamental turbulent flame characteristics, there are increasing demands to explore combustion regimes at higher levels of turbulent Reynolds (Re) and Karlovitz (Ka) numbers, with a practical interest in new combustion engines driving towards higher efficiencies and lower emissions. This chapter attempts to provide a brief historical review of the progress in DNS of turbulent combustion during the past decades. Major scientific accomplishments and contributions towards fundamental understanding of turbulent combustion will be summarized and future challenges and research needs will be proposed.
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References
Abdel-Gayed RG, Bradley D, Lawes M (1987) Turbulent burning velocities: a general correlation in terms of straining rates. Proc R Soc London A 1847:389–413
Alshaalan TM, Rutland CJ (1998) Turbulence, scalar transport, and reaction rates in flame-wall interaction. Proc Combust Inst 27:793–799
Arias PG, Im HG, Narayanan P, Trouvé A (2011) A Computational study of nonpremixed flame extinction by water spray. Proc Combust Inst 33:2591–2597
Ashurst WT, Kerstein AR, Kerr RM, Gibson CH (1987) Alignment of vorticity and scalar gradient with strain in simulated Navier-Stokes turbulence. Phys Fluids 30:2343–2353
Aspden AJ, Bell JB, Day MS, Woosley SE, Zingale M (2008) Turbulence-flame interactions in type Ia supernovae. Astrophys J 689(2)
Aspden AJ, Day MS, Bell JB (2011a) Characterization of low Lewis number flames. Proc Combust Inst 33:1463–1471
Aspden AJ, Day MS, Bell JB (2011b) Turbulence–flame interactions in lean premixed hydrogen: transition to the distributed burning regime. J Fluid Mech 680:287–320
Aspden AJ, Day MS, Bell JB (2011c) Lewis number effects in distributed flames. Proc Combust Inst 33:1473–1480
Aspden AJ, Day MS, Bell JB (2015) Turbulence-chemistry interaction in lean premixed hydrogen combustion. Proc Combust Inst 35:1321–1329
Baum M, Poinsot T, Haworth D, Darabiha N (1994) Using direct numerical simulations to study H2/O2/N2 flames with complex chemistry in turbulent flows. J Fluid Mech 281:1–32
Bedat B, Egolfopoulos F, Poinsot T (1999) Direct numerical simulation of heat release and NOx formation in turbulent non premixed flames. Combust Flame 119:69–83
Bell JB, Collela P, Glaz HM (1989) A second-order projection method for the incompressible Navier-Stokes equations. J Comput Phys 85:257–283
Bell JB, Day MS, Grcar JF, Lijewski MJ, Driscoll JF, Filatyev SA (2007) Numerical simulation of a laboratory-scale turbulent slot flame. Proc Combust Inst 27:1299–1307
Bennett JC, Abbasi H, Bremer P-T, Grout R, Gyulassy A, Jin T, Klasky S, Kolla H, Parashar M, Pascucci V, Pebay P, Thompson D, Yu H, Zhang F, Chen JH (2012) Combining in-situ and in-transit processing to enable extreme-scale scientific analysis. In: Proceedings of the international conference on high performance computing, networking, storage and analysis, SC ’12, pp 49:1–49:9, Los Alamitos, CA, USA. IEEE Computer Society Press
Bobbitt B, Blanquart G (2016) Vorticity isotropy in high Karlovitz number premixed flames. Phys Fluids 28:105101
Bradley D (1992) How fast can we burn? Proc Combust Inst 24:247–262
Bradley D (2002) Problems of predicting turbulent burning rates. Combust Theory Model 6(2):361–382
Bradley D, Lawes M, Mansour MS (2011) The problems of the turbulent burning velocity. Flow Turbul Combust 87:191–204
Bruneaux G, Akselvoll K, Poinsot T, Ferziger JH (1996) Flame-wall interaction simulation in a turbulent channel flow. Combust Flame 107:27–44
Buckmaster J (2002) Edge flames. Prog Energy Combust Sci 28:435–475
Carlsson H, Yu R, Bai XS (2014) Direct numerical simulation of lean premixed CH4/air and H2/air flames at high Karlovitz numbers. Int J Hydrogen Energy 39:20216–20232
Carlsson H, Yu R, Bai XS (2015) Flame structure analysis for categorization of lean premixed CH4/air and H2/air flames at high Karlovitz numbers: direct numerical simulation studies. Proc Combust Inst 35:1425–1432
Chatakonda O, Hawkes ER, Aspden AJ, Kerstein AR, Kolla H, Chen JH (2013) On the fractal characteristics of low Damköhler number flames. Combust Flame 160:2422–2433
Chaudhuri S, Wu F, Zhu D, Law CK (2012) Flame speed and self-similar propagation of expanding turbulent premixed flames. Phys Rev Lett 108:044503
Chen JH (2011) Petascale direct numerical simulation of turbulent combustion—fundamental insights towards predictive models. Proc Combust Inst 33:99–123
Chen JH, Echekki T, Kollman W (1998) The mechanism of two-dimensional pocket formation in lean premixed methane air flames with implications for turbulent combustion. Combust Flame 116:15–48
Chen JH, Im HG (1998) Correlation of flame speed with stretch in turbulent premixed methane/air flames. In: 27th international symposium on combustion, vol 27, The Combustion Institute, pp 819–826
Chen JH, Im HG (2000) Stretch effects on the burning velocity of turbulent premixed hydrogen-air flames. Proc Combust Inst 28:211–218
Coppola G, Coriton B, Gomez A (2009) Highly turbulent counterflow flames: a laboratory scale benchmark for practical systems. Combust Flame 156:1834–1843
Cuenot B, Poinsot T (1994) Effects of curvature and unsteadiness in diffusion flames. Implications for turbulent diffusion combustion. In: 25th proceedings of the symposium (international) on combustion, Irvine, pp 1383–1390
Dabireau F, Cuenot B, Vermorel O, Poinsot T (2003) Interaction of flames of H2 + O2 with inert walls. Combust Flame 135:123–133
Desjardins O, Moureau V, Pitsch H (2008) An accurate conservative level set/ghost fluid method for simulating turbulent atomization. J Comput Phys 18:8395–8416
Domingo P, Vervisch L (1996) Triple flames and partially premixed combustion in autoignition of non-premixed mixtures. In: 26th symposium (international) on combustion, The Combustion Institute, Pittsburgh, pp 233–240
Driscoll JF (2008) Turbulent premixed combustion: flamelet structure and its effect on turbulent burning velocities. Prog Energy Combust Sci 34:91–134
Echekki T, Chen JH (1996) Unsteady strain rate and curvature effects in turbulent premixed methane-air flames. Combust Flame 106:184–202
Echekki T, Chen JH (1998) Structure and propagation of methanol-air triple flames. Combust Flame 114:231–245
Egolfopoulos FN, Campbell CS (1996) Unsteady counterflowing strained diffusion flames: diffusion-limited frequency response. J Fluid Mech 318:1–29
Eswaran V, Pope S (1988) An examination of forcing in direct numerical simulations of turbulence. Comput Fluids 16(3):257–278
Favier V, Vervisch L (2001) Edge flames and partially premixed combustion in diffusion flame quenching. Combust Flame 125:788–803
Grout RW, Gruber A, Kolla H, Bremer P-T, Bennett JC, Gyulassy A, Chen JH (2012) A direct numerical simulation study of turbulence and flame structure in transverse jets analysed in jet-trajectory based coordinates. J Fluid Mech 706(10):351–383
Gruber A, Sankaran R, Hawkes ER, Chen JH (2010) Turbulent flame-wall interaction: a direct numerical simulation study. J Fluid Mech 658:5–32
Gruber A, Chen JH, Valiev D, Law CK (2012) Direct numerical simulation of premixed flame boundary layer flashback in turbulent channel flow. J Fluid Mech 709:516–542
Hamlington PE, Poludnenko AY, Oran ES (2011) Interactions between turbulence and flames in premixed reacting flows. Phys Fluids 23:125111
Hamlington PE, Poludnenko AY, Oran ES (2012) Intermittency in premixed turbulent reacting flows. Phys Fluids 24:075111
Hawkes ER, Chatakonda O, Kolla H, Kerstein AR, Chen JH (2012) A petascale direct numerical simulation study of the modelling of flame wrinkling for large-eddy simulations in intense turbulence. Combust Flame 159:2690–2703
Hawkes ER, Sankaran R, Chen JH, Kaiser SA, Frank JH (2009) An analysis of lower-dimensional approximations to the scalar dissipation rate using direct numerical simulations of plane jet flames. Proc Combust Inst 32:1455–1463
Haworth D, Cuenot B, Poinsot T, Blint R (2000) Numerical Simulation of turbulent propane-air combustion with non homogeneous reactants. Combust Flame 121:395–417
Hilbert R, Thevenin D (2002) Autoignition of turbulent non-premixed flames investigated using direct numerical simulations. Combust Flame 128:22–37
Hilbert R, Tap F, El-Rabii H, Thévenin D (2004) Impact of detailed chemistry and transport models on turbulent combustion simulations. Prog Energy Combust Sci 30:61–117
Huan X, Marzouk YM (2013) Simulation-based optimal Bayesian experimental design for nonlinear systems. J Comput Phys 232(1):288–317
Im HG, Arias PG, Chaudhuri S, Uranakara H (2016) Direct numerical simulations of statistically stationary turbulent premixed flames. Combust Sci Technol 188(8):1182–1198
Im HG, Bechtold JK, Law CK (1995) Counterflow diffusion flames with unsteady strain rates. Combust Sci Technol 106:345–361
Im HG, Chen JH, Law CK (1998) Ignition of hydrogen/air mixing layer in turbulent flows. In: 27th international symposium on combustion, The Combustion Institute, vol 27, pp 1047–1056
Im HG, Chen JH (1999) Structure and propagation of triple flames in partially premixed hydrogen/air mixtures. Combust Flame 119:436–454
Im HG, Chen JH (2001) Effects of flow strain on triple flame propagation. Combust Flame 126:1384–1392
Jenkins KW, Cant RS (2002) Curvature effects on flame kernels in a turbulent environment. Proc Combust Inst 29:2023–2029
Jenkins KW, Klein M, Chakraborty N, Cant RS (2006) Effects of strain rate and curvature on the propagation of a spherical flame kernel in the thin-reaction-zones regime. Combust Flame 145:415–434
Jimenez C, Cuenot B, Poinsot T, Haworth D (2002) Numerical simulation and modeling for lean stratified propane-air flames. Combust Flame 128:1–21
Kee RJ, Rupley FM, Miller JA (1989) Chemkin-II: a Fortran chemical kinetics package for the analysis of gas-phase chemical kinetics, Sandia Report SAND-89-8009
Kim J, Moin P, Moser RD (1987) Turbulence statistics in fully-developed channel flow at low Reynolds number. J Fluid Mech 177:133–166
Kim, Y.J., Lee, B.J., Im, H.G. 2017. Scale effect on dynamics of meso-scale bluff-body-stabilized flames in lean premixed hydrogen-air and syngas-air mixtures. In: Fourteenth international conference on flow dynamics, Sendai, Japan, 1–3 Nov, 2017
Lapointe S, Savard B, Blanquart G (2015) Differential diffusion effects, distributed burning, and local extinctions in high Karlovitz premixed flames. Combust Flame 162(9):3341–3355
Le Maître OP, Knio OM (2010) Spectral methods for uncertainty quantification: with applications to computational fluid dynamics. Springer
Lebas R, Menard T, Beau PA, Berlemont A, Demoulin FX (2009) Numerical simulation of primary break-up and atomization: DNS and modelling study. Int J Multiph Flow 35:247–260
Lee ED, Yoo CS, Chen JH, Frank JH (2010) Effect of NO on extinction and re-ignition of vortex-perturbed hydrogen flames. Combust Flame 157:217–229
Lee S, Lele SK, Moin P (1991) Simulations of spatially decaying compressible turbulence. Center for Turbulence Research, NASA Ames/Stanford University, Manuscript 126
Lignell DO, Chen JH, Smith PJ, Lu T, Law CK (2007) The effect of flame structure on soot formation and transport in turbulent nonpremixed flames using direct numerical simulation. Combust Flame 151:2–28
Lignell DO, Chen JH, Smith PJ (2008) Three-dimensional direct numerical simulation of soot formation and transport in a temporally evolving nonpremixed ethylene jet flame. Combust Flame 155:316–333
Lipatnikov AN, Chomiak J (2002) Turbulent flame speed and thickness: phenomenology, evaluation, and application in multi-dimensional simulations. Prog Energy Combust Sci 28:1–74
Lipatnikov AN, Chomiak J (2005) Molecular transport effects on turbulent flame propagation and structure. Prog Energy Combust Sci 31:1–73
Lipatnikov AN, Chomiak J (2010) Effects of premixed flames on turbulence and turbulent scalar transport. Prog Energy Combust Sci 36:1–102
Liu CC, Shy SS, Peng MW, Chiu CW, Dong Y-C (2012) High-pressure burning velocities measurements for centrally-ignited premixed methane/air flames interacting with intense near-isotropic turbulence at constant Reynolds numbers. Combust Flame 159:2608–2619
Lu TF, Yoo CS, Chen JH, Law CK (2010) Three-dimensional direct numerical simulation of a turbulent lifted hydrogen jet flame in a heated coflow: a chemical explosive mode analysis. J Fluid Mech 652:45–64
Mahalingam S, Chen JH, Vervisch L (1995) Finite-rate chemistry and transient effects in simulations of turbulent non-premixed flames. Combust Flame 102:285
Mastorakos E, Baritaud TA, Poinsot TJ (1997) Numerical simulations of autoignition in turbulent mixing flows. Combust Flame 109:198–223
Matalon M (1983) On flame stretch. Combust Sci Technol 31:169–181
Mashayek F (1998) Droplet-turbulence interactions in low Mach number homogeneous shear two-phase flows. J Fluid Mech 367:163–203
Minamoto Y, Fukushima N, Tanahashi M, Miyauchi T, Dunstan TD, Swaminathan N (2011) Effect of flow-geometry on turbulence-scalar interaction in premixed flames. Phys Fluids 23:125107
Minamoto Y, Swaminathan N, Cant RS, Leung T (2014) Reaction zones and their structure in MILD combustion. Combust Sci Technol 186(8):1075–1096
Mizobuchi Y, Tachibana S, Shinjo J, Ogawa S, Takeno T (2002) A numerical analysis of the structure of a turbulent hydrogen jet lifted flame. Proc Combust Inst 29:2009–2015
Mizobuchi Y, Shinjo J, Ogawa S, Takeno T (2005) A numerical study on the formation of diffusion flame islands in a turbulent hydrogen jet lifted flame. Proc Combust Inst 30:611–619
Modest MF (2013) Radiative heat transfer, 3rd edn. Academic Press
Moin P, Mahesh K (1998) Direct numerical simulation: a tool in turbulence research. Annu Rev Fluid Mech 40:539–578
Mueller ME, Blanquart G, Pitsch H (2009) Hybrid method of moments for modeling soot formation and growth. Combust Flame 156:1143–1155
Najm HN, Knio OM, Paul PH, Wyckoff PS (1998) A study of flame observables in premixed methane-air flames. Combust Sci Technol 140:369–403
Nikolaou ZM, Swaminathan N (2015) Direct numerical simulation of complex fuel combustion with detailed chemistry: physical insight and mean reaction rate modeling. Combust Sci Technol 187:1759–1789
O’Brien J, Towery CAZ, Hamlington PE, Ihme M, Poludnenko AY, Urzay J (2017) The cross-scale physical-space transfer of kinetic energy in turbulent premixed flames. Proc Combust Inst 36:1967–1975
Pascucci V, Scorzelli G, Summa B, Bremer PT, Gyulassy A, Christensen C, Philip S, Kumar S (2012) The ViSUS visualization framework, Chapter 19. Chapman & Hall/CRC Computational Science, pp 401–414
Peters N (2000) Turbulent combustion. Cambridge University Press
Poinsot T (1996) Using direct numerical simulations to understand premixed turbulent combustion. Proc Combust Inst 26:219–232
Poinsot T, Candel S, Trouvé A (1995) Applications of direct numerical simulation to premixed turbulent combustion. Prog Energy Combust Sci 21:531–576
Poinsot T, Veynante D (2005) Theoretical and numerical combustion. 2nd edn. RT Edwards, Inc.
Poinsot T, Veynante D, Candel S (1991) Quenching processes and premixed turbulent combustion diagrams. J Fluid Mech 228:561–606
Poinsot T, Haworth DC, Bruneaux G (1993) Direct simulation and modeling of flame-wall interaction for premixed turbulent combustion. Combust Flame 95:118–132
Pope SB (1987) Turbulent premixed flames. Annu Rev Fluid Mech 19:237–270
Rogallo RS (1981) Numerical experiments in homogeneous turbulence. NASA TM-81315
Rogallo RS, Moin P (1984) Numerical simulation of turbulent flows. Annu Rev Fluid Mech 16:99–137
Ronney PD (1995) Modeling in combustion science. Lect Notes Phys 449:1–22
Rutland CJ, Ferziger JH (1991) Simulations of flame-vortex interactions. Combust Flame 84:343–360
Rutland CJ, Cant RS (1994) Turbulent transport in premixed flames. In Proceedings of the summer program center for turbulence research, NASA Ames/Stanford University
Salenbauch S, Sirignano M, Marchisio D, Pollack M, D’Anna A, Hasse C (2017) Detailed particle nucleation modeling in a sooting ethylene flame using a conditional quadrature method of moments (CQMOM). Proc Combust Inst 36:771–779
Sankaran R, Hawkes ER, Chen JH, Lu TF, Law CK (2007) Structure of a spatially developing turbulent lean methane-air Bunsen flame. Proc Combust Inst 27:1291–1298
Sankaran R, Hawkes ER, Yoo CS, Chen JH (2015) Response of flame thickness and propagation speed under intense turbulence in spatially developing lean premixed methane-air jet flames. Combust Flame 162:3294–3306
Sarkar S, Erlebacher G, Hussaini MY (1991) Direct simulation of compressible turbulence in a shear flow. Theor Comput Fluid Dyn 2:291–305
Savard B, Blanquart G (2015) Broken reaction zone and differential diffusion effects in high Karlovitz n-C7H16 premixed turbulent flames. Combust Flame 162:2020–2033
Savard B, Bobbitt B, Blanquart G (2015) Structure of a high Karlovitz n-C7H16 premixed turbulent flame. Proc Combust Inst 35:1377–1384
Shim YS, Fukushima N, Shimura M, Nada Y, Tanahashi M, Miyauchi T (2013) Radical fingering in turbulent premixed flame classified into thin reaction zones. Proc Combust Inst 34:1383–1391
Tanahashi M, Nada Y, Ito Y, Miyauchi T (2002) Local flame structure in the well-stirred reactor regime. Proc Combust Inst 29:2041–2049
Taylor GI (1938) The spectrum of turbulence. Proc R Soc London 164(919):476–490
Tomboulides A (2013) DNS of Flame Propagation Phenomena, ERCOFTAC Spring Festival, Toulon
Trouve A, Poinsot T (1994) The evolution equation for the flame surface density in turbulent premixed combustion. J Fluid Mech 278:1–31
Vervisch L, Hauguel R, Domingo P, Rullaud M (2004) Three facets of turbulent combustion modelling: DNS of premixed V-flame, LES of lifted nonpremixed flame and RANS of jet-flame. J Turbul 5:004
Wabel TM, Skiba AW, Temme JE, Driscoll JF (2017) Measurements to determine the regimes of premixed flames in extreme turbulence. Proc Combust Inst 36:1809–1816
Wacks DH, Chakraborty N, Klein M, Arias PG, Im HG (2016) Flow topologies in different regimes of premixed turbulent combustion: a direct numerical simulation analysis. Phys Rev Fluids 1:083401
Wang H, Hawkes ER, Chen JH (2017) A direct numerical simulaiton study of flame structure and stabilization of an experimental high Ka CH4/air premixed jet flame. Combust Flame 180:110–123
Williams FA (1985) Combustion theory, 2nd edn. Westview Press
Yoo CS, Im HG (2005) Transient dynamics of edge flames in a laminar nonpremixed hydrogen-air counterflow. Proc Combust Inst 30:349–356
Yoo CS, Im HG (2007) Transient soot dynamics in turbulent nonpremixed ethylene-air counterflow flames. Proc Combust Inst 31:701–708
Yoo CS, Richardson ES, Sankaran R, Chen JH (2011) A DNS study on the stabilization mechanism of a turbulent lifted ethylene jet flame in highly heated coflow. Proc Combust Inst 33:1619–1627
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Im, H.G. (2018). Direct Numerical Simulations for Combustion Science: Past, Present, and Future. In: De, S., Agarwal, A., Chaudhuri, S., Sen, S. (eds) Modeling and Simulation of Turbulent Combustion. Energy, Environment, and Sustainability. Springer, Singapore. https://doi.org/10.1007/978-981-10-7410-3_4
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