Asymptotic analysis of detonation development at SI engine conditions using computational singular perturbation

References

• M.D. Lorenzo, P. Brequigny, F. Foucher, and C. Mounaim-Rousselle, Turbulent flame speed of a gasoline surrogate in conditions representative of modern downsized spark-ignition engine, Combust. Flame. 240 (2022), p. 112041.
   Web of Science ®Google Scholar
• S. Baek, H. Lee, and K. Lee, Fuel efficiency and exhaust characteristics of turbocharged diesel engine equipped with an electric supercharger, Energy 214 (2021), p. 119049.
   Web of Science ®Google Scholar
• X. Zhao, Z. Zhu, Z. Zheng, Z. Yue, H. Wang, and M. Yao, Effects of flame propagation speed on knocking and knock-limited combustion in a downsized spark ignition engine, Fuel 293 (2021), p. 120407.
   Web of Science ®Google Scholar
• Y. Wang, H. Wei, L. Zhou, X. Zhang, and L. Zhong, Effects of reactivity inhomogeneities on knock combustion in a downsized spark-ignition engine, Fuel 278 (2020), p. 118317.
   Web of Science ®Google Scholar
• J.E. Dec, Y. Yang, and N. Dronniou, Improving efficiency and using E10 for higher loads in boosted engines, Sae Int. J. Engines 5 (2012), pp. 1009–1032.
   Google Scholar
• J.R. Serrano, P. Piqueras, J. De La Morena, A. Gómez-Vilanova, and S. Guilain, Methodological analysis of variable geometry turbine technology impact on the performance of highly downsized spark-ignition engines, Energy 215 (2021), p. 119122.
   Web of Science ®Google Scholar
• M.B. Luong, F.E. Hernández Pérez, and H.G. Im, Prediction of ignition modes of NTC-fuel/air mixtures with temperature and concentration fluctuations, Combust. Flame.213 (2020), pp. 382–393.
   Web of Science ®Google Scholar
• Z. Wang, Y. Qi, X. He, J. Wang, S. Shuai, and C.K. Law, Analysis of pre-ignition to super-knock: Hotspot-induced deflagration to detonation, Fuel 144 (2015), pp. 222–227.
   Web of Science ®Google Scholar
• K. Morganti, M. Abdullah, A. Alzubail, Y. Viollet, R. Head, J. Chang, and G. Kalghatgi, Improving the efficiency of conventional spark-ignition engines using octane-on-demand combustion-part I: Engine studies, SAE Technical Paper 2016–01–0679, 2016.
   Google Scholar
• G. Kalghatgi, K. Morganti, I. Algunaibet, M. Sarathy, and R. Dibble, Knock prediction using a simple model for ignition delay, Shock 1 (2016), p. 3.
   Google Scholar
• L. Chen, T. Li, T. Yin, and B. Zheng, A predictive model for knock onset in spark-ignition engines with cooled EGR, Energy Conversion Manage. 87 (2014), pp. 946–955.
   Web of Science ®Google Scholar
• Y. Ze'ldovich, Regime classification of an exothermic reaction with nonuniform initial conditions, Combust. Flame 39 (1980), pp. 211–214.
   Web of Science ®Google Scholar
• J.H.S. Lee, The detonation phenomenon, Cambridge University Press, Cambridge, 2008.
   Google Scholar
• Z. Wang, H. Liu, and R.D. Reitz, Knocking combustion in spark-ignition engines, Prog. Energy. Combust. Sci. 61 (2017), pp. 78–112.
   Web of Science ®Google Scholar
• Z. Gong, L. Feng, and Z. Wang, Experimental and numerical study of the effect of injection strategy and intake valve lift on super-knock and engine performance in a boosted gdi engine, Fuel 249 (2019), pp. 309–325.
   Web of Science ®Google Scholar
• P. Dai and Z. Chen, Effects of nox addition on autoignition and detonation development in dme/air under engine-relevant conditions, Proc. Combust. Inst. 37 (2019), pp. 4813–4820.
   Web of Science ®Google Scholar
• H. Liu, Z. Wang, Y. Qi, X. He, Y. Wang, and J. Wang, Super-knock suppression for highly turbocharged spark ignition engines using the fuel of propane or methanol, Energy 169 (2019), pp. 1112–1118.
   Web of Science ®Google Scholar
• M.J. Mubarak Ali, F. Hernandez Perez, S. Vedharaj, R. Vallinayagam, R. Dibble, and H. Im, Effect of timing and location of hotspot on super knock during pre-ignition, SAE Technical Paper 2017–01–0686, 2017.
   Google Scholar
• P. Dai, Z. Chen, X. Gan, and M.A. Liberman, Autoignition and detonation development from a hot spot inside a closed chamber: Effects of end wall reflection, Proc. Combust. Inst. 38 (2021), pp. 5905–5913.
   Web of Science ®Google Scholar
• D. Bradley, C. Morley, X.J. Gu, and D.R. Emerson, Amplified pressure waves during autoignition: Relevance to cai engines, SAE Trans. 111 (2002), pp. 2679–2690.
   Google Scholar
• D. Bradley and G. Kalghatgi, Influence of autoignition delay time characteristics of different fuels on pressure waves and knock in reciprocating engines, Combust. Flame. 156 (2009), pp. 2307–2318.
   Web of Science ®Google Scholar
• Gautam T Kalghatgi and Derek Bradley, Pre-ignition and ‘super-knock’ in turbo-charged spark-ignition engines, Int. J. Engine Res. 13 (2012), pp. 399–414.
   Web of Science ®Google Scholar
• C. Qi, P. Dai, H. Yu, and Z. Chen, Different modes of reaction front propagation in n-heptane/air mixture with concentration non-uniformity, Proc. Combust. Inst. 36 (2017), pp. 3633–3641.
   Web of Science ®Google Scholar
• J. Su, P. Dai, and Z. Chen, Detonation development from a hot spot in methane/air mixtures: Effects of kinetic models, Int. J. Engine Res. 22(8) (2020), p. 146808742094461.
   Web of Science ®Google Scholar
• Y. Gao, P. Dai, and Z. Chen, Numerical studies on autoignition and detonation development from a hot spot in hydrogen/air mixtures, Combust. Theory Modell. 24 (2020), pp. 245–261.
   Web of Science ®Google Scholar
• A. Sow, B.J. Lee, F.E. Hernández Pérez, and H.G. Im, Detonation onset in a thermally stratified constant volume reactor, Proc. Combust. Inst. 37 (2019), pp. 3529–3536.
   Web of Science ®Google Scholar
• M.B. Luong and H.G. Im, Prediction of the developing detonation in an ntc-fuel/air mixture with temperature inhomogeneities under engine conditions, Proc. Combust. Inst. 39 (2023), pp. 4979–4988.
   Web of Science ®Google Scholar
• N. Peters, B. Kerschgens, and G. Paczko, Super-knock prediction using a refined theory of turbulence, Sae Int. J. Engines 6 (2013), pp. 953–967.
   Google Scholar
• J. Rudloff, J.M. Zaccardi, S. Richard, and J.M. Anderlohr, Analysis of pre-ignition in highly charged SI engines: Emphasis on the auto-ignition mode, Proc. Combust. Inst. 34 (2013), pp. 2959–2967.
   Web of Science ®Google Scholar
• M.B. Luong and H.G. Im, Prediction of ignition modes in shock tubes relevant to engine conditions, in Engines and Fuels for Future Transport, Springer, Singapore, 2022, pp. 369–393. https://doi.org/10.1007/978-981-16-8717-4_15
   Google Scholar
• M. Figueroa-Labastida, M.B. Luong, J. Badra, H.G. Im, and A. Farooq, Experimental and computational studies of methanol and ethanolpreignition behind reflected shock waves, Combust. Flame 234 (2021), p. 111621.
   Web of Science ®Google Scholar
• F. Takens, Partially hyperbolic fixed points, Topology 10 (1971), pp. 133–147.
   Google Scholar
• S.H. Lam and D.A. Goussis, Understanding complex chemical kinetics with computational singular perturbation, in Symposium (International) on Combustion, Vol. 22, Elsevier, 1989, pp. 931–941. https://doi.org/10.1016/S0082-0784(89)80102-X
   Google Scholar
• S.H. Lam and D. Coussis, Conventional asymptotics and computational singular perturbation for simplified kinetics modelling, in Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane-Air Flames, Springer, Berlin, 2005, pp. 227–242. https://doi.org/10.1007/BFb0035372
   Google Scholar
• M. Hadjinicolaou and D.A. Goussis, Asymptotic solution of stiff pdes with the csp method: The reaction diffusion equation, SIAM. J. Sci. Comput. 20 (1998), pp. 781–810.
   Web of Science ®Google Scholar
• J. Prager, H.N. Najm, M. Valorani, and D. Goussis, Structure of n-heptane/air triple flames in partially-premixed mixing layers, Combust. Flame. 158 (2011), pp. 2128–2144.
   Web of Science ®Google Scholar
• D.G. Patsatzis and D.A. Goussis, A new michaelis-menten equation valid everywhere multi-scale dynamics prevails, Math. Biosci. 315 (2019), p. 108220.
   PubMed Web of Science ®Google Scholar
• D.G. Patsatzis, D.T. Maris, and D.A. Goussis, Asymptotic analysis of a target-mediated drug disposition model: Algorithmic and traditional approaches, Bull. Math. Biol. 78 (2016), pp. 1121–1161.
   PubMed Web of Science ®Google Scholar
• K.J. Richards, P.K. Senecal, and E. Pomraning, Converge 3.0.13, Convergent Science, Madison, WI, 2023.
   Google Scholar
• F.E.H. PÉRez, N. Mukhadiyev, X. Xu, A. Sow, B.J. Lee, R. Sankaran, and H.G. Im, Direct numerical simulations of reacting flows with detailed chemistry using many-core/gpu acceleration, Comput. Fluids. 173 (2018), pp. 73–79.
   Web of Science ®Google Scholar
• S. Desai, Y.J. Kim, W. Song, M.B. Luong, F.E.H. PÉRez, R. Sankaran, and H.G. Im, Direct numerical simulations of turbulent reacting flows with shock waves and stiff chemistry using many-core/GPU acceleration, Comput. Fluids. 215 (2021), p. 104787.
   Web of Science ®Google Scholar
• M. Jaasim, E.A. Tingas, F.E.H. PÉRez, and H.G. Im, Computational singular perturbation analysis of super-knock in SI engines, Fuel 225 (2018), pp. 184–191.
   Web of Science ®Google Scholar
• C. Netzer, L. Seidel, M. Pasternak, H. Lehtiniemi, C. Perlman, F. Ravet, and F. Mauss, Three-dimensional computational fluid dynamics engine knock prediction and evaluation based on detailed chemistry and detonation theory, Int. J. Engine Res. 19 (2018), pp. 33–44.
   Web of Science ®Google Scholar
• P. Pal, S. Demir, P. Kundu, and S. Som, Large-eddy simulations of methane-oxygen combustion in a rotating detonation rocket engine, in AIAA Propulsion and Energy 2021 Forum, 2021, p. 3642. https://doi.org/10.2514/6.2021-3642
   Google Scholar
• N.O. Attal and G. Kumar, Deflagration to detonation transition in two-dimensional obstructed channels, in AIAA Scitech 2022 Forum, AIAA SCITECH 2022 Forum, San Diego, CA, 2022, p. 0392. https://doi.org/10.2514/6.2022-0392
   Google Scholar
• P.K. Senecal, E. Pomraning, K.J. Richards, T.E. Briggs, C.Y. Choi, R.M. Mcdavid, and M.A. Patterson, Multi-dimensional modeling of direct-injection diesel spray liquid length and flame lift-off length using CFD and parallel detailed chemistry, SAE Technical Paper 2003–01–1043, 2003.
   Google Scholar
• M.B. Luong, S. Desai, F.E.H. PÉRez, R. Sankaran, B. Johansson, and H.G. Im, A statistical analysis of developing knock intensity in a mixture with temperature inhomogeneities, Proc. Combust. Inst. 38 (2021), pp. 5781–5789.
   Web of Science ®Google Scholar
• M.B. Luong, S. Desai, F.E. HernÁndez PÉrez, R. Sankaran, B. Johansson, and H.G. Im, Effects of turbulence and temperature fluctuations on knock development in an ethanol/air mixture, Flow Turbul. Combust 106 (2021), pp. 575–595.
   Web of Science ®Google Scholar
• A. Bhagatwala, J.H. Chen, and T. Lu, Direct numerical simulations of Hcci/Saci with ethanol, Combust. Flame. 161 (2014), pp. 1826–1841.
   Web of Science ®Google Scholar
• M.B. Luong and H.G. Im, Effects of low-temperature chemistry on direct detonation initiation by a hot spot under engine conditions, Proc. Combust. Inst. 39 (2023), pp. 4989–4999.
   Web of Science ®Google Scholar
• M. Frenklach, Modeling, in Combustion Chemistry, W.C. Gardiner, ed., Springer, New York, NY, 1984, pp. 423–453.
   Google Scholar
• S. Vajda, P. Valko, and T. Turanyi, Principal component analysis of kinetic models, Int. J. Chem. Kinet. 17 (1985), pp. 55–81.
   Web of Science ®Google Scholar
• J.C. Sutherland and A. Parente, Combustion modeling using principal component analysis, Proc. Combust. Inst. 32 (2009), pp. 1563–1570.
   Web of Science ®Google Scholar
• M. Valorani, S. Paolucci, E. Martelli, T. Grenga, and P.P. Ciottoli, Dynamical system analysis of ignition phenomena using the tangential stretching rate concept, Combust. Flame. 162 (2015), pp. 2963–2990.
   Web of Science ®Google Scholar
• M. Valorani, P.P. Ciottoli, and R.M. Galassi, Tangential stretching rate (TSR) analysis of non premixed reactive flows, Proc. Combust. Inst. 36 (2017), pp. 1357–1367.
   Web of Science ®Google Scholar
• D.A. Goussis, H.G. Im, H.N. Najm, S. Paolucci, and M. Valorani, The origin of cema and its relation to csp, Combust. Flame. 227 (2021), pp. 396–401.
   Web of Science ®Google Scholar
• M. Valorani, F. Creta, P.P. Ciottoli, R. Malpica Galassi, D. Goussis, H. Najm, S. Paolucci, H.G. Im, E.A. Tingas, D. Manias, A. Parente, Z. Li, and T. Grenga, Computational singular perturbation method and tangential stretching rate analysis of large scale simulations of reactive flows: Feature tracking, time scale characterization, and cause/effect identification. Part 1, Basic concepts, in Data Analysis for Direct Numerical Simulations of Turbulent Combustion, Springer, Cham, 2020, pp. 43–64. https://doi.org/10.1007/978-3-030-44718-2_3
   Google Scholar
• M. Valorani, F. Creta, P.P. Ciottoli, R. Malpica Galassi, D. Goussis, H. Najm, S. Paolucci, H.G. Im, E.A. Tingas, D. Manias, A. Parente, Z. Li, and T. Grenga, Computational singular perturbation method and tangential stretching rate analysis of large scale simulations of reactive flows: Feature tracking, time scale characterization, and cause/effect identification. Part 2, Analyses of ignition systems, laminar and turbulent flames, in Data Analysis for Direct Numerical Simulations of Turbulent Combustion, Springer, Cham, 2020, pp. 65–88. https://doi.org/10.1007/978-3-030-44718-2_4
   Google Scholar
• E.A. Tingas, D.C. Kyritsis, and D.A. Goussis, Autoignition dynamics of dme/air and etoh/air homogeneous mixtures, Combust. Flame. 162 (2015), pp. 3263–3276.
   Web of Science ®Google Scholar
• E.A. Tingas, The chemical dynamics of hydrogen/hydrogen peroxide blends diluted with steam at compression ignition relevant conditions, Fuel 296 (2021), p. 120594.
   Web of Science ®Google Scholar
• K.K. Yalamanchi, E.A. Tingas, H.G. Im, and S.M. Sarathy, Screening gas-phase chemical kinetic models: Collision limit compliance and ultrafast timescales, Int. J. Chem. Kinet. 52 (2020), pp. 599–610.
   Web of Science ®Google Scholar
• E.A. Tingas, D.C. Kyritsis, and D.A. Goussis, H 2/air autoignition dynamics around the third explosion limit, J. Energy Eng. 145 (2019), p. 04018074.
   Web of Science ®Google Scholar
• D.A. Goussis and M. Valorani, The appropriate context for the analysis of the explosive mode in reactive systems, J. Energy Eng. 149 (2023), p. 04023039.
   Web of Science ®Google Scholar
• H.N. Najm, M. Valorani, D.A. Goussis, and J. Prager, Analysis of methane–air edge flame structure, Combust. Theory Modell. 14 (2010), pp. 257–294.
   Web of Science ®Google Scholar
• E.A. Tingas, Computational analysis of the effect of hydrogen peroxide addition on premixed laminar hydrogen/air flames, Fuel 302 (2021), p. 121081.
   Web of Science ®Google Scholar
• W. Song, E.A. Tingas, and H.G. Im, A computational analysis of methanol autoignition enhancement by dimethyl ether addition in a counterflow mixing layer, Combust. Flame.195 (2018), pp. 84–98.
   Web of Science ®Google Scholar
• D.M. Manias, E.A. Tingas, Y. Minamoto, and H.G. Im, Topological and chemical characteristics of turbulent flames at mild conditions, Combust. Flame. 208 (2019), pp. 86–98.
   Web of Science ®Google Scholar
• D.M. Manias, E.A. Tingas, F.E.H. PÉRez, R.M. Galassi, P.P. Ciottoli, M. Valorani, and H.G. Im, Investigation of the turbulent flame structure and topology at different Karlovitz numbers using the tangential stretching rate index, Combust. Flame. 200 (2019), pp. 155–167.
   Web of Science ®Google Scholar
• M. Valorani, F. Creta, and D.A. Goussis, Local and global manifolds in stiff reaction-diffusion systems, in Computational Fluid and Solid Mechanics 2003, Elsevier, 2003, pp. 1548–1551. https://doi.org/10.1016/B978-008044046-0.50378-X
   Google Scholar
• D.A. Goussis, M. Valorani, F. Creta, and H.N. Najm, Reactive and reactive-diffusive time scales in stiff reaction-diffusion systems, Progress Comput. Fluid Dyn., Int. J. 5 (2005), pp. 316–326.
   Web of Science ®Google Scholar
• M. Valorani, H.N. Najm, and D.A. Goussis, Csp analysis of a transient flame-vortex interaction: Time scales and manifolds, Combust. Flame. 134 (2003), pp. 35–53.
   Web of Science ®Google Scholar
• R.M. Galassi, Pycsp: A python package for the analysis and simplification of chemically reacting systems based on computational singular perturbation, Comput. Phys. Commun. 276 (2022), p. 108364.
   Web of Science ®Google Scholar
• C. Safta, H.N. Najm, and O. Knio, Tchem-a software toolkit for the analysis of complex kinetic models, Tech. Rep., Sandia National Lab.(SNL-CA), Livermore, CA (USA), 2011.
   Google Scholar
• Z. Wang, H. Liu, T. Song, Y. Qi, X. He, S. Shuai, and J. Wang, Relationship between super-knock and pre-ignition, Int. J. Engine Res. 16 (2015), pp. 166–180.
   Web of Science ®Google Scholar
• S. Farjam and B. Savard, Ignition and flame stabilization of n-dodecane turbulent premixed flames under spray a thermochemical conditions, Combust. Flame. 242 (2022), p. 112133.
   Web of Science ®Google Scholar
• Z. Huang, M.J. Cleary, Z. Ren, and H. Zhang, Large eddy simulation of a supersonic lifted hydrogen flame with sparse-Lagrangian multiple mapping conditioning approach, Combust. Flame. 238 (2022), p. 111756.
   Web of Science ®Google Scholar
• J.H. Kim, G.H. Yu, S.H. Chung, and C.S. Yoo, A DNS study of ignition characteristics of a lean PRF/air mixture with CH 2O and H 2O 2 addition under HCCI combustion-relevant conditions, Combust. Flame. 234 (2021), p. 111654.
   Web of Science ®Google Scholar
• Z. Zhang, A. Abdelsamie, C. Chi, D. Thevenin, and K.H. Luo, Combustion mode and mixing characteristics of a reacting jet in crossflow, Energy. Fuels. 35 (2021), pp. 13325–13337.
   Web of Science ®Google Scholar
• H. Wang, Z. Wang, K. Luo, E.R. Hawkes, J.H. Chen, and J. Fan, Direct numerical simulation of turbulent boundary layer premixed combustion under auto-ignitive conditions, Combust. Flame. 228 (2021), pp. 292–301.
   Web of Science ®Google Scholar
• M. Zhao, Z. Ren, and H. Zhang, Pulsating detonative combustion in n-heptane/air mixtures under off-stoichiometric conditions, Combust. Flame. 226 (2021), pp. 285–301.
   Web of Science ®Google Scholar
• A. Krisman, P. Meagher, X. Zhao, J.W. Park, T. Lu, and J.H. Chen, A direct numerical simulation of jet a flame kernel quenching, Combust. Flame. 225 (2021), pp. 349–363.
   Web of Science ®Google Scholar
• A. Sow, S.M. Lau-Chapdelaine, and M. Radulescu, The effect of the polytropic index γ on the structure of gaseous detonations, Proc. Combust. Inst. 38 (2021), pp. 3633–3640.
   Web of Science ®Google Scholar
• J. Shi, Y. Xu, W. Ren, and H. Zhang, Critical condition and transient evolution of methane detonation extinction by fine water droplet curtains, Fuel 315 (2022), p. 123133.
   Web of Science ®Google Scholar