Abstract
This chapter describes various methods for storing chemical kinetic mechanistic information within combustion models. The most obvious way is the definition of the kinetic system of differential equations by a detailed reaction mechanism. Parameterisation of such reaction mechanisms is commented upon here. Another possible approach is to store the solution of the system of ordinary or partial differential equations that defines the model within look-up tables. Such data can then be “retrieved” during combustion simulations within complex reacting flow models instead of solving the kinetic system of differential equations, often at much lower computational cost. Several such methods for storage and retrieval are reviewed here. As an alternative approach, functional representations of the time dependant kinetic changes or the look-up table contents can be achieved, using for example polynomial functions or artificial neural networks and these are also discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Androulakis IP (2004) Store and retrieve representations of dynamic systems motivated by studies in gas phase chemical kinetics. Comput Chem Eng 28:2141–2155
Atanga GF (2012) Direct numerical simulation of turbulent flames on parallel computers, Ph.D. Thesis, Otto-von-Guericke-Universitat
Bekdemir C, Somers LMT, de Goey LPH (2011) Modeling Diesel engine combustion using pressure dependent flamelet generated manifolds. Proc Combust Inst 33:2887–2894
Bell JB, Brown NJ, Day MS et al (2000) Scaling and efficiency of PRISM in adaptive simulations of turbulent premixed flames. Proc Combust Inst 28:107–113
Bilger RW (1990) On reduced mechanisms for methane-air combustion in non-premixed flames. Combust Flame 80:135–149
Blasco JA, Fueyo N, Dopazo C et al (2000) A self-organizing-map approach to chemistry representation in combustion applications. Combust Theory Modell 4:61–76
Blasco JA, Fueyo N, Dopazo C et al (1998) Modelling the temporal evolution of a reduced combustion chemical system with an Artificial Neural Network. Combust Flame 113(1–2):38–52
Blasco JA, Fueyo N, Dopazo C et al (1999a) Modelling the temporal evolution of a reduced combustion chemical system with an artificial neural network. Combust Flame 113:38–52
Blasco JA, Fueyo N, Larroya JC et al (1999b) A single-step time-integrator of a methane-air chemical system using artificial neural networks. Comput Chem Eng 23:1127–1133
Bongers H, van Oijen JA, de Goey LPH (2005) The flamelet generated manifold method applied to steady planar partially premixed counterflow flames. Comb Sci Tech 177(12):2373–2393
Box GEP, Hunter WG, Hunter JS (1978) Statistics for experiments. An introduction to design, data analysis, and model building. Wiley, New York
Brad RB, Tomlin AS, Fairweather M et al (2007) The application of chemical reduction methods to a combustion system exhibiting complex dynamics. Proc Combust Inst 31:455–463
Brown NJ, Tonse SR (2004) PRISM piecewise reusable implementation of solution mapping to improve computational economy. Abs Pap Am Chem Soc 228:U308–U308
Büki A, Perger T, Turányi T et al (2002) Repro-modelling based generation of intrinsic low-dimensional manifolds. J Math Chem 31:345–362
Burke MP, Klippenstein SJ, Harding LB (2013) A quantitative explanation for the apparent anomalous temperature dependence of \(OH+HO_{2}\rightarrow H_{2}O+O_{2}\) through multi-scale modeling. Proc Combust Inst 34:547–555
Cannon SM, Brewster BS, Smoot LD (1999) PDF modeling of lean premixed combustion using in situ tabulated chemistry. Combust Flame 119(3):233–252
Carstensen HH, Dean AM (2007) The kinetics of pressure-dependent reactions. Modeling of chemical reactions. Comprehensive Chemical Kinetics 42:105–187
Chatzopoulos AK, Rigopoulos S (2013) A chemistry tabulation approach via rate-controlled constrained equilibrium (RCCE) and artificial neural networks (ANNs), with application to turbulent non-premixed CH4/H-2/N-2 flames. Proc Combust Inst 34:1465–1473
Chen JY, Blasco JA, Fueyo N et al (2000) An economical strategy for storage of chemical kinetics: Fitting in situ adaptive tabulation with artificial neural networks. Proc Comb Inst 28:115–121
Chen JY, Chang WC, Koszykowski M (1995) Numerical simulation and scaling of NOx emissions from turbulent hydrogen jet flames with various amounts of helium dilution. Combust Sci Technol 111:505–529
Choi Y, Chen JY (2005) Fast prediction of start-of-cornbustion in HCCI with combined artificial neural networks and ignition delay model. Proc Combust Inst 30:2711–2718
Christo FC, Masri AR, Nebot EM (1996a) Artificial Neural Network implementation of chemistry with pdf Simulation of H2/CO2 flames. Combust Flame 106:406–427
Christo FC, Masri AR, Nebot EM et al (1996b) An integrated PDF/neural network approach for simulating turbulent reacting systems. Proc Combust Inst 26:43–48
Christo FC, Masri AR, Nebot EM, et al. (1995) Utilising artifical neural network and repro-modelling in turbulent combustion. In: Proceedings IEEE International Conference on Neural Networks, vol 1. pp 911–916
Clifford LJ, Milne AM, Turányi T et al (1998) An induction parameter model for shock-induced hydrogen combustion simulations. Combust Flame 113(1–2):106–118
Colin O, Pires da Cruz A, Jay S (2005) Detailed chemistry-based auto-ignition model including low temperature phenomena applied to 3D engine calculations. Proc Combust Inst 30:2649–2656
Contino F, Jeanmart H, Lucchini T et al (2011) Coupling of in situ adaptive tabulation and dynamic adaptive chemistry: An effective method for solving combustion in engine simulations. Proc Combust Inst 33:3057–3064
Davis SG, Mhadeshwar AB, Vlachos DG et al (2004) A new approach to response surface development for detailed gas-phase and surface reaction kinetic model optimization. Int J Chem Kinet 36:94–106
de Goey LPH, van Oijen JA, Bongers H et al (2003) New flamelet based reduction methods: the bridge between chemical reduction techniques and flamelet methods. In: Proceedings of ECM
Dunker AM (1986) The reduction and parameterization of chemical mechanisms for inclusion in atmospheric reaction-transport models. Atmos Environ 20(3):479–486
Dyer RS, Korakianitis T (2007) Pre-integrated response map for inviscid propane-air detonation. Combust Sci Technol 179:1327–1347
Enjalbert N, Domingo P, Vervisch L (2012) Mixing time-history effects in large eddy simulation of non-premixed turbulent flames: Flow-controlled chemistry tabulation. Combust Flame 159:336–352
Feeley R, Frenklach M, Onsum M et al (2006) Model discrimination using data collaboration. J Phys Chem A 110:6803–6813
Feeley R, Seiler P, Packard A et al (2004) Consistency of a reaction dataset. J Phys Chem A 108:9573–9583
Fiorina B, Gicquel O, Vervisch L et al (2005) Approximating the chemical structure of partially premixed and diffusion counterflow flames using FPI flamelet tabulation. Combust Flame 140:147–160
Flemming F, Sadiki A, Janicka J (2000) LES using Artificial Neural Networks for chemistry representation. Prog Comput Fluid Dynam 5:375–385
Frenklach M, Packard A, Seiler P et al (2004) Collaborative data processing in developing predictive models of complex reaction systems. Int J Chem Kinet 36:57–66
Frenklach M, Wang H, Rabinowitz MJ (1992) Optimization and analysis of large chemical kinetic mechanisms using the solution mapping method—combustion of methane. Prog Energy Combust Sci 18:47–73
Gicquel O, Darabiha N, Thevenin D (2000) Laminar premixed hydrogen/air counterflow flame simulations using Flame Prolongation of ILDM with differential diffusion. Proc Comb Inst 28:1901–1908
Gicquel O, Ribert O, Darabiha N et al (2006) Tabulation of complex chemistry based on self-similar behavior of laminar premixed flames. Combust Flame 146:649–664
Gilbert RG, Luther K, Troe J (1983) Theory of thermal unimolecular reactions in the fall-off range. II. Weak collision rate constants. Berichte der Bunsengesellschaft für physikalische. Chemie 87(2):169–177
Godel G, Domingo P, Vervisch L (2009) Tabulation of NOx chemistry for large-eddy simulation of non-premixed turbulent flames. Proc Combust Inst 32:1555–1561
Ihme M, Marsden AL, Pitsch H (2008) Generation of optimal Artificial Neural Networks using a pattern search algorithm: Application to approximation of chemical systems. Neural Comput 20:573–601
Ihme M, Schmitt C, Pitsch H (2009) Optimal Artificial Neural Networks and tabulation methods for chemistry representation in LES of a bluff-body swirl-stabilized flame. Proc Combust Inst 32:1527
Imbert B, Lafosse F, Catoire L et al (2008) Formulation reproducing the ignition delays simulated by a detailed mechanism: Application to n-heptane combustion. Combust Flame 155:380–408
James S, Anand MS, Razdan MK et al (2001) In situ detailed chemistry calculations in combustor flow analyses. J Eng Gas Turb Power 123(4):747–756
Jay S, Colin O (2011) A variable volume approach of tabulated detailed chemistry and its applications to multidimensional engine simulations. Proc Combust Inst 33:3065–3072
Kee RJ, Rupley FM, Miller JA (1989) CHEMKIN-II: A FORTRAN chemical kinetics package for the analysis of gas-phase chemical kinetics. Sandia National Laboratories, USA
Kumar A, Mazumder S (2011) Adaptation and application of the in situ adaptive tabulation (ISAT) procedure to reacting flow calculations with complex surface chemistry. Comput Chem Eng 35(7):1317–1327
Lee JC, Najm HN, Lefantzi S, et al. (2005) On chain branching and its role in homogeneous ignition and premixed flame propagation. In: Bathe K (ed) Computational fluid and solid mechanics Elsevier Science, New York, pp 717–720
Lee JC, Najm HN, Lefantzi S et al (2007) A CSP and tabulation-based adaptive chemistry model. Combust Theor Model 11(1):73–102
Li G, Wang S-W, Rabitz H (2002) Practical approaches to construct RS-HDMR component functions. J Phys Chem A 106:8721–8733
Li GY, Rabitz H, Hu JS et al (2008) Regularized random-sampling high dimensional model representation (RS-HDMR). J Math Chem 43(3):1207–1232
Libby PA, Bray KNC (1980) Implications of the laminar flamelet model in premixed turbulent combustion. Combust Flame 39(1):33–41
Liew SK, Bray KNC, Moss JB (1981) A flamelet model of turbulent non-premixed combustion. Combust Sci Technol 27(1–2):69–73
Lodier G, Vervisch L, Moureau V et al (2011) Composition-space premixed flamelet solution with differential diffusion for in situ flamelet-generated manifolds. Combust Flame 158:2009–2016
Marsden AR, Frenklach M, Reible DD (1987) Increasing the computational feasibility of urban air-quality models that employ complex chemical mechanisms. JAPCA 37(4):370–376
Masri AR, Cao R, Pope SB et al (2004) PDF calculations of turbulent lifted flames of H2/N2 fuel issuing into a vitiated co-flow. Combust Theor Model 8(1):1–22
Michel J-B, Colin O, Angelberger C (2010) On the formulation of species reaction rates in the context of multi-species CFD codes using complex chemistry tabulation techniques. Combust Flame 157:701–714
Michel J-B, Colin O, Angelberger C et al (2009) Using the tabulated diffusion flamelet model ADF-PCM to simulate a lifted methane-air jet flame. Combust Flame 156:1318–1331
Michel J-B, Colin O, Veynante D (2008) Modeling ignition and chemical structure of partially premixed turbulent flames using tabulated chemistry. Combust Flame 152:80–99
Mosbach S, Aldawood AM, Kraft M (2008) Real-time evaluation of a detailed chemistry HCCI engine model using a tabulation technique. Combust Sci Technol 180(7):1263–1277
Nagy T, Turányi T (2011) Uncertainty of Arrhenius parameters. Int J Chem Kinet 43:359–378
Najafi-Yazdi A, Cuenot B, Mongeau L (2012) Systematic definition of progress variables and intrinsically low-dimensional, flamelet generated manifolds for chemistry tabulation. Combust Flame 159:1197–1204
NIST (2013) Chemical kinetics database. http://kinetics.nist.gov/kinetics/index.jsp
Pera C, Colin O, Jay S (2009) Development of a FPI detailed chemistry tabulation methodology for internal combustion engines. Oil Gas Sci Technol Rev IFP 64:243–258
Pilling MJ, Seakins PW (1995) Reaction kinetics. Oxford University Press, Oxford
Pope SB (1997) Computationally efficient implementation of combustion chemistry using in situ adaptive tabulation. Combust Theor Model 1(1):41–63
Saxena V, Pope SB (1999) PDF simulations of turbulent combustion incorporating detailed chemistry. Combust Flame 117(1–2):340–350
Sheen DA, Rosado-Reyes CM, Tsang W (2013) Kinetics of H atom attack on unsaturated hydrocarbons using spectral uncertainty propagation and minimization techniques. Proc Combust Inst 34:527–536
Sheen DA, Wang H (2011) The method of uncertainty quantification and minimization using polynomial chaos expansions. Combust Flame 158(12):2358–2374
Sheen DA, You X, Wang H et al (2009) Spectral uncertainty quantification, propagation and optimization of a detailed kinetic model for ethylene combustion. Proc Combust Inst 32:535–542
Shenvi N, Geremia JM, Rabitz H (2004) Efficient chemical kinetic modeling through neural network maps. J Chem Phys 120:9942–9951
Shorter JA, Ip PC, Rabitz HA (1999) An efficient chemical kinetics solver using high dimensional model representation. J Phys Chem A 103(36):7192–7198
Stewart PH, Larson CW, Golden DM (1989) Pressure and temperature dependence of reactions proceeding via a bound complex. 2. Application to 2CH3 → C2H5 + H. Combust Flame 75:25–31
Taing S, Masri AR, Pope SB (1993) Pdf calculations of turbulent nonpremixed flames of H2/CO2 using reduced chemical mechanisms. Combust Flame 95(1–2):133–150
Tang Q, Xu J, Pope SB (2000) Probability density function calculations of local extinction and no production in piloted-jet turbulent methane/air flames. Proc Combust Inst 28:133–139
Tomlin AS, Whitehouse L, Lowe R et al (2001) Low-dimensional manifolds in tropospheric chemical systems. Faraday Discuss 120:125–146
Tonse SR, Moriarty NW, Brown NJ et al (1999) PRISM: Piece-wise reusable implementation of solution mapping. An economical strategy for chemical kinetics. Israel J Chem 39:97–106
Tonse SR, Moriarty NW, Frenklach M et al (2003) Computational economy improvements in PRISM. Int J Chem Kinet 35:438–452
Turányi T (1994) Parametrization of reaction mechanisms using orthonormal polynomials. Comput Chem 18(1):45–54
Turányi T (1995) Application of repro-modelling for the reduction of combustion mechanisms. Proc Combust Inst 25:948–955
van Oijen JA, de Goey LPH (2000) Modelling of premixed laminar flames using flamelet generated manifolds. Comb Sci Tech 161:113–137
van Oijen JA, de Goey LPH (2002) Modelling of premixed counterflow flames using the flamelet-generated manifold method. Combust Theory Model 6:463–478
van Oijen JA, Lammers FA, de Goey LPH (2001) Modeling of complex premixed burner systems by using flamelet-generated manifolds. Combust Flame 127:2124–2134
Venkatech PK, Chang AY, Dean AM et al (1997) Parameterization of pressure- and temperature-dependent kinetics in multiple well reactions. AIChE 43:1331–1340
Verhoeven LM, Ramaekers WJS, van Oijen JA et al (2012) Modeling non-premixed laminar co-flow flames using flamelet-generated manifolds. Combust Flame 159(1):230–241
Vervisch PE, Colin O, Michel J-B et al (2011) NO relaxation approach (NORA) to predict thermal NO in combustion chambers. Combust Flame 158:1480–1490
Wang LG, Fox RO (2003) Application of in situ adaptive tabulation to CFD simulation of nano-particle formation by reactive precipitation. Chem Eng Sci 58(19):4387–4401
Wang SW, Balakrishnan S, Georgopoulos P (2005) Fast equivalent operational model of tropospheric alkane photochemistry. AIChE J 51(4):1297–1303
Xie N, Battaglia F, Fox RO (2004) Simulations of multiphase reactive flows in fluidized beds using in situ adaptive tabulation. Combust Theor Model 8(2):195–209
Xu J, Pope SB (2000) PDF calculations of turbulent nonpremixed flames with local extinction. Combust Flame 123(3):281–307
You XQ, Packard A, Frenklach M (2012) Process informatics tools for predictive modeling: Hydrogen combustion. Int J Chem Kinet 44(2):101–116
You XQ, Russi T, Packard A et al (2011) Optimization of combustion kinetic models on a feasible set. Proc Combust Inst 33:509–516
Zádor J, Taatjes CA, Fernandes RX (2011) Kinetics of elementary reactions in autoignition chemistry. Prog Energy Combust Sci 37(4):371
Zhang P, Law CK (2009) A fitting formula for the falloff curves of unimolecular reactions. Int J Chem Kinet 41:727–734
Zhang P, Law CK (2011) A fitting formula for the falloff curves of unimolecular reactions, II: Tunneling effects. Int J Chem Kinet 43:31–42
Acknowledgments
TT acknowledges the financial support of OTKA grants K84054 and NN100523. AST acknowledges the financial support of EPSRC (GR/R39597/01).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag London
About this chapter
Cite this chapter
Turányi, T., Tomlin, A.S. (2013). Storage of Chemical Kinetic Information. In: Battin-Leclerc, F., Simmie, J., Blurock, E. (eds) Cleaner Combustion. Green Energy and Technology. Springer, London. https://doi.org/10.1007/978-1-4471-5307-8_19
Download citation
DOI: https://doi.org/10.1007/978-1-4471-5307-8_19
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5306-1
Online ISBN: 978-1-4471-5307-8
eBook Packages: EnergyEnergy (R0)