On-demand generation of reduced mechanisms based on hierarchically extended intrinsic low-dimensional manifolds in generalized coordinates

Proceedings of the Combustion Institute

Volumn 32 I, Issue 1, 2009, Pages 553-560

  König, Karin ^a   Maas, Ulrich ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Chemical kinetics; ILDM; Laminar flames; Reduced mechanisms

Indexed keywords

REACTION KINETICS;

GENERALIZED COORDINATES; HIGHER-DIMENSIONAL; ILDM; IMPLEMENTATION SCHEME; INTRINSIC LOW-DIMENSIONAL MANIFOLDS; LAMINAR FLAME; REDUCED MECHANISMS; STATIONARY SOLUTIONS;

COMBUSTION;

EID: 61849106913     PISSN: 15407489     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.proci.2008.05.039     Document Type: Article

References (54)

1. J. Warnatz, U. Maas, R.W. Dibble, Combustion. Physical and Chemical Fundamentals, Modeling and Simulation, Experiments, Pollutant Formation, Springer-Verlag, Berlin, Heidelberg, 2001.
2. A.S. Tomlin, T. Turanyi, M.J. Pilling, in: M.J. Pilling (Ed.), Mathematical Tools for the Construction, Investigation and Reduction of Combustion Mechanisms, Elsevier, Amsterdam, 1997, pp. 293-437.
3. M. D. Smooke, Lecture Notes in Physics, vol. 384, Springer, New York, 1991.
4. Z. Ren, S.B. Pope, Combust. Flame 147 (4) (2006) 243-261.
5. F. Williams, Combustion Theory, Addison-Wesley,
6. New York, 1985.
7. E. Hesstvedt, O. Hov, I. Isaksen, Int. J. Chem. Kinet. 10 (1978) 971-994.
8. J.C. Keck, Prog. Eng. Combust. Sci. 16 (2) (1990) 125-154.
9. Q. Tang, S.B. Pope, Combust. Theory Model. 8 (2) (2004) 255-279.
10. S.H. Lam, D.A. Goussis, Proc. Combust. Inst. 22 (1988) 931-941.
11. D.A. Goussis, S.H. Lam, Proc. Combust. Inst. 24 (1992) 113-120.
12. S.H. Lam, Combust. Sci. Technol. 89(5) (1993) 375-404.
13. A. Massias, D. Diamantis, E. Mastorakos, D.A. Goussis, Combust. Flame 117 (4) (1999) 685-708.
14. T. Lu, Y. Ju, C.K. Law, Combust. Flame 126 (1-2) (2001) 1445-1455.
15. M. Valorani, F. Creta, D.A. Goussis, J.C. Lee, H.N. Najm, Combust. Flame 146 (1-2) (2006) 29-51.
16. S.H. Lam, Combust. Sci. Technol. 179 (4) (2007) 767-786.
17. J.C. Lee, H.N. Najm, S. Lefantzi, et al., Combust. Theory Model. 11 (1) (2007) 73-102.
18. A.N. Gorban, I.V. Karlin, Chem. Eng. Sci. 58 (21) (2003) 4751-4768.
19. N.N. Bogolyubov, Y.A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, N. Y. Gordon and Breach, 1961.
20. N. Fenichel, J. Differ. Equations 31 (1) (1979) 53-98.
21. V. Goldshtein, V. Sobolev, AMS Transl. Ser. 2 153 (1992) 73-92.
22. S.J. Fraser, J. Chem. Phys. 88 (8) (1988) 4732-4738.
23. M.R. Roussel, S.J. Fraser, J. Chem. Phys. 93 (2) (1990) 1072-1081.
24. M.R. Roussel, S.J. Fraser, J. Phys. Chem. 97 (31) (1993) 8316-8327.
25. J.A. van Oijen, L.P.H. de Goey, Combust. Sci. Technol. 161 (1) (2000) 113-137.
26. U. Maas, S.B. Pope, FDA 93-11, Cornell University, 1993.
27. M.J. Davis, R.T. Skodje, J. Chem, Phys. 111 (3) (1999) 859-874.
28. Z. Ren, S.B. Pope, Proc. Combust. Inst. 30 (2005) 1293-1300.
29. Z. Ren, S.B. Pope, A. Vladimirsky, J.M. Gucken-heimer, J. Chem. Phys. 124 (11) (2006) 114111.
30. Z. Ren, S.B. Pope, A. Vladimirsky, J.M. Gucken-heimer, Proc. Combust. Inst. 30 (2007) 473-481.
31. M.J. Davis, J. Phys. Chem. A 110 (16) (2006) 5235-5256, 5257-5272.
32. V. Bykov, U. Maas, Combust. Theory Model. 11 (6) (2007) 839-862.
33. U. Maas, S.B. Pope, Combust. Flame 88 (3-4) (1992) 239-264.
34. U. Maas, S.B. Pope, Proc. Combust. Inst. 24 (1992) 103-112.
35. R.T. Skodje, M.J. Davis, J. Phys. Chem. A 105 (45) (2001) 10356-10365.
36. U. Maas, S.B. Pope, Proc. Combust. Inst. 25 (1994) 1349-1356.
37. T. Blasenbrey, U. Maas, Proc. Combust. Inst. 28 (2000) 1623-1630.
38. R.L.G.M. Eggeis, L.P.H. de Goey, Combust. Flame 100 (4) (1995) 559-570.
39. O. Gicquel, D. Thevenin, M. Hilka, N. Darabiha, Combust. Theory Model. 3 (3) (1999) 479-502.
40. J. Nafe, U. Maas, Proc. Combust. Inst. 29 (2002) 1379-1385.
41. U. Maas, Comput. Vis. Sci. 1 (1998) 69-82.
42. J. Nafe, U. Maas, Combust. Flame 135 (1-2) (2003) 17-26.
43. K. König, U. Maas, Proc. Combust. Inst. 30 (2005) 1317-1323.
44. V. Bykov, U. Maas, Proc. Combust. Inst. 31 (2007) 465-472.
45. V. Bykov, U. Maas, Proc. 20th ICDERS, P244, Montreal, Canada, 2006.
46. J. Bauer, V. Bykov, U. Maas, in: P. Wesseling, E. Oñate, J. Périaux (Eds.), Proc. ECCOMAS CFD, No. 475, Egmond aan Zee, The Netherlands, 2006, available at 〈http://proceedings.fyper.com/ eccomascfd2006/〉, ISBN 90-9020970-0.
47. Z. Ren, S.B. Pope, Combust. Theory Model. 11 (5) (2007) 715-739.
48. P.A. Nooren, H.A. Wouters, T.W.J. Peeters, D. Roekaerts, U. Maas, D. Schmidt, Combust. Theory Model. 1 (1) (1997) 79-96.
49. B. Naud, B. Merci, D. Roekaerts, D. Schmidt, U. Maas, in: K. Hanjalic, Y. Nagano, S. Jakirlic (Eds.), Proc. 5th Symp. Turbulence, Mass and Heat Transfer, Croatia, Begell House, 2006.
50. S.B. Pope, Combust. Theory Model. 1 (1) (1997) 41-63.
51. S.R. Tonse, N.W. Moriarty, N.J. Brown, M. Frenklach, Isr. J. Chem. 39 (1999) 97-106.
52. C. Correa, H. Niemann, B. Schramm, J. Warnatz, Proc. Combust. Inst. 28 (2000) 1607-1614.
53. G.H. Golub, C.F. van Loan, Matrix Computations, The John Hopkins University Press, Baltimore and London, 1996.
54. U. Maas, Proc. 1st. MIT Conference, Elsevier, Amsterdam, 2001, pp. 1304-1308.