An adaptive two-dimensional wavelet-vaguelette algorithm for the computation of flame balls

Combustion Theory and Modelling

Volumn 3, Issue 1, 1999, Pages 177-198

  Bockhorn, Henning ^a   Fröhlich, Jochen ^a,b   Schneider, Kai ^a,c  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b ZUSE INSTITUTE BERLIN   (Germany)

^c CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FLAME; MATHEMATICAL MODELING;

EID: 0033105796     PISSN: 13647830     EISSN: None     Source Type: Journal    
DOI: 10.1088/1364-7830/3/1/010     Document Type: Article

References (40)

1. Bertoluzza S and Naldi G 1994 Some remarks on wavelet interpolation Comput. Appl. Math 13 13-32
2. Buckmaster J 1993 The structure and stability of laminar flames Annual Reviews in Fluid Mechanics vol 25 pp 21-53 (Palo Alto, CA: Annual Reviews)
3. Buckmaster J, Gessman R and Ronney P 1992 The three-dimensional dynamics of flame-balls 24th Int. Symp. on Combustion (Pittsburgh, PA: Combustion Institute) pp 53-9
4. Buckmaster J, Joulin G and Ronney P 1990 The structure and stability of nonadiabatic flame-balls Combust. Flame 79 381-92
5. Buckmaster J, Joulin G and Ronney P 1991 The structure and stability of nonadiabatic flame-balls: II effects of far-field losses Combust. Flame 84 411-22
6. Buckmaster J, Smooke M and Giovangili V 1993 Analytical and numerical modelling of flame-balls in hydrogenair mixtures Combust. Flame 94 113-24
7. Buckmaster J and Weeratunga S 1984 The stability and structure of flame-bubbles Combust. Sci. Technol. 35 287-96
8. Bush W B and Fendel F E 1970 Asymptotic analysis of laminar flame propagation for general Lewis number Combust. Sci. Technol. 1 421-8
9. Cai W and Wang J 1996 Adaptive multiresolution collocation methods for initial boundary value problems of nonlinear PDEs SIAM J. Numer. Anal. 33 937-70
10. Chui C K 1992 An Introduction to Wavelets (New York: Academic)
11. Dahlke S and Weinreich I 1993 Wavelet-Galerkin methods, an adapted biorthogonal wavelet basis Constr. Approx. 9 237-62
12. Dahmen W 1997 Wavelet and multiscale methods for operator equations Acta Numerica 655
13. Daubechies I 1992 Ten Lectures on Wavelets (Philadelphia, PA: SIAM)
14. Denet B and Haldenwang P 1989 A local extinction of the thermodiffusive premised flame at low Lewis number Numerical Combustion (Lecture Notes in Physics vol 351) ed A Dervieux and B Larrouturou (Berlin: Springer) pp 223-32
15. Dervieux A, Larrouturou B and Peyret R 1989 On some adaptive numerical approaches of thin-flame propagation problems Comput. Fluids 17 39-60
16. Deshaies B and Joulin G 1984 On the initiation of a spherical flame kernel Combust. Sci. Technol. 37 99-116
17. DeVore R A, Jawerth B and Popov V 1992 Compression of wavelet decomposition Am. J. Math. 114 737-85
18. Donoho D L 1993 Unconditional bases are optimal bases for data compression and statistical estimation Appl. Comput. Harmonic Anal. 1 100-15
19. Farge M, Kevlahan N, Perrier V and Schneider K 1998 Turbulence analysis, modelling and computing using wavelets Wavelets and Physics (Cambridge: Cambridge University Press)
20. Fröhlich J and Schneider K 1994 An adaptive wavelet Galerkin algorithm for one-and two-dimensional flame computations Eur. J. Mech. B 13 439-71
21. Fröhlich J and Schneider K 1996 Numerical simulation of turbulent flows in an adaptive wavelet basis Appl. Comput. Harmonic Anal. 3 393-7
22. Fröhlich J and Schneider K 1997 An adaptive wavelet-vaguelette algorithm for the solution of nonlinear PDEs J. Comput. Phys. 130 174-90
23. Jawerth B and Sweldens W 1994 An overview of wavelet based multiresolution analyses SIAM Rev. 36 377-412
24. Joly P, Maday Y and Perrier V 1994 Towards a method for solving partial differential equation using wavelet packets Comput. Methods Appl. Mech. Engng 116 301-7
25. Kagan L and Sivashinski G 1996 Incomplete combustion in nonadiabatic premixed gas flames Phys. Rev. E 53
26. Kagan L and Sivashinski G 1997 Self-fragmentation of nonadiabatic cellular flames Combust. Flame 108 1220-6
27. Liandrat J and Tchamitchian Ph 1990 Resolution of the 1-D regularized Burgers equation using a spatial wavelet approximation algorithm and numerical results Technical report ICASE
28. Lozinski D. Buckmaster J and Ronney P 1994 Absolute flamability limits and flame-balls Combust. Flame 97
29. Maday Y, Perrier V and Ravel J Ch 1991 Adaptivité dynamique sur bases d'ondelettes pour l'approximation d'équations aux derivées partielles C. R. Acad. Sci., Paris I 312 405-10
30. Meyer Y 1990 Ondelettes et Opérateurs I/II (Paris: Hermann)
31. Perrier V and Basdevant C 1989 La décomposition en ondelettes périodiques, un outil pour l'analyse de champs inhomogènes Théorie et algorithmes Rech. Aérosp. 3 53-67
32. Ronney P 1990 Near-limit flame structures at low Lewis number Combust. Flame 82 1-14
33. Ronney P1998 Premixed laminar and turbulent flames at microgravity Space Forum submitted
34. Ronney P D and Sivashinsky G I 1989 A theoretical study of propagation and extinction of nonsteady spherical flame fronts SIAM J. Appl. Math. 49 1029-46
35. Schoenberg I J 1969 Cardinal interpolation and spline functions J. Approx. Theory 2 167-206
36. Tchamitchian Ph and Schneider K 1997 in manuscript
37. Williams F A 1985 Combustion Theory (Merto Park, CA: Benjamm-Cummings)
38. Williams J R and Amaratunga K 1995 A multiscale wavelet solver with O(n) complexity J. Comput. Phys. 122 30-8
39. Wu M and Ronney P 1998 Numerical simulation of diluent effects on flame balls Technical report Department of Mechanical Engineering, University of Southern California, CA
40. Zeldovich Ya B 1944 Theory of Combustion and Detonation of Gases (Moscow: Academy of Sciences)