Traveling Waves in Natural Counterflow Filtration Combustion and Their Stability

SIAM Journal on Applied Mathematics

Volumn 58, Issue 3, 1998, Pages 806-852

  Schult, D A ^a   Bayliss, A ^b   Matkowsky, B J ^b  

^a Center for Language and Brain   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Asymptotic expansions; Combustion; Counterflow; Porous; Pseudospectral; Stability

Indexed keywords

COMPUTER SIMULATION; FILTRATION; NUMERICAL ANALYSIS; POROUS MATERIALS; STABILITY;

ASYMPTOTIC EXPANSIONS; COUNTERFLOW;

COMBUSTION;

EID: 0032095622     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139999630475     Document Type: Article

References (21)

1. A. P. ALDUSHIN AND S. G. KASPARYAN, Stability of stationary filtrational combustion waves, Combustixplosion and Shock Waves, 17 (1981), pp. 615-625.
2. A. P. ALDUSHIN, B. J. MATKOWSKY, AND V. A. VOLPERT, Stoichiometric flames and their stability, Combustion and Flame, 101 (1995), pp. 15-25.
3. A. BAYLISS, D. GOTTLIEB, B. J. MATKOWSKY, AND M. MINKOFF, An adaptive pseudo-spectral method for reaction diffusion problems, J. Comput. Phys., 81 (1989), pp. 421-443.
4. A. BAYLISS, R. KUSKE, AND B. J. MATKOWSKY, A two-dimensional adaptive pseudo-spectral method, J. Comput. Phys., 91 (1990), pp. 174-196.
5. A. BAYLISS AND B. J. MATKOWSKY, Fronts, relaxation oscillations and period doubling in solid fuel combustio, J. Comput. Phys., 71 (1987), pp. 147-168.
6. A. BAYLISS AND B. J. MATKOWSKY, Two routes to chaos in condensed phase combustion, SIAM J. Appl. Math., 50 (1990), pp. 437-459.
7. M. R. BOOTY AND B. J. MATKOWSKY, On the stability of counter flow filtration combustion, Combustion Sci. Tech., 80 (1991), pp. 231-264.
8. M. R. BOOTY, S. B. MARGOLIS, AND B. J. MATKOWSKY, Interaction of pulsating and spinning waves in condensed phase combustion, SIAM Appl. Math., 46 (1986), pp. 801-843.
9. C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, AND T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988.
10. S. B. MARGOLIS AND B. J. MATKOWSKY, Nonlinear stability and bifurcation in the transition from laminar to turbulent flame propagation, Combustion Sci. Tech., 34 (1983), pp. 45-77.
11. S. B. MARGOLIS, An asymptotic theory of condensed two-phase flame propagation, SIAM J. Appl. Math., 43 (1983), pp. 351-369.
12. B. J. MATKOWSKY AND G. SIVASHINSKY, Propagation of a pulsating reaction front in solid fuel combustion, SIAM Appl. Math., 35 (1978), pp. 465-478.
13. B. J. MATKOWSKY AND G. SIVASHINSKY, An asymptotic derivation of two models in flame theory associated with the constant density approximation, SIAM. J. Appl. Math., 37 (1979), pp. 686-699.
14. B. J. MATKOWSKY AND V. I. VOLPERT, Coupled nonlocal complex Ginsburg-Landau equations in gasless combustion, Phys, D, 54 (1992), pp. 203-219.
15. W. H. PRESS, S. A. TEUKOLSKY, AND W. T. VETTERLING, AND B. P. FLANNERY, Numerical Recipes, Cambridge University Press, Cambridge, UK, 1986.
16. D. A. SCHULT, B. J. MATKOWSKY, V. A. VOLPERT, AND A. C. FERNANDEZ-PELLO, Forced forward smolder combustion, Combustion and Flame, 104 (1996), pp. 1-26.
17. G. I. SIVASHINSKY, Structure of Bunsen flames, J. Chem. Phys., 62 (1975), pp. 638-643.
18. G. I. SIVASHINSKY, On spinning propagation of combustion waves, SIAM Appl. Math., 40 (1981), pp. 432-438.
19. K. G. SHKADINSKY, B. J. KHAIKIN, AND A. G. MERZHANOV, Propagation of a pulsating exothermic reaction front in the condensed phase, Combustion, Explosion and Shock Waves (USSR), 7 (1971), pp. 15-22.
20. K. G. SHKADINSKY, G. V. SHKADINSKAYA, B. J. MATKOWSKY, AND V. A. VOLPERT, Combustion synthesis of a porous layer, Combustion Sci. Tech., 88 (1992), pp. 247-270.
21. K. G. SHKADINSKY, G. V. SHKADINSKAYA, B. J. MATKOWSKY, AND V. A. VOLPERT, 2-Front traveling waves infiltration combustion, SIAM J. Appl. Math., 53 (1993), pp. 128-140.