Abstract
We present the special use of domain decomposition, operator splitting and function decomposition combined with asymptotic analytical qualitative results to obtain, on parallel computers, efficient and accurate solvers [4] adapted to the nature of the solution of combustion fronts. We develop a technique to compute non periodics solutions with Fourier expansion. Our applications in gas combustion, combustion of solid as well as frontal polymerization [5, 6] are characterized by stiff fronts that propagate with nonlinear dynamics. The multiple scale phenomena under consideration lead to very intense computations [7]. Our motivation is to study the interaction between a mechanism of convective instability similar to Rayleigh Bénard instability and a mechanism of thermal instability well known in solid combustion [3, 9].
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References
A. Bayliss, M. Garbey and B.J. Matkowsky, J. Comput. Phys. 119, pp. 132–141, (1995).
A. Bayliss, D. Gottlieb, B.J. Matkowsky, and M. Minkoff, J. Comput. Phys. 81, pp 421–443 (1989)
S. B. Margolis, H.G. Kaper, G.K. Leaf, and B.J. Matkowsky, Comb. Sci. and Tech. 43(1985), pp. 127–165.
M. Garbey, SIAM J. Sci.Comput. Vol 15 No 4, pp866–891, 1994.
M. Garbey, A. Taik, and V. Volpert, Influence of natural convection on stability of reaction fronts in liquid Quart. Appl. Math (to appear).
M. Garbey, A. Taik, and V. Volpert, Linear stability analysis of reaction fronts in liquid Quart. Appl. Math (to appear).
M. Garbey and V. Volpert, Asymptotic and Numerical Computation of Polymerization Fronts submitted to J. Comp. Phys.
A. Bayliss and B.J. Matkowsky, SIAM J. Appl. Math., 50 (1990) 437–459.
M. Garbey, H.G. Kaper, G.K. Leaf, and B.J. Matkowsky, J. of Symbolic Comp. 12,pp 89–113 (1991).
M. Garbey, H.G. Kaper, preprint Argonne Nat. Lab. submitted to SIAM. J. Num. Analysis.
D. Gottlieb and R. S. Hirsh, Parallel Pseudospectral Domain Decomposition Techniques
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© 1996 Springer-Verlag Berlin Heidelberg
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Garbey, M., Tromeur-Dervout, D. (1996). Computing stiff propagating combustion fronts between walls on MIMD architecture. In: Liddell, H., Colbrook, A., Hertzberger, B., Sloot, P. (eds) High-Performance Computing and Networking. HPCN-Europe 1996. Lecture Notes in Computer Science, vol 1067. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61142-8_676
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DOI: https://doi.org/10.1007/3-540-61142-8_676
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