Upwind computation of steady planar flames with complex chemistry
ESAIM: Modélisation mathématique et analyse numérique, Tome 25 (1991) no. 1, pp. 67-91. 
@article{M2AN_1991__25_1_67_0,
     author = {Ghilani, M. and Larrouturou, B.},
     title = {Upwind computation of steady planar flames with complex chemistry},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {67--91},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {25},
     number = {1},
     year = {1991},
     mrnumber = {1086841},
     zbl = {0717.65109},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1991__25_1_67_0/}
}
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Ghilani, M.; Larrouturou, B. Upwind computation of steady planar flames with complex chemistry. ESAIM: Modélisation mathématique et analyse numérique, Tome 25 (1991) no. 1, pp. 67-91. http://www.numdam.org/item/M2AN_1991__25_1_67_0/

[1] A. K. Aziz ed, The mathematical foundations of the finite-element method withapplications to partial differential equations, Academic Press, NewYork (1972) | MR | Zbl

[2] P. G. Clarlet, The finite-element method for elliptic problems, Studies in Math and Appl, North-Holland, New York (1978) | MR | Zbl

[3] P. Clavin, Dynamic behavior of premixed flame fronts in laminar and turbulent flows, Prog Energ Comb Sci, 11, pp 1-59 (1985)

[4] J. Donea, Recent advances in computational methods for steady and transient transport problems, Nuclear Eng Design, 80, pp 141-162 (1984)

[5] M. Ghilani, Simulation numérique de flammes planes stationnaires avec chimiecomplexe, Thesis, Université Paris-Sud (1987)

[6] D. F. Griffiths & J. Lorenz, An analysis of the Petrov-Galerkin finite-element method, Comp Meth Appl Mech Eng, 14, pp 39-64 (1978) | MR | Zbl

[7] T. J. R. Hughes, A simple scheme for developing upwindfïnite éléments, Int. J. Num. Meth. Eng., 12, pp. 1359-1365 (1978). | Zbl

[8] B. Larrouturou, The equations of one-dimensional unsteady flame propagation : existence and uniquenes, SI AM J. Math. Anal., 19 (1), pp. 32-59 (1988). | MR | Zbl

[9] B. Larrouturou, Introduction to combustion modelling, Springer Series in Computational Physics, to appear.

[10] N. Peters & J. Warnatz eds, Numerical methods in laminar flame propagation, Notes in Numerical Fluid Mechanics, 6, Vieweg, Braunschweig (1982). | MR | Zbl

[11] R. D. Rjchtmyer & K. W. Morton, Difference methods for initial value problems, Wiley, New York (1967). | Zbl

[12] M. Sermange, Mathematical and numerical aspects of one-dimensional laminar flame simulation, Appl. Math. Opt., 14 (2), pp. 131-154 (1986). | MR | Zbl

[13] M. D. Smooke, Solution of burner stabilized premixed laminar flames by boundary values methods, J. Comp. Phys., 48, pp. 72-105 (1982). | Zbl

[14] M. D. Smooke, J. A. Miller & R. J. Kee, Determination of adiabatic flames speeds by boundary value methods, Comb. Sci. Tech., 34, pp. 79-90 (1983).

[15] R. F. Warming & F. Hyett, The modified equation approach to the stabilityand accuracy analysis of finite-difference methods, J. Comp. Phys., 14 (2), p.159 (1974). | MR | Zbl

[16] F. A. Williams, Combustion theory, second édition, Benjamin Cummings, Menlo Park (1985).