Upwind computation of steady planar flames with complex chemistry

 Access to full text

 Full (PDF)

1. [1] A. K. Aziz ed, The mathematical foundations of the finite-element method withapplications to partial differential equations, Academic Press, NewYork (1972) Zbl0259.00014MR347104
2. [2] P. G. ClARLET, The finite-element method for elliptic problems, Studies in Math and Appl, North-Holland, New York (1978) Zbl0383.65058MR520174
3. [3] P. CLAVIN, Dynamic behavior of premixed flame fronts in laminar and turbulent flows, Prog Energ Comb Sci, 11, pp 1-59 (1985) 
4. [4] J. DONEA, Recent advances in computational methods for steady and transient transport problems, Nuclear Eng Design, 80, pp 141-162 (1984) 
5. [5] M. GHILANI, Simulation numérique de flammes planes stationnaires avec chimiecomplexe, Thesis, Université Paris-Sud (1987) 
6. [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) Zbl0384.76065MR502036
7. [7] T. J. R. HUGHES, A simple scheme for developing upwindfïnite éléments, Int. J. Num. Meth. Eng., 12, pp. 1359-1365 (1978). Zbl0393.65044
8. [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). Zbl0662.35090MR924543
9. [9] B. LARROUTUROU, Introduction to combustion modelling, Springer Series in Computational Physics, to appear. 
10. [10] N. PETERS & J. WARNATZ eds, Numerical methods in laminar flame propagation, Notes in Numerical Fluid Mechanics, 6, Vieweg, Braunschweig (1982). Zbl0536.00017MR736841
11. [11] R. D. RJCHTMYER & K. W. MORTON, Difference methods for initial value problems, Wiley, New York (1967). Zbl0155.47502
12. [12] M. SERMANGE, Mathematical and numerical aspects of one-dimensional laminar flame simulation, Appl. Math. Opt., 14 (2), pp. 131-154 (1986). Zbl0654.65085MR863336
13. [13] M. D. SMOOKE, Solution of burner stabilized premixed laminar flames by boundary values methods, J. Comp. Phys., 48, pp. 72-105 (1982). Zbl0492.65065
14. [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. [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). Zbl0291.65023MR339526
16. [16] F. A. WILLIAMS, Combustion theory, second édition, Benjamin Cummings, Menlo Park (1985). 

1. Yves D'Angelo, Bernard Larrouturou, Comparison and analysis of some numerical schemes for stiff complex chemistry problems