Abstract
The stability of a plane, premixed, adiabatic flame is re-examined for finite activation energies. Preliminary results are given for one-dimensional disturbances. The full governing equations for an unsteady propagating flame are then solved using a novel numerical approach called WOFD, a waveleto-ptimized finite difference method. This method is briefly described here and preliminary results are reported. As a result of this work, we strongly recommend that new and old algorithms should be tested at activation energies of 40 and 60 and compared to the results presented here as a gauge to the accuracy of the numerical solution.
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Peters, N. and Warnatz, J., eds., Numerical Methods in Laminar Flame Propagation, Vieweg, Braunschweig/Wiesbaden, (1982).
Rogg, B., “The effect of Lewis number greater than unity on an unsteady propagating flame with one-step chemistry” in Numerical Methods in Laminar Flame Propagation, N. Peters and J. Warnatz (eds.), Vieweg, Braunschweig/Wiesbaden, pp. 38–48, (1982).
Denet, B. and Haldenwang, P., “Numerical study of thermal-diffusive instability of premixed flames”, Combust. Sci. Technol. 86:199–221 (1992).
Peters, N., “Theoretical implications of nonequal diffusivities of heat and matter on the stability of a plane premixed flame”, in Numerical Methods in Laminar Flame Propagation, N. Peters and J. Warnatz (eds.), Vieweg, Braunschweig/Wiesbaden, pp. 29–37, (1982).
Lasseigne, D.G., Jackson, T.L. and Grosch, C.E., “Stability of premixed, nonadiabatic flames with finite activation energy”, in preparation, (1994).
Jameson, L., “On the wavelet optimized finite difference method”, ICASE Report No. 94-9 (1994).
Jameson, L., Jackson, T.L. and Hussaim, M.Y., “WOFD with applications to unstable problems in combustion”, in preparation, (1994).
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© 1995 Springer-Verlag
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Jameson, L., Jackson, T.L., Lasseigne, D.G. (1995). Wavelets as a numerical tool. In: Buckmaster, J., Takeno, T. (eds) Modeling in Combustion Science. Lecture Notes in Physics, vol 449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59224-5_16
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DOI: https://doi.org/10.1007/3-540-59224-5_16
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Online ISBN: 978-3-540-49226-9
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