Abstract
We solve the 2-D thermo-diffusive model of premixed flames in the framework of Fourier Spectral Methods. Although the temperature and concentration fields are not periodic in the direction perpendicular to the flame, we suggest a particular treatment, simple to implement, that is applied to these quantities in order to transform them into the sum of a known profile and a periodic unknown. This process also takes advantage of the fact that the physics of flames allows us to consider as periodic the higher derivatives. “Infinite” order convergence of Spectral Methods is thus recovered. This algorithm being very efficient, we can perform numerical simulation concerning the diffusive-thermal instability, far in the non-linear domain. Thus, at low Lewis number, we numerically observed, for the first time to our knowledge, a phenomenon of local extinction. This brings a plausible explanation to the presence of unburnt combustible in the lean hydrogen flame.
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Denet, B., Haldenwang, P. (1989). A local extinction of the thermo-diffusive premixed flame at low Lewis number. In: Dervieux, A., Larrouturou, B. (eds) Numerical Combustion. Lecture Notes in Physics, vol 351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51968-8_86
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DOI: https://doi.org/10.1007/3-540-51968-8_86
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