NUMERICAL STUDY OF THERMAL-DIFFUSIVE INSTABILITY OF PREMIXED FLAMES

The 2-D thermal-diffusive model of premixed flames is solved numerically. The growth rates of the thermal-diffusive instability are compared to the linear theory. It is shown that the discrepancy, although large (a relative error than can be larger than 100%), behaves like O(1/beta) as expected by asymptotics (beta being the reduced activation energy or Zeldovich number). We additionally present results far in the non-linear domain. They exhibit turbulent behaviour which are qualitatively similar to the dynamical properties of the Kuramoto-Sivashinsky model-equation.