Statistical Analysis and Verification of a New Premixed Combustion Model with DNS Data
Maximilian Hansinger, Michael Pfitzner, Markus Klein
Abstract
In this paper, a new analytical premixed flamelet pdf model based on a surrogate reaction source term, is verified with a planar laminar flame and validated using explicitly filtered direct numerical simulation (DNS) data of statistically planar turbulent premixed flames with single-step irreversible Arrhenius chemistry at two different Karlovitz numbers. It is shown that the modeled filtered reaction source term ω‾m is in excellent agreement with the one using the Arrhenius source term ω‾A for the planar laminar flame over a wide range of filter widths. The model performs also very well on the filtered turbulent DNS data provided that a flame normalized isosurface area Ξiso(ciso) is incorporated. Interestingly, the model performance improves with increasing filter widths. This makes it an ideal candidate for high-pressure premixed combustion where usually the filter widths ΔLES are much larger than the flame’s thermal reaction zone thickness δth.