On model evolution equations for the whole surface of three-dimensional expanding wrinkled premixed flames

Borrowing the structure of building blocks from potential hydrodynamics, we set up model evolution equations to mimic moderately wrinkled three-dimens ional flames expanding in gaseous premixtures. These evolution equations in corporate a hydrodynamic instability, local curvature effects, a Huygens-ty pe nonlinearity, and can cope with broad-banded forcing whenever needed. Ps eudo-spectral integrations in the Legendre-Fourier basis yield evolutions o f the whole front that are in striking qualitative agreement with experimen ts on free or weakly forced propagations. Our results are robust against ed ucated changes in the modelling, Provided an accurate evolution equation is available, this approach can simulate expanding flames which are quite a b it larger than what DNS can currently handle, at least in the chosen config urations.