A model to simulate numerically self-ignition and combustion of initially n
on-premixed turbulent systems is proposed. Its development is based on Dire
ct Numerical Simulations (DNS) of turbulent mixing layers between cold fuel
and a hot oxidizer. The direct numerical simulations are used to better un
derstand the physical mechanisms controlling mixing, self-ignition, and est
ablishment of combustion inside turbulent mixing layers. They are also used
to define the mathematical formulation of the model, and to test its assum
ptions. The model has a component for self-ignition and an additional compo
nent for subsequent high-temperature combustion. Self-ignition is simulated
using an approach based on presumed Probability Density Functions (PDFA mo
del) that takes into account the effects of turbulence on mixing formation
during and after self-ignition. The PDFA model describes the turbulent reac
ting flow using a mixture fraction variable and a generalized reaction prog
ress variable, The high-temperature combustion, established after self-igni
tion has occurred, is computed using a flamelet approach (CHI model). The t
wo model components are coupled by a function of the progress variable dedu
ced from DNS results. The PDFA-CHI model is implemented in a Reynolds avera
ged Computational Fluid Dynamics (CFD) code, and is tested in one-dimension
al (1D) and two-dimensional (2D) configurations. The computational results
reproduce ignition phenomena in the turbulent held similar to the DNS calcu
lations. (C) 2001 by The Combustion Institute.