Turbulent combustion is the basic physical phenomenon responsible
for efficient energy release by any internal combustion engine. However
it is accompanied by other undesirable phenomena such as noise, pollutant
species emission or damaging instabilities that may even lead to
the system desctruction. It is then crucial to control this phenomenon,
to understand all its mecanisms and to master it in industrial systems.
For long time turbulent combustion has been explored only through theory
and experiment. But the rapid increase of computers power during the
last years has allowed an important development of numerical simulation,
that has become today an essential tool for research and technical
design. Direct numerical simulation has then allowed to rapidly
progress in the knowledge of turbulent flame structures, leading to
new modelisations for steady averaged simulations. Recently large eddy
simulation has made a new step forward by refining the description
of complex and unsteady flames. The main problem that arises when
performing numerical simulation of turbulent combustion is linked
to the description of the flame front. Being very thin, it can not
however be reduced to a simple interface as it is the location of intense
chemical transformation and of strong variations of thermodynamical
quantities. Capturing the internal structure of a zone with a thickness
of the order of 0.1 mm in a computation with a mesh step 10 times
larger being impossible, it is necessary to model the turbulent
flame. Models depend on the chemical structure of the flame, on the
ambiant turbulence, on the combustion regime (flamelets, distributed
combustion, etc.) and on the reactants injection mode (premixed
or not). One finds then a large class of models, from the most simple
algebraic model with a one-step chemical kinetics, to the most complex
model involving probablity density functions, cross-correlations and
multiple-step or fully complex chemical kinetics.