Abstract : This thesis is focused on the prediction capabilities of pollution (CO, NOx especially) for numerical tools applied to aeronautical combustion chambers. The modeling work is based on Large-Eddy Simulation methods coupled with a tabulated detailed chemistry approach. The PCM-FPI model, which stands for Presumed Conditional Moments - Flame Prolongation of ILDM, has been revised to take into account nitrogen chemistry through a modification of the progress variable. Several benchmarks and test-cases (laminar and turbulent flames) are gathered in this study : Cabra and Sandia flames have been computed and satisfactory comparisons with measurements are obtained. The role of CH2O as a marker of heat release is investigated, first in the frame of laminar premixed flames and then validated through LES runs. The challenges of the implementation of tabulated chemistry methods on massively parallel machines are discussed. Modifications are proposed regarding both the table structure and the interpolation methods leading to a mesh sensitivity review applied to the Sandia D flame. Difficulties arising when dealing with NOx chemistry in turbulent flows are presented : new Sub-Grid Scale models are introduced and investigated.