  In this Letter, we introduce a new inline model for stimulated Raman
scattering (SRS), which runs on our radiation hydrodynamics code TROLL. The
modeling follows from a simplified version of a rigorous theory for SRS, which
we describe, and accounts for nonlinear kinetic effects. It also accounts for
the SRS feedback on the plasma hydrodynamics. We dubbed it PIEM because it is a
fully PredIctivE Model, no free parameter is to be adjusted \textit{a
posteriori}~in order to match experimental results. PIEM predictions are
compared against experimental measurements performed at the Ligne
d'Int\'egration Laser. From these comparisons, we discuss PIEM ability to
correctly catch the impact of nonlinear kinetic effects on SRS.
