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In the GDI engines, the accuracy of the numerical results and their contribution to the design analysis and optimization tasks strongly depend on the predictive capabilities of the physical processes. While most of the studies apply RANS concept, in this contribution LES methodology is suggested as suitable unsteady approach for simulating spray dynamics including GDI processes using KIVA-4 CFD-code. A comprehensive model is integrated in a Eulerian-Lagrangian framework allowing to describe the spray evolving from the injector nozzle and propagating within the combustion chamber. It includes sub-models to account for various relevant sub-processes. The atomization is described using combined primary and secondary atomization sub-models. Instead of performing costly level set method or VOF technique, a LISA-based sub-model is applied for the primary atomization. The secondary atomization is modeled by a TAB model.