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This paper reports on numerical investigations of the mixing, ignition and combustion processes in a laboratory engine operating under partially premixed combustion (PPC) conditions. The engine is a modified version of a 13-liter Scania D13 engine. The fuel is injected at two different timings with different fuel mass portions at the two injections, with and without swirl. For comparison one single injection simulation with swirl is also performed. In literature it has been found that by optimizing the injection timing and amount of injected fuel at different injection timing, the heat release and combustion process can be optimized and thus high engine efficiency and low emission levels can be achieved. The goal of this study is to improve the understanding of the important phenomena involved. Large Eddy Simulation for the gas phase is coupled with Lagrangian Particle Tracking (LPT) for the liquid phase.