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In spite of the efficiency of Computational Fluid Dynamics (CFD) as a design tool, numerical simulations of gaseous fuel injection have not been widely adopted because of the difficulty in modeling the complicated physical phenomena associated with high speed gas flows. In the present study, a new model for simulating transient direct injection of gaseous phase fuel, including hydrogen, into a combustion chamber using a practical computational grid was developed. The model was implemented into KIVA3V, a multi-dimensional CFD code. The new model employs several sub-models to describe the physical phenomena of high speed gas injection. The underexpanded jet issuing from the nozzle was modeled using the conditions at the Mach disk as inflow boundary conditions. The effect of turbulence is shown to lead to non-unique flow solutions.