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A dual-piston, two-stroke, compression ignition free piston engine has been simulated with zero- and one-dimensional performance simulation codes. The simulation models used in the codes have been developed to analyze and improve the internal combustion engine process of a hydraulic free piston engine prototype. The prototype was designed and constructed in Tampere University of Technology at the Institute of Hydraulics and Automation. Performance simulation analyses were conducted in Helsinki University of Technology at the Internal Combustion Engine Laboratory. The zero-dimensional model is used for the simulation of piston dynamics. The one-dimensional model is used for performance simulation, especially for the simulation of gas exchange process. The simulation results were verified through prototype engine measurements.