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This study was undertaken to develop a method of numerical performance prediction for application to the development of controlled-auto-ignition (CAI) natural gas engines. By using a combustion model based on analyzed combustion data and introducing this to a commercial one-dimensional gas dynamic simulator, we attempted to establish a means of attaining a highly accurate performance prediction while reducing the calculation load. The combustion model was separately calibrated for two models, namely, the auto-ignition timing of the combustion and the mass fraction burned. As a result, the combustion modeling was able to successfully predict the accuracy of the auto-ignition timing difference at 0.03 degree of crank angle on average, and 0.95 degree in the 2σ region. Furthermore, the functions of the mass fraction burned were expressed using closely correlated in-cylinder parameters.