One-dimensional aerodynamic thermodynamic mathematic models for each component of aero engine were formulated. This model can be used to estimate the components and full engine system-s performance. A full engine flow simulation was done by applying this model. Viscous effects of the gas and secondary flow losses were considered as source terms of the Euler equation. High-order Godunov-s scheme possessed TVD characteristic was used in solving the governing equation, which shows good numerical stability and shock capturing capability. The model was executed using time-marching method and alternatively explicit/implicit schemes, so that convergence was fast and the accuracy was satisfactory compared with test data. A full flow of turbofan engine simulation was done by applying this model. The simulation result includes velocity characteristics and throttle characteristics shows good accuracy compared with test data.