Mathematical models for each component of aero engine based on S2 surface theory were analyzed.Afull engine S2 flow simulation was performed using this method.High order Godunov's scheme was used

presenting good numerical stability and shock capturing capability.Viscous effects and secondary flow losses were treated as source terms.Their influence on the components and full engine system's performance were estimated effectively.Aconservative process was taken to handle the parameter transfer between neighboring domains

ensuring the consistency of flux.The method features high accuracy by comparing the simulation and experimental results.