The field of jet engines has reached such a level of advancement and technological refinement that contributing to the current state of the art is getting more and more difficult over the years. Despite this engineering saturation, engine reliability remains under strict scrutiny by every manufacturer. One of the main challenges in keeping such a complex system safe is developing real-time simulation algorithms that are able to predict all possible malfunctions, either to avoid them or to stop them in time. The main goal of this thesis is to present a complete simulation of a turbojet engine (namely a GE-J85) which is able to identify anomalies in the compressor, like rotating stall or surge.