Hall Effect Thrusters (HETs) are used for satellites applications, particularly orbiting at Low/Geo Earth Orbit (LEO/GEO) for telecommunications and government spacecraft because of their efficiency and competitiveness if compared to other electric propulsion devices. Furthermore, HETs have great potential because, in the future, they could be used for orbit transfers and interplanetary space missions. The erosion of HETs channel walls represents the main limiting factor of thrusters lifetime. Experimental characterization of erosion is expensive and time consuming, since thrusters lifetime is in the order of thousands of hours, hence the need of computational models which can accurately predict erosion is increasingly important.