The aim of this thesis is the development of an integrated model for the transport of impurities ejected from the surface of a liquid metal divertor (LMD) inside the core plasma of the European DEMO (EU-DEMO) future fusion reactor. Nuclear fusion is a promising energy production system based on the process that lights up the stars, and the great challenge is to reproduce suitable conditions for fusion reactions to occur on Earth. The magnetic confinement approach, realized in machines called Tokamaks, consists in confining the fusion fuel - a plasma heated up to ∼ 100 million Celsius degrees - through a system of magnets.