The injection of hydrogen into natural gas distribution networks represents a viable strategy for decarbonizing the European energy sector. However, the variability of the thermophysical properties of the mixture and the fluctuations in demand require advanced tools to monitor gas quality and network integrity. Traditional fluid dynamics solvers based on differential equations, although accurate, involve high computational costs that limit their applicability for operational control. This thesis proposes an innovative computational framework applied to the real distribution network of the city of Riccione. In the first phase, a steady-state physical solver was validated in MATLAB, able to simulate multicomponent transport and track hydrogen propagation.