With the global energy transition underway, hydrogen is emerging as a promising alternative fuel for a wide range of combustion applications due to its carbon-free combustion. In the context of gas turbine combustion, this thesis investigates the high-fidelity simulation of a prototype Dry Low Emissions (DLE) hydrogen burner with a Micromix combustor design and Jet-in-Crossflow (JICF) injection. The study began with a comprehensive review of hydrogen combustion technologies and of the emissions advantages and challenges of this element, focusing, in particular, on NOₓ formation. A CFD-based numerical model of a single burner unit was developed in ANSYS Fluent, examining various turbulence and combustion models including RANS, URANS, LES, and hybrid RANS/LES for turbulence, EDM, ED-FR and EDC for combustion, as well as detailed and reduced chemical kinetics.