.Context And MissionCurrently, a new paradigm for aircraft propulsion towards decarbonization is shifting the interest to technologies based on H2 combustion due to the lack of carbon atoms present in the fuel and the potential to reduce greenhouse emissions from the engine. However, the use of H2 in practical applications demands dedicated investigation on flame dynamics and thermoacoustics. Modelling H2 combustion remains a challenging task due to its unique properties and the tightly coupled interaction between turbulence and combustion. The need for more fuel-efficient systems with lower greenhouse gas emissions keeps driving the development of models and High-Performance Computing (HPC) tools with better predicting capabilities for H2 flames.High-order methods offer enhanced accuracy and reduced computational cost compared to traditional low-order methods, while HPC and GPU acceleration provide significant computational power, enabling the simulation of complex combustion scenarios. The proposed research project aims to investigate the combustion characteristics of hydrogen, a promising alternative fuel for a sustainable future, by employing high-order methods and leveraging the power of HPC architectures, specifically Graphics Processing Units (GPUs).This PhD project will focus on the development and application of high-order numerical methods using HPC and GPUs for simulating hydrogen combustion. The applicant is expected to work on the optimization of an in-house compressible solver and to extend the capability of the CFD solver with multicomponent transport and combustion models based on finite rate chemistry. Research activities will be carried out in the framework of a EU project seeking to improve the fidelity of H2 flame simulations for aeronautical injectors. The applicant will join the Propulsion Technologies Group (PTG), a research group from the Computer Applications in Science and Engineering (CASE) Department at the Barcelona Supercomputing Center.As part of the PTG, the applicant will form part of a multidisciplinary team of researchers with a strong background in Computational Fluid Dynamics (CFD) applied to high-fidelity simulations for the development of clean propulsion and power generation systems. The PTG is actively involved in several European research-oriented and industrial projects for which results are disseminated in highly ranked scientific journals and conferences.Key DutiesDeveloping advanced numerical methods for reacting flows using spectral elements.Investigating the fundamental combustion characteristics of hydrogen, including ignition, flame propagation, and extinction phenomena, using high-order numerical methods.Developing and optimizing computational algorithms specifically tailored for GPU architectures, enabling efficient utilization of HPC resources for large-scale hydrogen combustion simulations