Computational Fluid Dynamics (CFD) has become an essential tool for analyzing and designing complex systems in areas such as renewable energy, transportation, and biomedicine. This progress has been enabled by advances in high-performance computing, structure-preserving numerical methods, and physics-based turbulence models. As the field is transitioning from RANS to eddy-resolving techniques, the demand for predictive simulations with fast turnaround times highlights the need to balance numerical robustness, physical fidelity, and computational efficiency. This MS, aligned with the activities of the ERCOFTAC Special Interest Group SIG55, aims to bring together researchers and end-users working in the broad area of scale-resolving CFD simulations, with particular emphasis on: -Structure-preserving discretizations with secondary conservation properties (e.g., kinetic energy, enstrophy, helicity, entropy) and physics-inspired LES models. -Robust and flexible algorithms for unstructured grid, conservative immersed-boundary methods, dissipation-free schemes and stable multiphysics coupling. -Improvement of algorithmic efficiency, with critical appraisal of low- vs. high-order schemes, low-dissipative time-integration methods and cost-effective approaches. This MS will contribute to defining a shared vision and laying the groundwork for a next-generation roadmap in CFD research and development. As a concrete outcome, it is expected to define a representative set of test cases for the numerical assessment of scale-resolving techniques.