Chapter 3 explores the use of Detached-Eddy Simulation (DES) methods for high-fidelity numerical simulations of compressor flow fields. While DES has proven effective in simpler models, applying it to compressors presents challenges such as determining appropriate grid resolution, ensuring numerical stability, and managing high computational demands due to complex geometries and turbulent flows. The chapter reviews advancements in DES applications, highlighting its advantages over traditional methods like RANS in capturing detailed flow structures and predicting performance metrics. It also addresses strategies to overcome key obstacles, including grid resolution criteria, numerical stability techniques, and efficient parallel computing approaches using OpenMP and MPI. Through verification and testing, the chapter demonstrates solutions that enhance the accuracy and efficiency of DES in simulating intricate compressor flows, thereby contributing to improved compressor design and performance.