This open-access book reports on both experimental and numerical findings from the H2020-funded project TEAMAero (Towards Effective Flow Control and Mitigation of Shock Effects in Aeronautical Applications). It covers novel contributions on improving the fundamental understanding of the physics of shock wave boundary layer interaction, developments in flow control for mitigation of shock effects, and advanced numerical methods for predicting those effects. All in all, this book offers a timely snapshot of research and developments in numerical methods for flow analysis and control, with a special emphasis on high-speed flows. It offers extensive information to both researchers and professionals.