This seminar will focus on the numerical simulation of the turbulent flow past bluff bodies which is of importance due to its presence in many engineering applications (flows past an airplane, submarine, automobile, in turbomachines, etc.). The numerical simulation of turbulent flows is a powerful tool for investigating and understanding the turbulence phenomena, and sheds light on the physics of turbulent flows with massive separation. The advances in computational fluid dynamics (CFD) together with the increasing capacity of parallel computers have made possible to tackle such complex problems by using high performance numerical techniques such as direct numerical simulation (DNS) and large eddy simulation (LES). Examples of these DNSs like the flow over a circular cylinder and spheres at subcritical Reynolds numbers, DNSs of the flow past a NACA0012 airfoil at Reynolds numbers Re = 50000 at different angles of attack, high-fidelity LES of drag crisis in circular cylinders, among others high performance simulations are going to be presented. These activities form part of a comprehensive long-term research line focused on drag reduction, flow control and loads alleviation with application to the aeronautic and mechanical engineering industries. Contributions from these studies have helped in the understanding of the complex physics of these flows and have paved the way to continue research focused on the roughness effects on these bodies.