Phase-based control of periodic flows

Fluid flows play a central role in scientific and technological development, many of these are characterized by dominant oscillation, such as the vortex shedding wake nearly all transportation vehicles. The ability to control is critical improve aerodynamic performance unsteady fluid flow systems. This goal requires precise characterization how perturbations affect long-time phase oscillatory flow, well transient behaviors. In this work, we develop an energy-efficient strategy rapidly alter oscillation time-periodic flows, leveraging theory developed for periodic biological First, perform phase-sensitivity analysis construct reduced-order model response impulsive inputs at various phases. Next, introduce two strategies real-time based on function: 1) optimal control, obtained solving Euler-Lagrange equations two-point boundary value problem, 2) model-predictive (MPC). Our approach demonstrated systems, incompressible laminar past circular cylinder airfoil. We show that effective may be achieved with several actuation strategies, including blowing rotary control. Moreover, our uses realistic measurements lift force body, rather than requiring high-dimensional full field.