Nonlinear optimal control of transition due to a pair of vortical perturbations using a receding horizon approach

• Published in: Journal of fluid mechanics Vol. 861; pp. 524 - 555
• Main Authors: Xiao, Dandan, Papadakis, George
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 25.02.2019
• Subjects: Actuation; Blowing time; Boundary layer flow; Boundary layer transition; Boundary layers; Channel flow; Computational fluid dynamics; Computer applications; Control; Direction; Downstream effects; Drag reduction; Flow velocity; Friction; Horizon; Impingement; JFM Papers; Nonlinear control; Optimal control; Perturbations; Reynolds number; Shear stress; Simulation; Skin; Statistical methods; Statistics; Suction; Upstream; Velocity; Vortices; United States > US; boundary layer control; transition to turbulence

This paper considers the nonlinear optimal control of transition in a boundary layer flow subjected to a pair of free stream vortical perturbations using a receding horizon approach. The optimal control problem is solved using the Lagrange variational technique that results in a set of linearized ad...