Boundary Velocity Control of Incompressible-Flow with an Application to Viscous Drag Reduction

Authors

Max D. GunzbergerFollow
Lisheng HouFollow
Tom Svobodny, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

1-1992

Abstract

An optimal boundary control problem for the Navier-Stokes equations is presented. The control is the velocity on the boundary, which is constrained to lie in a closed, convex subset of H^1/2 of the boundary. A necessary condition for optimality is derived. Computations are done when the control set is actually finite-dimensional, resulting in all application to viscous drag reduction.

Repository Citation

Gunzberger, M. D., Hou, L., & Svobodny, T. (1992). Boundary Velocity Control of Incompressible-Flow with an Application to Viscous Drag Reduction. SIAM Journal on Control and Optimization, 30 (1), 167-181.
https://corescholar.libraries.wright.edu/math/33

DOI

10.1137/0330011