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Feedback control for unsteady flow and its application to the stochastic Burgers equationThe study applies mathematical methods of control theory to the problem of control of fluid flow with the long-range objective of developing effective methods for the control of turbulent flows. Model problems are employed through the formalism and language of control theory to present the procedure of how to cast the problem of controlling turbulence into a problem in optimal control theory. Methods of calculus of variations through the adjoint state and gradient algorithms are used to present a suboptimal control and feedback procedure for stationary and time-dependent problems. Two types of controls are investigated: distributed and boundary controls. Several cases of both controls are numerically simulated to investigate the performances of the control algorithm. Most cases considered show significant reductions of the costs to be minimized. The dependence of the control algorithm on the time-descretization method is discussed.
Document ID
19930071741
Document Type
Reprint (Version printed in journal)
Authors
Choi, Haecheon (NASA Ames Research Center Moffett Field, CA, United States)
Temam, Roger (NASA Ames Research Center Moffett Field, CA, United States)
Moin, Parviz (NASA Ames Research Center Moffett Field, CA, United States)
Kim, John (Stanford Univ.; NASA, Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 16, 2013
Publication Date
August 1, 1993
Publication Information
Publication: Journal of Fluid Mechanics
ISSN: 0022-1120
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-89-0411
Distribution Limits
Public
Copyright
Other