Reduced Basis Method for Flow Control
نویسندگان
چکیده
This article presents a reduced order method for simulation and control of uid ows. The major advantage of this method over others such as nite element, nite diierence or spectral method is that it has fewer degrees of freedom. The present methodology's feasibility for ow control is demonstrated on two boundary control problems. The rst one is a velocity tracking problem in cavity ow and the second one is a vorticity control problem in channel ow. We cast the control problems as constrained minimization problem and compute the control by applying Newton like methods to the necessary conditions of optimality. Our computational experiments seem to indicate the proposed reduced order model's promise.
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