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X-WR-CALDESC:FAU DCN-AvH. Chair for Dynamics, Control, Machine Learning and Numerics -Alexander von Humboldt Professorship
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DTSTART;TZID=Europe/Berlin:20220519T103000
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SUMMARY:Optimal Control Design for Fluid Mixing: from Open-Loop to Closed-Loop
DESCRIPTION:Next Thursday, May 19, 2022 we have a talk by Weiwei Hu, visitor scientist from the University of Georgia:\nEvent: Optimal Control Design for Fluid Mixing: from Open-Loop to Closed-Loop\nOrganized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)\nSpeaker: Prof. Dr. Weiwei Hu\nAffiliation: University of Georgia (USA)\nAbstract. The question of what velocity fields effectively enhance or prevent transport and mixing, or steer a scalar field to a desired distribution, is of great interest and fundamental importance to the fluid mechanics community. In this work, we mainly discuss the problem of optimal mixing of an inhomogeneous distribution of a scalar field via active control of the flow velocity, governed by the Stokes or the Navier-Stokes equations. Specifically, we consider that the velocity field is steered by a control input which acts tangentially on the boundary of the domain through the Navier slip boundary conditions. This is motivated by mixing within a cavity or vessel by rotating or moving walls. Our main objective is to design a Navier slip boundary control for achieving optimal mixing. Non-dissipative scalars governed by the transport equation will be our main focus. In the absence of molecular diffusion, mixing is purely determined by the flow advection. This essentially leads to a nonlinear control and optimization problem. A rigorous proof of the existence of an optimal control and the first-order necessary conditions for optimality will be addressed. Moreover, feedback laws will be constructed based on the idea of instantaneous control as well as a direct approximation of the optimality system. Finally, numerical experiments will be presented to demonstrate our ideas and control designs.\nWHERE?\nFAU Department of Mathematik\nConference Room\n
URL:https://dcn.nat.fau.eu/events/optimal-control-design-for-fluid-mixing-from-open-loop-to-closed-loop/
ORGANIZER;CN=FAU DCN-AvH:MAILTO:
CATEGORIES:FAU DCN-AvH Seminar,Seminar/Talk
LOCATION:DDS
ATTACH;FMTTYPE=image/png:https://dcn.nat.fau.eu/wp-content/uploads/seminar-visitorWeiweiHu-24may2022.png
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