Adaptive reduced-order controllers for a thermal flow system using proper orthogonal decomposition (Q2780610)

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scientific article; zbMATH DE number 1729221
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Adaptive reduced-order controllers for a thermal flow system using proper orthogonal decomposition
scientific article; zbMATH DE number 1729221

    Statements

    15 April 2002
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    reduced-order adaptive control
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    proper orthogonal decomposition
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    temperature control
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    optimal basic functions
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    Galerkin projection
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    minimization of vorticity
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    Navier-Stokes equations
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    quadratic programming method
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    channel flows
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    Adaptive reduced-order controllers for a thermal flow system using proper orthogonal decomposition (English)
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    The author considers the flow control problem. A method to obtain a reducer-order model is given by using an optimal set of basic functions associated with Galerkin projection. An initial set of data, obtained from numerical simulations, is updated during the optimization process. No convergence proof is given. A minimization of vorticity for Navier-Stokes equations is performed using the boundary temperature as control mechanism. The sequential quadratic programming method and quadratic programming method are used. Interesting numerical results are presented in the last part for channel flows.
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