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Seminar by Francesco Ballarin
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    :bdg-primary-line:`Speaker`

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        Francesco Ballarin (Università Cattolica del Sacro Cuore)

    :bdg-primary-line:`Title`

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        Regularized reduced order models for control of Navier-Stokes equations

    :bdg-primary-line:`Date`

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        * January 30, 2024 16:00 CET+0100 (Europe/Rome)
        * January 30, 2024 10:00 EST-0500 (US/Eastern)
        * January 30, 2024 09:00 CST-0600 (US/Central)
        * January 30, 2024 07:00 PST-0800 (US/Pacific)

    :bdg-primary-line:`Abstract`

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        Numerical stabilization is often used to alleviate the spurious
        oscillations generally produced by full order models (FOMs) in
        under-resolved or marginally-resolved simulations of
        convection-dominated flows modelled by the incompressible Navier-Stokes
        equations. However, when dealing with reduced order models (ROMs) of
        convection-dominated, marginally-resolved flows, the role of numerical
        stabilization is still not well understood. Further challanges arise
        when interested not only in the simulation of the flow itself, but also
        on its control, for instance to achieve a desired target configuration.
        
        The presentation will be divided in two parts, which discuss two
        different regularization techniques. In the first part of the talk,
        based on (Strazzullo et al. 2023), we present an evolve-filter-relax
        regularized ROM and apply it to a feedback control problem. In the
        second part of the presentation we establish a novel regularized ROM,
        based on approximate deconvolution and introduced in (Sanfilippo et al.
        2023).
        
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              :name: ref-SanfilippoMooreBallarinIliescu2023
        
              Sanfilippo, Anna, Ian Moore, Francesco Ballarin, and Traian
              Iliescu. 2023. “Approximate Deconvolution Leray Reduced Order
              Model for Convection-Dominated Flows.” *Finite Elements in
              Analysis and Design* 226: 104021.
        
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              :name: ref-StrazzulloBallarinIliescuCanuto2023
        
              Strazzullo, Maria, Francesco Ballarin, Traian Iliescu, and Claudio
              Canuto. 2023. “New Feedback Control and Adaptive
              Evolve-Filter-Relax Regularization for the Navier-Stokes Equations
              in the Convection-Dominated Regime.”

    :bdg-primary-line:`Recording`

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        Watch the recording on `our YouTube channel <https://www.youtube.com/watch?v=jxUlF1Ezelo>`_.