Seminar by Francesco Ballarin

Speaker

Francesco Ballarin (Università Cattolica del Sacro Cuore)

Title

Regularized reduced order models for control of Navier-Stokes equations

Date

  • 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)

Abstract

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).

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.

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.”

Recording

Watch the recording on our YouTube channel.