CFC2023

Full and Reduced Evolve-Filter-Relax regularization in feedback control for convection-dominated Navier-Stokes equations

  • Strazzullo, Maria (DISMA, Politecnico di Torino)
  • Girfoglio, Michele (SISSA mathLab)
  • Ballarin, Francesco (Department of Mathematics and Physics, Universit√† Cattolica del Sacro Cuore)
  • Iliescu, Traian (Department of Mathematics, Virginia Tech)
  • Rozza, Gianluigi (SISSA, mathLab)

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This contribution investigates whether the evolve-filter-relax (EFR) numerical stabilization is needed both at the FOM and the ROM level for marginally-resolved simulations of convection-dominated incompressible flows. Indeed, there are two different ROM strategies: (i) the EFR-noEFR, in which the EFR stabilization is used at the FOM level and not at the ROM level. (ii) The EFR-EFR, in which the EFR stabilization is used both at the FOM and at the ROM level. The experiments suggest that FOM-ROM consistency is beneficial for model reduction with respect to both time and Reynolds number.