Numerical stabilization is often used to eliminate (alleviate) the spurious oscillations generally produced by full order models (FOMs) in under-resolved or marginally-resolved simulations of convection-dominated flows. In this article, we investigate the role of numerical stabilization in reduced order models (ROMs) of marginally-resolved, convection-dominated incompressible flows. Specifically, we investigate the FOM-ROM consistency, that is, whether the numerical stabilization is beneficial both at the FOM and the ROM level. As a numerical stabilization strategy, we focus on the evolve-filter-relax (EFR) regularization algorithm, which centers around spatial filtering. To investigate the FOM-ROM consistency, we consider two ROM strategies: (i) the EFR-noEFR, in which the EFR stabilization is used at the FOM level, but not at the ROM level; and (ii) the EFR-EFR, in which the EFR stabilization is used both at the FOM and at the ROM level. We compare the EFR-noEFR with the EFR-EFR in the numerical simulation of a 2D incompressible flow past a circular cylinder in the convection-dominated, marginally-resolved regime. We also perform model reduction with respect to both time and Reynolds number. Our numerical investigation shows that the EFR-EFR is more accurate than the EFR-noEFR, which suggests that FOM-ROM consistency is beneficial in convection-dominated, marginally-resolved flows.

Strazzullo, M., Girfoglio, M., Ballarin, F., Iliescu, T., Rozza, G., Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows, <<INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING>>, 2022; 123 (14): 3148-3178. [doi:10.1002/nme.6942] [https://hdl.handle.net/10807/219045]

Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows

Ballarin, Francesco;
2022

Abstract

Numerical stabilization is often used to eliminate (alleviate) the spurious oscillations generally produced by full order models (FOMs) in under-resolved or marginally-resolved simulations of convection-dominated flows. In this article, we investigate the role of numerical stabilization in reduced order models (ROMs) of marginally-resolved, convection-dominated incompressible flows. Specifically, we investigate the FOM-ROM consistency, that is, whether the numerical stabilization is beneficial both at the FOM and the ROM level. As a numerical stabilization strategy, we focus on the evolve-filter-relax (EFR) regularization algorithm, which centers around spatial filtering. To investigate the FOM-ROM consistency, we consider two ROM strategies: (i) the EFR-noEFR, in which the EFR stabilization is used at the FOM level, but not at the ROM level; and (ii) the EFR-EFR, in which the EFR stabilization is used both at the FOM and at the ROM level. We compare the EFR-noEFR with the EFR-EFR in the numerical simulation of a 2D incompressible flow past a circular cylinder in the convection-dominated, marginally-resolved regime. We also perform model reduction with respect to both time and Reynolds number. Our numerical investigation shows that the EFR-EFR is more accurate than the EFR-noEFR, which suggests that FOM-ROM consistency is beneficial in convection-dominated, marginally-resolved flows.
Inglese
Strazzullo, M., Girfoglio, M., Ballarin, F., Iliescu, T., Rozza, G., Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows, <<INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING>>, 2022; 123 (14): 3148-3178. [doi:10.1002/nme.6942] [https://hdl.handle.net/10807/219045]
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