Regularized Reduced Order Models for Turbulent Channel Flow

Ping-Hsuan Tsai

Abstract

Regularized reduced order models (Reg-ROMs) are stabilization strategies that leverage spatial filtering to alleviate the spurious numerical oscillations generally displayed by the classical Galerkin ROM (G-ROM) in under-resolved numerical simulations of turbulent flows. In this talk, we present three Reg-ROMs, that is, the Leray ROM (L-ROM), the evolve-filter-relax ROM (EFR-ROM), and a new Reg-ROM, the time-relaxation ROM (TR-ROM). For turbulent channel flows, we demonstrate that the TR-ROM is the most accurate model among the three to capture the Reynolds shear stress and turbulence spectrum. In addition, we demonstrate the Reg-ROM’s predictive capabilities through the sensitivity study of the optimal parameters.