Chorin Projection Reduced Order Model for Control of Navier-Stokes Equations
S. S. Ravindran · 2025
This paper presents an efficient Chorin-projection reduced order model based on proper orthogonal decomposition (POD-ROM) for control of Navier-Stokes equations modeling viscous incompressible flows. The proposed POD-ROM is a velocity-pressure reduced-order model but decouples the computation of reduced-order velocity and pressure. Furthermore, it does not require satisfaction of the so-called inf-sup condition for mixed POD subspaces with the help of in-built pressure stabilization provided by the projection method without adding extra stabilization terms. We derive error estimates for the state, adjoint and control variables. Numerical studies are performed to discuss the accuracy and performance of the new Chorin-projection reduced order model in the simulation of control of flow past a backward-facing step channel.