Reduced-order models are derived for a simplified description of transition and turbulence in Waleffe Couette flow. Twelve nonlinear ordinary differential equations model the dynamics coherent structures fair agreement with direct numerical simulation. Compared to previous models, these low order systems display longer lifetimes lower thresholds. Two spanwise wavelengths, ${L}_{z}$ ${L}_{z}/2$,...

We propose a Proper Orthogonal Decomposition (POD)-Galerkin based Reduced Order Model (ROM) for Leray model. For the implementation of model, we combine two-step algorithm called Evolve-Filter (EF) with computationally efficient finite volume method. The main novelty proposed approach relies in applying spatial filtering both collection snapshots and reduced order as well considering pressure f...

Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal control problems. Since optimization over an time generally infeasible, MPC determines suboptimal feedback by repeatedly solving finite Although has been successfully used in many applications, applying large-scale systems – arising, e.g., through discretization of partial differential equations requ...