Reduced-order models for plane Couette flow are obtained by Galerkin projection of the Navier-Stokes equations onto leading controllability modes linearized system. Nonlinear dynamical systems so constructed, with various degrees truncation, numerically stable and reproduce statistics minimal turbulent at Reynolds numbers 500 1200 different choices modal bases. A closure model was not included ...

Abstract The use of reduced‐order models (ROMs) in physics‐based modeling and simulation almost always involves the linear reduced basis (RB) methods such as proper orthogonal decomposition (POD). For some nonlinear problems, RB perform poorly, failing to provide an efficient subspace for solution space. manifolds ROMs has gained traction recent years, showing increased performance certain prob...