Reduced-order Galerkin models of plane Couette flow

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 to system, suggesting that this is essential stability such models, least hand.