Flow Stabilization in a 3D Channel flow

We present the results of numerical simulations for the boundary feedback stabilization of the parabolic steady state profile of the incompressible Navier-Stokes Equations in a 3D channel flow. The computation is based on a MPI code written in FORTRAN that uses a hybrid pseudospectral-finite difference discretization and fractional step technique. The decentralized, static boundary feedback control laws are derived using Lyapunov technique. While the theoretical results are limited to stability enhancement for small Reynolds numbers, the numerical results demonstrate the effectiveness of the proposed feedback law even in cases when the uncontrolled flow is turbulent