Steady solutions of the Navier-Stokes equations by selective frequency damping

Authors: Åkervik, E.Å., Brandt, L.B., Henningson, D.S.H., Hoepffner, J.P.J., Marxen, O., Schlatter, P.
Document Type: Article
Pubstate: Published
Journal: Phys. Fluids
Volume: 18   068102
Year: 2006


A new method, enabling the computation of steady solutions of the Navier-Stokes equations in globally unstable configurations, is presented. We show that it is possible to reach a steady state by damping the unstable frequencies. This is achieved by adding a dissipative relaxation term proportional to the high-frequency content of the velocity fluctuations. Results are presented for boundary-layer cavity-driven separation and a separation bubble induced by an external pressure gradient.