Finite volume calculations of self-sustained oscillations in a grooved channel (Q2365904)

A numerical simulation of unsteady incompressible Navier-Stokes flow in a periodically grooved channel is performed for Reynolds numbers \(R\sim O(10^ 3)\). The numerical scheme is based on finite difference approximation with an explicit quadratic Leith-type of temporal discretization. Periodic self-sustained oscillatory flow is reported to occur in the investigated flow configuration, indicating a Hopf bifurcation. The threshold for the onset of self-sustained flow oscillations is the critical Reynolds number \(950<R_ c<1050\).