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Transition from steady state to intermittent chaos in the cubical lid-drivenflow is investigated numerically. Fully three-dimensional stability analyseshave revealed that the flow experiences an Andronov-Poincar\'e-Hopf bifurcationat a critical Reynolds number $Re_c$ = 1914. As for the 2D-periodic lid-drivencavity flows, the unstable mode originates from a centrifugal instability ofthe primary vortex core. A Reynolds-Orr analysis reveals that the unstableperturbation relies on a combination of the lift-up and anti lift-up mechanismsto extract its energy from the base flow. Once linearly unstable, directnumerical simulations show that the flow is driven toward a primary limit cyclebefore eventually exhibiting intermittent chaotic dynamics. Though only oneeigenpair of the linearized Navier-Stokes operator is unstable, the dynamicsduring the intermittencies are surprisingly well characterized by one of thestable eigenpairs.

Intermittency and transition to chaos in the cubical lid-driven cavity flow