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Reduced-order representations of an ensemble of cylinder wake transients areinvestigated. Locally linear embedding identifies a two-dimensional manifoldwith a maximum error of 1% from new snapshot data. This representationoutperforms a 50-dimensional POD expansion from the same data and is notobtainable with cluster-based coarse graining of similar order. This manifoldresolves the steady solution, the stability eigenmodes, the firstpost-transient POD modes, the intermediate vortex shedding structure as well ashigher harmonics. The snapshot data are generated by a direct numericalsimulation of the two-dimensional wake behind a circular cylinder at a Reynoldsnumber of 100. The initial conditions of the 16 transients start near thesteady solution and converge to the period vortex shedding. Many oscillatoryflows can be expected to be characterized on two- or low-dimensional manifoldsidentifiable with locally linear embedding. These manifolds have unexploredpotential for prediction, estimation and control.

Locally linear embedding for transient cylinder wakes