- Journal Article
We derive low-dimensional, data-driven models for transitions among exact coherent states in one of the most studied canonical shear flows, the plane Couette flow. These one- or two-dimensional nonlinear models represent the leading-order reduced dynamics on attracting spectral submanifolds (SSMs), which we construct using the recently developed SSMLearn algorithm from a small number of simulated transitions. We find that the energy input and dissipation rates provide efficient parametrizations for the most important SSMs. By restricting the dynamics to these SSMs, we obtain reduced-order models that also reliably predict nearby, off-SSM transitions that were not used in their training. Show more
Journal / seriesPhysical Review Fluids
Pages / Article No.
PublisherAmerican Physical Society
SubjectFlow instability; Shear flows; Taylor-Couette system; Coherent structures; High dimensional systems
Organisational unit03973 - Haller, George / Haller, George
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