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Turbulent-laminar intermittency, typically in the form of bands and spots, isa ubiquitous feature of the route to turbulence in wall-bounded shear flows.Here we study the idealised shear between stress-free boundaries driven by asinusoidal body force and demonstrate quantitative agreement between turbulencein this flow and that found in the interior of plane Couette flow -- the regionexcluding the boundary layers. Exploiting the absence of boundary layers, weconstruct a model flow that uses only four Fourier modes in the shear directionand yet robustly captures the range of spatiotemporal phenomena observed intransition, from spot growth to turbulent bands and uniform turbulence. Themodel substantially reduces the cost of simulating intermittent turbulentstructures while maintaining the essential physics and a direct connection tothe Navier-Stokes equations.  We demonstrate the generic nature of this process by introducing stress-freeequivalent flows for plane Poiseuille and pipe flows which again capture theturbulent-laminar structures seen in transition.

Turbulent-laminar patterns in shear flows without walls