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On its way to turbulence, plane Couette flow - the flow betweencounter-translating parallel plates - displays a puzzling steady obliquelaminar-turbulent pattern. We approach this problem via Galerkin modelling ofthe Navier-Stokes equations. The wall-normal dependence of the hydrodynamicfield is treated by means of expansions on functional bases fitting theboundary conditions exactly. This yields a set of partial differentialequations for the spatiotemporal dynamics in the plane of the flow. Truncatingthis set beyond lowest nontrivial order is numerically shown to produce theexpected pattern, therefore improving over what was obtained at crudereffective wall-normal resolution. Perspectives opened by the approach arediscussed.

Laminar-turbulent patterning in wall-bounded shear flows: a Galerkin model