Oblique and streamwise vortex paths in a plane Couette flow using a RNL system

Abstract

This paper revisits oblique wave and streamwise vortex scenarios in a plane Couette flow using restricted nonlinear simulations, where only a single Fourier mode for perturbation is retained. It is shown that this restriction of full dynamics gives a good approximation of the two subcritical paths. In particular, critical energy thresholds and edge states compare favorably with results obtained using direct numerical simulations by Duguet et al. (Phys. Rev. E 82 (2010), 026316).

Keywords

• Shear flows
• Subcritical transition
• Reduced order model
• Edge states
• Plane Couette flow