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

Frédéric Alizard (1)

1 LMFA - Laboratoire de Mecanique des Fluides et d'Acoustique

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).

Mots clés: Shear flows; Subcritical transition; Reduced order model; Edge states; Plane Couette flow; subcritical transition; reduced order model

Domaines: Mécanique des fluides [physics.class-ph]

Frédéric Alizard. Oblique and streamwise vortex paths in a plane Couette flow using a RNL system. Comptes Rendus Mécanique, In press, pp.1-10. ⟨10.5802/crmeca.55⟩. ⟨hal-03016962⟩