2017/12/14 by Paul Manneville, Manneville, Paul
Earth and Planetary Sciences · Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Pattern Formation and Solitons (nlin.PS) #nlin.PS #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1712.05333
Plain LaTeX version of an article to appear in Theoretical and Applied Mechanics Letters, with supplement containing the model's full expression. (9+4 pages, no figure)
arxiv created 2017/12/14 · openalex publication_date 2017/12/14 · arxiv updated 2017/12/15 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28
Despite recent progress, laminar-turbulent coexistence in transitional planar wall-bounded shear flows is still not well understood. Contrasting with the processes by which chaotic flow inside turbulent patches is sustained at the local (minimal flow unit) scale, the mechanisms controlling the obliqueness of laminar-turbulent interfaces typically observed all along the coexistence range are still mysterious. An extension of Waleffe's approach [Phys. Fluids 9 (1997) 883--900] is used to show that, already at the local scale, drift flows breaking the problem's spanwise symmetry are generated just by slightly detuning the modes involved in the self-sustainment process. This opens perspectives for theorizing the formation of laminar-turbulent patterns.