2013/04/30 by Simon Maretzke, Björn Hof, Marc Avila · 2 citations
Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Computation #Computer science #Couette flow #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Instability #Laminar flow #Linear stability #Mathematics #Mechanics #Physics #Plant Water Relations and Carbon Dynamics #Reynolds number #Scaling #Shear flow #Statistical physics #Taylor–Couette flow #Thermodynamics #Transient (computer programming) #Tree-ring climate responses #Turbulence #Work (physics) #physics.flu-dyn
paper · pdf · doi:10.1017/jfm.2014.12
published as Journal of Fluid Mechanics / Volume 742 / March 2014, pp 254-290 · Published version: Revised according to JFM referee comments, incorporating various small corrections and clarifications compared to previous submissions
openalex publication_date 2014/02/21 · arxiv created 2014/03/05 · arxiv updated 2014/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Non-normal transient growth of disturbances is considered as an essential prerequisite for subcritical transition in shear flows, i.e. transition to turbulence despite linear stability of the laminar flow. In this work we present numerical and analytical computations of linear transient growth covering all linearly stable regimes of Taylor–Couette flow. Our numerical experiments reveal comparable energy amplifications in the different regimes. For high shear Reynolds numbers scaling of optimal energy growth using Wentzel–Kramers–Brillouin theory. Based on this, a semi-empirical formula for the estimation of linear transient growth valid in all regimes is obtained.