The current proposal is in relation to the medium compute proposal titled "Wave emergence in turbulent Taylor–Couette flow with free-surface" with project number SNIC 2022/5-288.
The project is concerned with the emergence of coherent structures at large spatial scales, in particular, gravity waves in turbulent Taylor-Couette flow with free-surface. This phenomenon was reported and studied experimentally (Mujica and Lathrop, J.Fluid Mech. 551:49-62, 2006, Martinez-Mercado et al, New J.Phys. 17(1):013039, 2015), but its physical origin is unknown. The current project aims at studying this flow via the stability and amplification properties of the mean flow. This type of analysis has previously been performed for other turbulent flows, and has been fairly successful in explaining some aspects of turbulent spectra and coherent structures through the linear amplification properties of the mean flow. This has also been used in quasi-linear models to explain some of the frequency selection mechanisms and large scale structures. The project will utilize these methodologies for studying the emergence of these gravity waves in turbulent Taylor-Couette flow.