Interplay between advective, diffusive and active barriers in (rotating) Rayleigh-Benard flow

Open access
Datum
2023-08-25Typ
- Journal Article
Abstract
Our understanding of the material organization of complex fluid flows has benefited recently from mathematical developments in the theory of objective coherent structures. These methods have provided a wealth of approaches that identify transport barriers in three-dimensional (3-D) turbulent flows. Specifically, theoretical advances have been incorporated into numerical algorithms that extract the most influential advective, diffusive and active barriers to transport from data sets in a frame-indifferent fashion. To date, however, there has been very limited investigation into these objectively defined transport barriers in 3-D unsteady flows with complicated spatiotemporal dynamics. Similarly, no systematic comparison of advective, diffusive and active barriers has been carried out in a 3-D flow with both thermally driven and mechanically modified structures. In our study, we utilize simulations of turbulent rotating Rayleigh-B & eacute;nard convection to uncover the interplay between advective transport barriers (Lagrangian coherent structures), material barriers to diffusive heat transport, and objective Eulerian barriers to momentum transport. For a range of (inverse) Rossby numbers, we identify each type of barrier and find intriguing relationships between momentum and heat transport that can be related to changes in the relative influence of mechanical and thermal forces. Further connections between bulk behaviours and structure-specific behaviours are also developed. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000629483Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Journal of Fluid MechanicsBand
Seiten / Artikelnummer
Verlag
Cambridge University PressThema
Benard convection; pattern formation; chaotic advectionOrganisationseinheit
03973 - Haller, George / Haller, George