Linearly forced fluid flow on a rotating sphere
Name
1912.02131.pdf
Description
Accepted version
Size
3.22 MB
Format
Adobe PDF
Checksum (MD5)
3e256345cde9211463ac171a5bd0cf58
Author(s)
Supekar, Rohit
Heinonen, Vili
Burns, Keaton J
Dunkel, Jörn
Date Issued
2020
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Version
Author's final manuscript
Abstract
© The Author(s), 2020. Published by Cambridge University Press. We investigate generalized Navier-Stokes (GNS) equations that couple nonlinear advection with a generic linear instability. This analytically tractable minimal model for fluid flows driven by internal active stresses has recently been shown to permit exact solutions on a stationary two-dimensional sphere. Here, we extend the analysis to linearly driven flows on rotating spheres. We derive exact solutions of the GNS equations corresponding to time-independent zonal jets and superposed westward-propagating Rossby waves, qualitatively similar to those seen in planetary atmospheres. Direct numerical simulations with large rotation rates obtain statistically stationary states close to these exact solutions. The measured phase speeds of waves in the GNS simulations agree with analytical predictions for Rossby waves.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1017/JFM.2020.205
