8 papers
Statistical State Dynamics Eigenmodes and Equilibria support Couette Turbulence
Brian F. Farrell, Petros J. Ioannou
Wide-channel Couette (WCC) turbulence consists primarily of quasi-steady roll-streak structures (RSS) maintained by a self-sustaining process (SSP), yet the Navier-Stokes equations…
Statistical State Dynamics of Large-Scale Structure Formation in Shallow Water Magnetohydrodynamic Turbulence
Eojin Kim, Brian F. Farrell
Zonal jets (ZJ) are prominent coherent structures that spontaneously emerge from the background turbulent state in both stellar and planetary atmospheres. Although formation and ma…
Statistical State Dynamics Based Study of the Turbulent Ekman Layer
Eojin Kim, Brian F. Farrell
Streamwise roll and streak structures (RSS) are prominent features observed in both atmospheric and oceanic planetary boundary layers (PBL) as well as in laboratory scale Wall boun…
Statistical state dynamics modes and equilibria underlie the structure and mechanism of wide channel Couette turbulence
Brian F. Farrell, Petros J. Ioannou
Wide channel Couette (WCC) turbulence is striking in being dominated by a large-scale spanwise periodic structure composed of streamwise streaks and associated roll superstructures…
Statistical State Dynamics of Couette MHD Turbulence
Eojin Kim, Brian F. Farrell
The roll streak structure (RSS) is ubiquitous in shear flow turbulence and is fundamental to the dynamics of the self-sustaining process (SSP) maintaining the turbulent state. The…
Statistical State Dynamics based study of Langmuir Turbulence
Eojin Kim, Brian F. Farrell
The dynamics of the ocean mixed layer is of central importance in determining the fluxes of momentum, heat, gases, and particulates between the ocean and the atmosphere. A prominen…