71 citations · 130 across the 14 of their papers we have counts for
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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…
Statistical state dynamics based study of turbulent Eady fronts. Part 2. Finite amplitude equilibria
Eojin Kim, Brian F. Farrell
Streamwise roll circulations commonly observed in frontal regions are primary agents of momentum and tracer transport in the planetary boundary layer (PBL) both in the atmosphere a…
Statistical State Dynamics based study of turbulence in Eady fronts. Part 1. Instability
Eojin Kim, Brian F. Farrell
The streamwise roll and streak structure (RSS) is prominent in observations of the planetary boundary layer in the atmosphere and ocean and in unstratified wall-bounded shear flows…
Fluctuation covariance-based study of roll-streak dynamics in Poiseuille flow turbulence
Marios-Andreas Nikolaidis, Petros J. Ioannou, Brian F. Farrell
Although the roll-streak (R-S) is fundamentally involved in the dynamics of wall-turbulence, the physical mechanism responsible for its formation and maintenance remains controvers…
Statistical state dynamics-based study of the stability of the mean statistical state of wall-bounded turbulence
Brian F. Farrell, Petros J. Ioannou
Turbulence in wall-bounded flows is characterized by stable statistics. Although, in many turbulent systems, this stable statistical state corresponds to a stable fixed point of an…
POD-based study of turbulent plane Poiseuille flow: comparing structure and dynamics between quasi-linear simulations and DNS
Marios-Andreas Nikolaidis, Petros J. Ioannou, Brian F. Farrell +1
Turbulence in the restricted nonlinear (RNL) dynamics is analyzed and compared with DNS of Poiseuille turbulence at . The structures are obtained by POD analysis of the two…
The mechanism by which nonlinearity sustains turbulence in plane Couette flow
Marios-Andreas Nikolaidis, Brian F. Farrell, Petros J. Ioannou
Turbulence in wall-bounded shear flow results from a synergistic interaction between linear non-normality and nonlinearity in which non-normal growth of a subset of perturbations c…
A statistical state dynamics approach to wall-turbulence
Brian F. Farrell, Dennice F. Gayme, Petros J. Ioannou
This paper reviews results from the study of wall-bounded turbulent flows using statistical state dynamics (SSD) that demonstrate the benefits of adopting this perspective for unde…
Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow
Vaughan L. Thomas, Binh K. Lieu, Mihailo R. Jovanović +3
This paper demonstrates the maintenance of self-sustaining turbulence in a restricted nonlinear (RNL) model of plane Couette flow. The RNL system is derived directly from the Navie…
Turbulence in the highly restricted dynamics of a closure at second order: comparison with DNS
Navid C. Constantinou, Adrian Lozano-Durán, Marios-Andreas Nikolaidis +3
S3T (Stochastic Structural Stability Theory) employs a closure at second order to obtain the dynamics of the statistical mean turbulent state. When S3T is implemented as a coupled…