Statistical State Dynamics

Fitzgerald, J. G., & Farrell, B. F. (2019). Statistical state dynamics analysis of buoyancy layer formation via the Phillips mechanism in two-dimensional stratified turbulence. J. Fluid Mech., 864, R3 1-15.

Fitzgerald, J. G., & Farrell, B. F. (2018). Vertically Sheared Horizontal Flow-Forming Instability in Stratified Turbulence: Analytical Linear Stability Analysis of Statistical State Dynamics Equilibria. J. Atmos. Sci., 75, 4201-4227.

Farrell, B. F., Ioannou, P. J., & Nikolaidis, M.-A. (2018). Statistical State Dynamics Based Study of the Role of Nonlinearity in the Maintenance of Turbulence in Couette Flow. ArXiv:1808.07948v1.

Farrell, B. F., Ioannou, P. J., & Nikolaidis, M.-A. (2018). Parametric mechanism maintaining Couette flow turbulence verified in DNS. Center for Turbulence Research Proceedings of the Summer Program 2018, 227-236.

Nikolaidis, M.-A., Farrell, B. F., & Ioannou, P. J. (2018). The mechanism by which nonlinearity sustains turbulence in plane Couette flow. Journal of Physics, 1001, 012014.

Fitzgerald, J. G., & Farrell, B. F. (2018). Statistical state dynamics of vertically sheared horizontal flows in two-dimensional Stratified turbulence. Journal of Fluid Dynamics, 854, 544-590.

Farrell, B., Ioannou, P. J., Jimenez, J., Constantinou, N. C., Lozano-Duran, A., & Nikolaidis, M.-A. (2016). A statistical state dynamics-based study of the structure and mechanism of large-scale motions in plane Poiseuille flow. J. Fluid Mech., 809, 290-315. (Original work published 2016)

Farrell, B. F., & Ioannou, P. J. (2017). A statistical state dynamics-based analysis of the physical mechanisms sustaining and regulating turbulence in Couette flow. Phys. Rev. Fluids , 2, 084608. (Original work published 2016)

Farrell, B. F., & Ioannou, P. J. (2017). A statistical state dynamics based theory for the formation and equilibration of Saturn’s North Polar Jet. Phys. Rev. Fluids, 2,073801. (Original work published 2016)

Farrell, B. F., Gayme, D. F., & Ioannou, P. J. (2017). A statistical state dynamics approach to wall turbulence. Phil. Trans. R. Soc. A, 375, 20160081.