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### 2019

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



 

 

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



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/statistical_state_dynamics_analysis_of_buoyancy_layer_formation.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/statistical_state_dynamics_analysis_of_buoyancy_layer_formation.pdf)
 
 

F., F. B., &amp; Ioannou, P. J. (2019). [Statistical State Dynamics: A New Perspective on Turbulence in Shear Flow](/publications/statistical-state-dynamics-new-perspective-turbulence-shear-flow). *Zonal Jets Phenomenology, Genesis, and Physics.*, 380-400.



 

 

F., F. B., &amp; Ioannou, P. J. (2019). [Statistical State Dynamics: A New Perspective on Turbulence in Shear Flow](/publications/statistical-state-dynamics-new-perspective-turbulence-shear-flow). *Zonal Jets Phenomenology, Genesis, and Physics.*, 380-400.



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/zonal_jets_fi.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/zonal_jets_fi.pdf)
 
 

Farrell, B. F., &amp; Petros, J. I. (2019). [Statistical State Dynamics: A New Perspective on Turbulence in Shear Flow](/publications/statistical-state-dynamics-new-perspective-turbulence-shear-flow-1). In E. B. Galpirin &amp; P. L. Read (Eds.), *Zonal Jets Phenomenology, Genesis, and Physics* (pp. 380-400). Cambridge University Press .



 

 

Farrell, B. F., &amp; Petros, J. I. (2019). [Statistical State Dynamics: A New Perspective on Turbulence in Shear Flow](/publications/statistical-state-dynamics-new-perspective-turbulence-shear-flow-1). In E. B. Galpirin &amp; P. L. Read (Eds.), *Zonal Jets Phenomenology, Genesis, and Physics* (pp. 380-400). Cambridge University Press .



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/zonal_jets_fi_003.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/zonal_jets_fi_003.pdf)
 
 

Farrell, B. F., &amp; Ioannou, P. J. (2019). [Statistical State Dynamics: A New Perspective on Turbulence in Shear Flow](/publications/statistical-state-dynamics-new-perspective-turbulence-shear-flow-0). *Zonal Jets Phenomenology, Genesis, and Physics. Ed. Boris Galpirin and Peter L. Read. Cambridge University Press 2019.*, 380-400.



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2019). [Statistical State Dynamics: A New Perspective on Turbulence in Shear Flow](/publications/statistical-state-dynamics-new-perspective-turbulence-shear-flow-0). *Zonal Jets Phenomenology, Genesis, and Physics. Ed. Boris Galpirin and Peter L. Read. Cambridge University Press 2019.*, 380-400.



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/zonal_jets_fi_003.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/zonal_jets_fi_003.pdf)
 
 

 



### 2018

Fitzgerald, J. G., &amp; Farrell, B. F. (2018). [Statistical state dynamics of vertically sheared horizontal flows in two-dimensional Stratified turbulence.](/publications/statistical-state-dynamics-vertically-sheared-horizontal-flows-two) *Journal of Fluid Dynamics*, *854*, 544-590.



 

 

Fitzgerald, J. G., &amp; Farrell, B. F. (2018). [Statistical state dynamics of vertically sheared horizontal flows in two-dimensional Stratified turbulence.](/publications/statistical-state-dynamics-vertically-sheared-horizontal-flows-two) *Journal of Fluid Dynamics*, *854*, 544-590.



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/ssd_vshf_fitzgerald.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/ssd_vshf_fitzgerald.pdf)
 
 

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



 

 

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



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/nikolaidis_rnlmechanism-2018.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/nikolaidis_rnlmechanism-2018.pdf)
 
 

Farrell, B. F., Ioannou, P. J., &amp; Nikolaidis, M.-A. (2018). [Parametric mechanism maintaining Couette flow turbulence verified in DNS](/publications/parametric-mechanism-maintaining-couetteflow-turbulence-verified-dns). *Center for Turbulence Research Proceedings of the Summer Program 2018*, 227-236.



 

 

Farrell, B. F., Ioannou, P. J., &amp; Nikolaidis, M.-A. (2018). [Parametric mechanism maintaining Couette flow turbulence verified in DNS](/publications/parametric-mechanism-maintaining-couetteflow-turbulence-verified-dns). *Center for Turbulence Research Proceedings of the Summer Program 2018*, 227-236.



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/03_farrell.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/03_farrell.pdf)
 
 

Farrell, B. F., Ioannou, P. J., &amp; Nikolaidis, M.-A. (2018). [Statistical State Dynamics Based Study of the Role of Nonlinearity in the Maintenance of Turbulence in Couette Flow.](/publications/statistical-state-dynamics-based-study-role-nonlinearity-maintenance) *ArXiv:1808.07948v1*.



 

 

Farrell, B. F., Ioannou, P. J., &amp; Nikolaidis, M.-A. (2018). [Statistical State Dynamics Based Study of the Role of Nonlinearity in the Maintenance of Turbulence in Couette Flow.](/publications/statistical-state-dynamics-based-study-role-nonlinearity-maintenance) *ArXiv:1808.07948v1*.



 

 

 

- [ descriptionPublisher's Version](https://arxiv.org/pdf/1808.07948.pdf)
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/1808.pdf)
 
- [ descriptionPublisher's Version](https://arxiv.org/pdf/1808.07948.pdf)
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/1808.pdf)
 
 

Fitzgerald, J. G., &amp; Farrell, B. F. (2018). [Vertically Sheared Horizontal Flow-Forming Instability in Stratified Turbulence: Analytical Linear Stability Analysis of Statistical State Dynamics Equilibria.](/publications/vertically-sheared-horizontal-flow-forming-instability) *J. Atmos. Sci.*, 75, 4201-4227.



 

 

Fitzgerald, J. G., &amp; Farrell, B. F. (2018). [Vertically Sheared Horizontal Flow-Forming Instability in Stratified Turbulence: Analytical Linear Stability Analysis of Statistical State Dynamics Equilibria.](/publications/vertically-sheared-horizontal-flow-forming-instability) *J. Atmos. Sci.*, 75, 4201-4227.



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/vshf_ssd.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/vshf_ssd.pdf)
 
 

 



### 2017

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



 

 

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



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/physrevfluids_saturn_jet.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/physrevfluids_saturn_jet.pdf)
 
 

Farrell, B. F., &amp; Ioannou, P. J. (2017). [A statistical state dynamics-based analysis of the physical mechanisms sustaining and regulating turbulence in Couette ﬂow.](/publications/structure-and-mechanism-second-order-statistical-state-dynamics-model) *Phys. Rev. Fluids* , 2, 084608. (Original work published 2016)



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2017). [A statistical state dynamics-based analysis of the physical mechanisms sustaining and regulating turbulence in Couette ﬂow.](/publications/structure-and-mechanism-second-order-statistical-state-dynamics-model) *Phys. Rev. Fluids* , 2, 084608. (Original work published 2016)



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/ssd_of_couette_flow.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/ssd_of_couette_flow.pdf)
 
 

Farrell, B. F., Ioannou, P. J., &amp; Nikolaidis, M. A. (2017). [Instability of the roll-streak structure induced by background turbulence in pretransitional Couette flow.](/publications/instability-rollstreak-structure-induced-free-stream-turbulence-pre) *Phys. Rev. Fluids*, 2, 034607. (Original work published 2016)



 

 

Farrell, B. F., Ioannou, P. J., &amp; Nikolaidis, M. A. (2017). [Instability of the roll-streak structure induced by background turbulence in pretransitional Couette flow.](/publications/instability-rollstreak-structure-induced-free-stream-turbulence-pre) *Phys. Rev. Fluids*, 2, 034607. (Original work published 2016)



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/physrevfluids.2.034607.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/physrevfluids.2.034607.pdf)
 
 

 



 

 

 

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