#  Publications 

 



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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)
 
 

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

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)
 
 

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)
 
 

 



### 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)
 
 

Farrell, B. F., Gayme, D. F., &amp; Ioannou, P. J. (2017). [A statistical state dynamics approach to wall turbulence](/publications/statistical-state-dynamics-approach-wall-turbulence). *Phil. Trans. R. Soc. A*, 375, 20160081.



 

 

Farrell, B. F., Gayme, D. F., &amp; Ioannou, P. J. (2017). [A statistical state dynamics approach to wall turbulence](/publications/statistical-state-dynamics-approach-wall-turbulence). *Phil. Trans. R. Soc. A*, 375, 20160081.



 

 

 

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

 



### 2016

Farrell, B., Ioannou, P. J., Jimenez, J., Constantinou, N. C., Lozano-Duran, A., &amp; Nikolaidis, M.-A. (2016). [A statistical state dynamics-based study of the structure and mechanism of large-scale motions in plane Poiseuille ﬂow](/publications/statistical-state-dynamics-based-study-structure-and-mechanism-large-0). *J. Fluid Mech.*, *809*, 290-315. (Original work published 2016)



 

 

Farrell, B., Ioannou, P. J., Jimenez, J., Constantinou, N. C., Lozano-Duran, A., &amp; Nikolaidis, M.-A. (2016). [A statistical state dynamics-based study of the structure and mechanism of large-scale motions in plane Poiseuille ﬂow](/publications/statistical-state-dynamics-based-study-structure-and-mechanism-large-0). *J. Fluid Mech.*, *809*, 290-315. (Original work published 2016)



 

 

 

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

Nikolaidis, Farrell, B. F., Ioannou, P. J., Gayme, D. F., Lozano-Duran, A., &amp; Jimenez, J. (2016). [A POD-based analysis of turbulence in the reduced nonlinear dynamics system](/publications/pod-based-analysis-turbulence-reduced-nonlinear-dynamics-system). *Journal of Physics: Conference Series*, *708*(1), 012002.



 

 

Nikolaidis, Farrell, B. F., Ioannou, P. J., Gayme, D. F., Lozano-Duran, A., &amp; Jimenez, J. (2016). [A POD-based analysis of turbulence in the reduced nonlinear dynamics system](/publications/pod-based-analysis-turbulence-reduced-nonlinear-dynamics-system). *Journal of Physics: Conference Series*, *708*(1), 012002.



 

 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/jpcs_708_1_012002.pdf)
 
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/jpcs_708_1_012002.pdf)
 
 

Constantinou, N. C., Farrell, B. F., &amp; Ioannou, P. J. (2016). [Statistical state dynamics of jet/wave coexistence in beta-plane turbulence](/publications/statistical-state-dynamics-jetwave-coexistence-beta-plane-turbulence-2). *J. Atmos. Sci.*, *73*(1), 2229-2253.



 

 

Constantinou, N. C., Farrell, B. F., &amp; Ioannou, P. J. (2016). [Statistical state dynamics of jet/wave coexistence in beta-plane turbulence](/publications/statistical-state-dynamics-jetwave-coexistence-beta-plane-turbulence-2). *J. Atmos. Sci.*, *73*(1), 2229-2253.



 

 

 

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

 



### 2015

Thomas, V. L., Farrell, B. F., Ioannou, P. J., &amp; Gayme, D. F. (2015). [A Minimal Model of Self-Sustaining Turbulence](/publications/minimal-model-self-sustaining-turbulence). *Physics of Fluids*, *27*, 105104.



 

 

Thomas, V. L., Farrell, B. F., Ioannou, P. J., &amp; Gayme, D. F. (2015). [A Minimal Model of Self-Sustaining Turbulence](/publications/minimal-model-self-sustaining-turbulence). *Physics of Fluids*, *27*, 105104.



 

 

 

- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/a_minimal_model_self_sustaining_turbulence_0.pdf)
 
- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/a_minimal_model_self_sustaining_turbulence_0.pdf)
 
 

Farrell, B. F., Ioannou, P. J., Jimenez, J., Constantinou, N. C., Lozano-Duran, A., &amp; Nikolaidis, M. A. (2015). [Structure and mechanism of turbulence under dynamical restriction in plane Poiseuille flow](/publications/structure-and-mechanism-turbulence-under-dynamical-restriction-plane-1). *ArXiv,1512.06018v1*.



 

 

Farrell, B. F., Ioannou, P. J., Jimenez, J., Constantinou, N. C., Lozano-Duran, A., &amp; Nikolaidis, M. A. (2015). [Structure and mechanism of turbulence under dynamical restriction in plane Poiseuille flow](/publications/structure-and-mechanism-turbulence-under-dynamical-restriction-plane-1). *ArXiv,1512.06018v1*.



 

 

 

- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/1512.06018v1_01.pdf)
 
- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/1512.06018v1_01.pdf)
 
 

 



### 2014

Constantinou, N. C., Farrell, B. F., &amp; Ioannou, P. J. (2014). [Emergence and equilibration of jets in beta-plane turbulence](/publications/emergence-and-equilibration-jets-beta-plane-turbulence). *J. Atmos. Sci.*, *71*(5), 1818-1842.



 

 

Constantinou, N. C., Farrell, B. F., &amp; Ioannou, P. J. (2014). [Emergence and equilibration of jets in beta-plane turbulence](/publications/emergence-and-equilibration-jets-beta-plane-turbulence). *J. Atmos. Sci.*, *71*(5), 1818-1842.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/jas-d-13-0762e1.pdf)
 
Stochastic structural stability theory (S3T) provides analytical methods for understanding the emergence and equilibration of jets from the turbulence in planetary atmospheres based on the dynamics of the statistical mean state of the turbulence closed at...



 

 

- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/jas-d-13-0762e1.pdf)
 
 

Feliks, Y., Tziperman, E., &amp; B. Farrell. (2014). [Non normal growth of Kelvin-Helmholtz eddies in a sea breeze.](/publications/non-normal-growth-kelvin-helmholtz-eddies-sea-breeze%C2%A0-submitted) *Q. J. R. Meteorol. Soc.*, *140*, 2147-2157.



 

 

Feliks, Y., Tziperman, E., &amp; B. Farrell. (2014). [Non normal growth of Kelvin-Helmholtz eddies in a sea breeze.](/publications/non-normal-growth-kelvin-helmholtz-eddies-sea-breeze%C2%A0-submitted) *Q. J. R. Meteorol. Soc.*, *140*, 2147-2157.



 

 

 

- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/f52cd1e3-832b-4a7e-94f1-4e8b014eff42.pdf)
 
- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/f52cd1e3-832b-4a7e-94f1-4e8b014eff42.pdf)
 
 

Fitzgerald, J. G., &amp; Farrell, B. F. (2014). [Mechanisms of mean flow formation and suppression in two-dimensional Rayleigh-Bénard convection](/publications/mechanisms-mean-flow-formation-and-suppression-two-dimensional%C2%A0rayleigh). *Physics of Fluids*, *26*, 054104.



 

 

Fitzgerald, J. G., &amp; Farrell, B. F. (2014). [Mechanisms of mean flow formation and suppression in two-dimensional Rayleigh-Bénard convection](/publications/mechanisms-mean-flow-formation-and-suppression-two-dimensional%C2%A0rayleigh). *Physics of Fluids*, *26*, 054104.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/1.4875814.pdf)
 
Two-dimensional laminar roll convection is capable of generating energetic horizontal  
mean flows via a well-understood process known as the tilting instability. Less wellunderstood  
is the physical mechanism behind the strong dependence of this effect  
on the...



 

 

- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/1.4875814.pdf)
 
 

Thomas, V. L., Lieu, B. K., Jovanovi´c, M. R., Farrell, B. F., Ioannou, P. J., &amp; Gayme, D. F. (2014). [Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow](/publications/self-sustaining-turbulence-restricted-nonlinear-model-plane-couette). *Physics of Fluids*, *26*, 105112.



 

 

Thomas, V. L., Lieu, B. K., Jovanovi´c, M. R., Farrell, B. F., Ioannou, P. J., &amp; Gayme, D. F. (2014). [Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow](/publications/self-sustaining-turbulence-restricted-nonlinear-model-plane-couette). *Physics of Fluids*, *26*, 105112.



 

 

 

- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/self-sustaining_turbulence_in_a_restricted_nonlinear_model_of_plane_couette_flow.pdf)
 
- [ picture\_as\_pdfpdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/self-sustaining_turbulence_in_a_restricted_nonlinear_model_of_plane_couette_flow.pdf)
 
 

 



 

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