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### 2019

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)
 
 

 



### 2016

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)
 
 

 



### 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)
 
 

 



### 2012

Farrell, B. F., &amp; Ioannou, P. J. (2012). [Dynamics of streamwise rolls and streaks in wall-bounded shear flow](/publications/dynamics-streamwise-rolls-and-streaks-wall-bounded-shear-flow). *J. Fluid Mech.*, *708*, 149-196.



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2012). [Dynamics of streamwise rolls and streaks in wall-bounded shear flow](/publications/dynamics-streamwise-rolls-and-streaks-wall-bounded-shear-flow). *J. Fluid Mech.*, *708*, 149-196.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/streaks_paper_0.pdf)
 
Streamwise rolls and accompanying streamwise streaks are ubiquitous in wall-bounded shear ﬂows, both in natural settings, such as the atmospheric boundary layer, as well as in controlled settings, such as laboratory experiments and numerical simulations...



 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/streaks_paper_0.pdf)
 
 

 



### 2009

Farrell, B. F., &amp; Ioannou, P. J. (2009). [A Theory of Baroclinic Turbulence](/publications/theory-baroclinic-turbulence). *J. Atmos. Sci.*, *66*, 2445-2454.



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2009). [A Theory of Baroclinic Turbulence](/publications/theory-baroclinic-turbulence). *J. Atmos. Sci.*, *66*, 2445-2454.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/ssst_baroclinic_turbulence_200908_0.pdf)
 
Understanding the physical mechanism maintaining fluid turbulence remains a fundamental theoretical problem. The two-layer model is an analytically and computationally simple system in which the dynamics of turbulence can be conveniently studied; in this...



 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/ssst_baroclinic_turbulence_200908_0.pdf)
 
 

Farrell, B. F., &amp; Ioannou, P. J. (2009). [Emergence of Jets from Turbulence in the Shallow-Water Equations on an Equatorial Beta-plane](/publications/emergence-jets-turbulence-shallow-water-equations-equatorial-beta-plane). *J. Atmos. Sci.*, *66*, 3197-3207.



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2009). [Emergence of Jets from Turbulence in the Shallow-Water Equations on an Equatorial Beta-plane](/publications/emergence-jets-turbulence-shallow-water-equations-equatorial-beta-plane). *J. Atmos. Sci.*, *66*, 3197-3207.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/structural_stability_equatorial_jets_0.pdf)
 
Coherent jets, such as the Jovian banded winds, are prominent feature of rotating turbulence. Shallow water turbulence models capture the essential mechanism of jet formation, which is systematic eddy momentum flux directed up the mean velocity gradient...



 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/structural_stability_equatorial_jets_0.pdf)
 
 

Farrell, B. F., &amp; Ioannou, P. J. (2009). [A Stochastic Structural Stability Theory model of the drift wave-zonal flow system](/publications/stochastic-structural-stability-theory-model-drift-wave-zonal-flow-0). *Physics of Plasmas*, *16*, 112903.



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2009). [A Stochastic Structural Stability Theory model of the drift wave-zonal flow system](/publications/stochastic-structural-stability-theory-model-drift-wave-zonal-flow-0). *Physics of Plasmas*, *16*, 112903.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/drift_wave_0.pdf)
 
A remarkable phenomenon in turbulent ﬂows is the spontaneous emergence of coherent large spatial scale zonal jets. In this work a comprehensive theory for the interaction of jets with turbulence, stochastic structural stability theory, is applied to the...



 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/drift_wave_0.pdf)
 
 

 



### 2008

Farrell, &amp; Ioannou. (2008). [The Stochastic Parametric Mechanism for Growth of Wind-Driven Surface Water Waves](/publications/stochastic-parametric-mechanism-growth-wind-driven-surface-water-waves). *J. Phys. Ocean*, *38*, 862-879.



 

 

Farrell, &amp; Ioannou. (2008). [The Stochastic Parametric Mechanism for Growth of Wind-Driven Surface Water Waves](/publications/stochastic-parametric-mechanism-growth-wind-driven-surface-water-waves). *J. Phys. Ocean*, *38*, 862-879.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/water_waves_genstab_0.pdf)
 
Theoretical understanding of the growth of wind-driven surface water waves has been based on two distinct mechanisms: growth due to random atmospheric pressure fluctuations unrelated to wave amplitude and growth due to wave coherent atmospheric pressure...



 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/water_waves_genstab_0.pdf)
 
 

Farrell, B. F., &amp; Ioannou, P. J. (2008). *[Formation of Jets by Baroclinic Turbulence](/publications/formation-jets-baroclinic-turbulence-0)* (65th eds., pp. 3353-3375). J. Atmos. Sci.



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2008). *[Formation of Jets by Baroclinic Turbulence](/publications/formation-jets-baroclinic-turbulence-0)* (65th eds., pp. 3353-3375). J. Atmos. Sci.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/structural_stability_baroclinic_jets_0.pdf)
 
Turbulent fluids are frequently observed to spontaneously self-organize into large spatial-scale jets; geophysical examples of this phenomenon include the Jovian banded winds and the earth’s polar-front jet. These relatively steady large-scale jets arise...



 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/structural_stability_baroclinic_jets_0.pdf)
 
 

 



### 2007

Heifetz, &amp; Farrell. (2007). [Generalized Stability of Non-Geostophic Shear Flow. Part II: Intermediate Richardson Number Regime](/publications/generalized-stability-non-geostophic-shear-flow-part-ii-intermediate). *J. Atmos. Sci.*, *64*, 4366–4382.



 

 

Heifetz, &amp; Farrell. (2007). [Generalized Stability of Non-Geostophic Shear Flow. Part II: Intermediate Richardson Number Regime](/publications/generalized-stability-non-geostophic-shear-flow-part-ii-intermediate). *J. Atmos. Sci.*, *64*, 4366–4382.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/nongeostrophic_ii.pdf)
 
This work continues the generalized stability theory (GST) analysis of baroclinic shear flow in the primitive equations (PE), focusing on the regime in which the mean baroclinic shear and the stratification are of the same order. The Eady...



 

 

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

Farrell, B. F., &amp; Ioannou, P. J. (2007). [Structure and Spacing of Jets in Barotropic Turbulence](/publications/structure-and-spacing-jets-barotropic-turbulence). *J. Atmos. Sci.*, *64*, 3652-3665.



 

 

Farrell, B. F., &amp; Ioannou, P. J. (2007). [Structure and Spacing of Jets in Barotropic Turbulence](/publications/structure-and-spacing-jets-barotropic-turbulence). *J. Atmos. Sci.*, *64*, 3652-3665.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/structure_and_spacing.pdf)
 
Turbulent flows are often observed to be organized into large-spatial-scale jets such as the familiar zonal jets in the upper levels of the Jovian atmosphere. These relatively steady large-scale jets are not forced coherently but are maintained by the...



 

 

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

 



### 2006

Farrell, &amp; Ioannou. (2006). *[Approximating Optimal State Estimation., Predictability of Weather and Climate](/publications/approximating-optimal-state-estimation-predictability-weather-and)* (Palmer &amp; Hagedorn, Eds.; pp. 181-216). Cambridge University Press, Cambridge.



 

 

Farrell, &amp; Ioannou. (2006). *[Approximating Optimal State Estimation., Predictability of Weather and Climate](/publications/approximating-optimal-state-estimation-predictability-weather-and)* (Palmer &amp; Hagedorn, Eds.; pp. 181-216). Cambridge University Press, Cambridge.



 

 

 

- add\_circle\_outline do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/chapter_8_approximating_optimal_state_estimation.pdf)
 
Minimising forecast error requires accurately specifying the initial state from which the forecast is made by optimally using available observing resources to obtain the most accurate possible analysis. The Kalman filter accomplishes this for linear sys...



 

 

- [ picture\_as\_pdf.pdf](/sites/g/files/omnuum10491/files/brian_f_farrell/files/chapter_8_approximating_optimal_state_estimation.pdf)
 
 

 



 

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