Selected Papers
-
S.J. Benavides and D. Barkley,
Model for transitional turbulence in a planar shear flow,
(in review, still).
-
E. Zuccoli, E.J. Brambley, and D. Barkley,
Free Surface Waves for a Lamb-Oseen Vortex Flow,
J. Fluid Mech. (to appear).
-
S.Gomé:, A. Riviere, L.S. Tuckerman, and D. Barkley,
Phase transition to turbulence via moving fronts,
Phys. Rev. Lett 132, 264002 (2024).
doi.org/10.1103/PhysRevLett.132.264002.
-
S.Gomé:, L.S. Tuckerman, and D. Barkley,
Patterns in transitional shear turbulence. Part 1. Energy transfer and mean-flow interaction,
J. Fluid Mech. 964, A16 (2023).
doi.org/10.1017/jfm.2023.288.
-
S.Gomé:, L.S. Tuckerman, and D. Barkley,
Patterns in transitional shear turbulence. Part 2. Emergence and optimal wavelength,
J. Fluid Mech. 964, A17 (2023).
doi.org/10.1017/jfm.2023.289.
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M. Avila, D. Barkley, and B. Hof
Transition to Turbulence in Pipe Flow,
Annu. Rev. Fluid Mech.
55, 575 (2023)
-
S.Gomé:, L.S. Tuckerman, and D. Barkley,
Extreme events in transitional turbulence,
Phil. Trans. R. Soc. A 380, 20210036 (2022).
https://doi.org/10.1098/rsta.2021.0036,
(C) 2022 The Author(s) Published by the Royal Society
-
D. Barkley,
A fluid mechanic's analysis of the teacup singularity,
Proc. R. Soc. A. 476, 20200348 (2020).
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S.Gomé:, L.S. Tuckerman, and D. Barkley,
Statistical transition to turbulence in plane channel flow,
Phys. Rev. Fluids 5, 083905 (2020).
doi.org/10.1103/PhysRevFluids.5.083905,
(C) 2020 American Physical Society
-
L.S. Tuckerman, M. Chantry, and D. Barkley,
Patterns in Wall-Bounded Shear Flows,
Annu. Rev. Fluid Mec. 52, 343 - 367 (2020).
(C) 2020 Annual Reviews. A copy may be obtained from Annual Reviews
here
-
D. Barkley,
Taming turbulent fronts by bending pipes,
J. Fluid Mech. 872, 1-4 (2019).
doi.org/10.1017/jfm.2019.340,
(C) 2019 Cambridge University Press.
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T. Dessup, L.S. Tuckerman, J.E. Wesfreid, D. Barkley, A.P. Willis,
Self-sustaining process in Taylor-Couette flow,
Phys. Rev. Fluids 3, 123902 (2018).
doi.org/10.1103/PhysRevFluids.3.123902,
(C) 2018 American Physical Society
-
J. Langham, H. Bense, and D. Barkley,
Modeling shape selection of buckled dielectric elastomers,
J. Appl. Phys. 123, 065102 (2018).
doi:10.1063/1.5012848,
(C) 2018 AIP Publishing.
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M. Chantry, L.S. Tuckerman and D. Barkley,
Universal continuous transition to turbulence in a planar shear flow,
J. Fluid Mech. 824, R1 (2017).
doi:10.1017/jfm.2017.405,
(C) 2017 Cambridge University Press.
-
B. Song, D. Barkley, B. Hof, and M. Avila,
Speed and structure of turbulent fronts in pipe flow,
J. Fluid Mech. 813, 1045-1059 (2017).
doi:10.1017/jfm.2017.14,
(C) 2017 Cambridge University Press.
-
D. Barkley,
Theoretical perspective on the route to turbulence in a pipe,
J. Fluid Mech. 803, P1 (2016).
doi:10.1017/jfm.2016.465,
(C) 2016 Cambridge University Press.
-
M. Chantry, L.S. Tuckerman and D. Barkley,
Turbulent-laminar patterns in shear flows without walls,
J. Fluid Mech. 791, R8 (2016).
doi:10.1017/jfm.2016.92,
(C) 2016 Cambridge University Press.
See also P. Manneville
Turbulent patterns made simple?.
-
D. Barkley, B. Song, V. Mukund, G. Lemoult, M. Avila, and B. Hof,
The rise of fully turbulent flow,
Nature 526, 550-553 (2015).
See also M.D. Graham
Fluid dynamics: Turbulence spreads like wildfire.
-
S.E. Turton, L.S. Tuckerman, and D. Barkley,
Prediction of frequencies in thermosolutal convection from mean flows,
Phys. Rev. E 91, 043009 (2015).
pdf
-
J. Langham, I.V. Biktasheva, and D. Barkley,
Asymptotic dynamics of reflecting spiral waves,
Phys. Rev. E 90, 062902 (2014).
pdf
-
J. Langham and D. Barkley,
Non-specular reflections in a macroscopic system with wave-particle duality: Spiral waves in bounded media,
Chaos 23, 013134 (2013).
pdf
-
D. Barkley,
Pipe flow as an excitable medium,
Rev. Cub. Fis. 29, 1E27 (2012).
-
D. Barkley,
Modeling turbulent pipe flow (24MB),
Slides from talk given July 19th 2011 at BIFD 2011, Barcelona.
-
D. Barkley,
Modeling the transition to turbulence in shear flows,
J. Phys.: Conf. Ser. 318, 032001 (2011).
-
D. Barkley,
Simplifying the complexity of pipe flow,
Phys. Rev. E 84, 016309 (2011).
pdf
-
K. Avila, D. Moxey, A. de Lozar, M. Avila, D. Barkley, Bjorn Hof,
The Onset of Turbulence in Pipe Flow,
Science 333, 192-196 (2011).
pdf,
SOM.
-
L. S. Tuckerman and D. Barkley
Patterns and dynamics in transitional plane Couette flow,
Phys. Fluids 23, 041301 (2011).
-
C. Marais, R. Godoy-Diana, D. Barkley, and J. E. Wesfreid,
Convective instability in inhomogeneous media: Impulse response in the
subcritical cylinder wake,
Phys. Fluids 23, 014104 (2011).
-
A.J. Foulkes, D. Barkley, V.N. Biktashev, I.V. Biktasheva,
Alternative Stable Scroll Waves
and Conversion of Autowave Turbulence,
Chaos 20, 043136 (2010).
-
C.D. Cantwell and D. Barkley,
Computational study of subcritical response in flow past a circular
cylinder,
Phys. Rev. E 82, 026315 (2010).
-
I.V. Biktasheva, D. Barkley, V.N. Biktashev, A.J. Foulkes,
Computation of the Drift Velocity
of Spiral Waves using Response Functions,
Phys. Rev. E 81, 066202 (2010).
-
D. Moxey and D. Barkley,
Distinct large-scale turbulent-laminar states in transitional pipe flow
,
PNAS 107, 8091-8096 (2010).
-
L. Bordja, L.S. Tuckerman, L. Martin Witkowski, M.C. Navarro, D. Barkley,
R. Bessiah,
Influence of counter-rotating von Karman flow on cylindrical
Rayleigh-Benard convection,
Phys. Rev. E 81, 036322 (2010).
Version corrected on page 8 to incorporate Erratum:
Phys. Rev. E 81, 069903 (2010) .
-
C.D. Cantwell, D. Barkley, H.M. Blackburn,
Transient growth analysis of flow through a sudden expansion in a circular
pipe,
Phys. Fluids 22, 034101 (2010).
-
V.N. Biktashev, D. Barkley, I.V. Biktasheva,
Orbital motion of spiral waves in excitable media,
Phys. Rev. Lett. 104, 058302 (2010).
-
I.V. Biktasheva, D. Barkley, V.N. Biktashev, G.V. Bordyugov, and A.J. Foulkes,
Computation of the response functions of spiral waves in active media,
Phys. Rev. E 79, 056702 (2009).
-
H.M. Blackburn, S.J. Sherwin, and D. Barkley,
Convective instability and transient growth in steady and pulsatile
stenotic flows,
J. Fluid Mech. 607, 267-277 (2008).
-
D. Barkley, H.M. Blackburn, and S.J. Sherwin,
Direct optimal growth analysis for timesteppers,
Int. J. Numer. Meth. Fluids 57, 1435-1458 (2008).
-
H.M. Blackburn, D. Barkley, and S.J. Sherwin,
Convective instability and transient growth in flow over a
backward-facing step,
J. Fluid Mech. 603, 271-304 (2008).
-
D. Barkley,
Barkley Model,
Scholarpedia - The free peer reviewed encyclopedia,
3(11):1877 (2008).
-
D. Barkley and L.S. Tuckerman,
Mean flow of turbulent-laminar patterns in plane Couette flow,
J. Fluid Mech. 576, 109-137 (2007).
-
D. Barkley,
Linear analysis of the cylinder wake mean flow,
Europhys. Lett. 75, 750 - 756 (2006).
- D. Barkley, I.G. Kevrekidis and A.M. Stuart,
The Moment Map: Nonlinear dynamics of density evolution via a few
moments,
SIADS 5, 403 - 434 (2006).
- P. Wheeler and D. Barkley,
Computation of Spiral Spectra,
SIADS 5, 157 - 177 (2006).
- D. Barkley and L.S. Tuckerman,
Computational study of turbulent-laminar patterns in Couette flow,
Phys. Rev. Lett. 94, 014502 (2005).
- D. Barkley,
Confined three-dimensional stability analysis of the cylinder wake,
Phys. Rev. E. 71, 017301 (2005).
- D. Barkley and L.S. Tuckerman,
Turbulent-laminar patterns in plane Couette flow,
BibTex,
Presented at: Symposium on Non-Uniqueness of Solutions to the Navier-Stokes
Equations and Their Connection with Laminar-Transition, AUG 09-11,
2004 Bristol, ENGLAND.
Citation Source: IUTAM Symposium on Laminar-Turbulent
Transition and Finite Amplitude Solutions, Book Series: FLUID
MECHANICS AND ITS APPLICATIONS, 77, 107-127 (2005)
- L.S. Tuckerman and D. Barkley,
Symmetry breaking and chaos in perturbed plane Couette flow ,
Theoretical and Computational Fluid Dynamics 16 91-97 (2002).
- D. Barkley, M.G.M. Gomes, and R.D. Henderson,
Three-dimensional instability in flow over a backward-facing step ,
J. Fluid Mech. 473, 167-190 (2002).
- D. Margerit and D. Barkley,
Cookbook asymptotics for spiral and scroll waves in excitable media ,
Chaos 12, 636-649 (2002).
- D. Margerit and D. Barkley,
Large-excitability asymptotics for scroll waves in three-dimensional
excitable media,
Phys. Rev. E 66, 036214 (2002).
- D. Margerit and D. Barkley, Selection
of twisted scroll waves in three-dimensional excitable media ,
Phys. Rev. Lett. 86, 175-178 (2001).
- R.M Mantel and D. Barkley,
Parametric forcing of scroll-wave patterns in three-dimensional
excitable media , Physica D 149, 107-122 (2001).
- G. Duckett and D. Barkley,
Modeling the dynamics of cardiac action potentials , Phys.
Rev. Lett. 85, 884-887 (2000).
- D. Barkley, L. S. Tuckerman, and M. Golubitsky,
Bifurcation theory for
three-dimensional flow in the wake of a circular cylinder ,
Phys. Rev. E 61, 5247-5252 (2000).
- L.S. Tuckerman and D. Barkley,
Bifurcation analysis for Timesteppers,
BibTex,
in Numerical
Methods for Bifurcation Problems and Large-Scale Dynamical Systems
ed. by E. Doedel and L.S. Tuckerman, IMA Volumes in Mathematics
and its Applications , vol. 119, pp. 543-466 (Springer, New York,
2000).
Presented at: Workshop on Numerical Methods for Large-Scale
Dynamical Systems, SEP 29-OCT 03, 1997 MINNEAPOLIS, MN
- D. Barkley and L.S. Tuckerman,
Stability analysis of perturbed plane Couette flow , Phys.
Fluids 11 1187-1195 (1999).
- M.Dowle, R.M. Mantel and D. Barkley,
Fast simulations of waves in three-dimensional excitable media ,
Int. J. Bif. Chaos 7(11) 2529-2546 (1997).
- D. Barkley and L.S. Tuckerman,
Stokes preconditioning for the inverse
power method,
in 15th International Conference on Numerical Methods in Fluid
Dynamics ed. by J.C. Chattot (Springer, New York, 1997).
- R.M. Mantel and D. Barkley,
Periodic forcing of spiral waves in excitable media,
Phys. Rev. E 54, 4791-4802 (1996).
- D. Barkley and R.D. Henderson,
Floquet stability analysis of the periodic wake of a circular
cylinder,
J. Fluid Mech. 322, 215-241 (1996).
- R.D. Henderson and D. Barkley,
Secondary instability in the wake of a circular cylinder ,
Phys. Fluids 8, 1683-1685 (1996).
- D. Barkley,
Spiral Meandering , in Chemical Waves and Patterns, edited by
R. Kapral and K. Showalter, (Kluwer,
1995) p. 163. This is a difficult-to-obtain
review of spiral meandering
- M.F. Schatz, D. Barkley, and H.L. Swinney,
Instabilities in spatially periodic channel flow, Phys.
Fluids 7, 344-358 (1995).
- D. Barkley and I.G. Kevrekidis,
A dynamical systems approach to spiral-wave dynamics, Chaos 4,
453-460 (1994).
- D. Barkley,
Euclidean symmetry and the dynamics of rotating spiral waves ,
Phys. Rev. Lett. 72, 164-167 (1994).
- M. Kness, L.S. Tuckerman, and D. Barkley,
Symmetry-breaking bifurcations in one-dimensional excitable media ,
Phys. Rev. A 46, 5054-5062 (1992).
- D. Barkley,
Linear stability analysis of spiral waves in excitable media ,
Phys. Rev. Lett. 68, 2090-2093 (1992).
- D. Barkley,
A model for fast computer simulation of waves in excitable media ,
Physica 49D, 61-70 (1991).
- L.S. Tuckerman and D. Barkley,
Bifurcation analysis of the Eckhaus instability ,
Physica 46D, 57-86 (1990).
- D. Barkley, Theory and predictions for
finite-amplitude waves in two-dimensional plane Poiseuille flow,
Phys. Fluids A 2, 955-970
(1990).
- D. Lindberg, J.S. Turner, and D. Barkley, Chaos in the
Showalter-Noyes-BarEli model of the Belousov-Zhabotinskii reaction,
J. Chem. Phys. 92, 3238-3239
(1990).
- D. Barkley, M. Kness, and L. S. Tuckerman,
Spiral-wave dynamics in a simple model of excitable media: The
transition
from simple to compound rotation ,
Phys. Rev. A 42, 2489-2492 (1990).
- D. Barkley and A. Cumming, Thermodynamics of the quasiperiodic
parameter set at the borderline of chaos: experimental results,
Phys. Rev. Lett. 64, 327-331
(1990).
- D. Barkley and L.S. Tuckerman, Traveling
waves in axisymmetric convection:
the role of sidewall conductivity, Physica D 37,
288-294 (1989).
- D. Barkley, Near-critical behavior for one-parameter
families of circle maps, Phys. Lett. A 129, 219-222 (1988).
- L.S. Tuckerman and D. Barkley,
Global bifurcation to travelling waves in axisymmetric convection,
Phys. Rev. Lett. 61, 408-411 (1988).
- D. Barkley, Slow manifolds and mixed-mode oscillations
in the Belousov-Zhabotinskii reaction, J. Chem. Phys. 89, 5547-5559 (1988).
- D. Barkley, J. Ringland, and J.S. Turner, Observations
of a torus in a model of the Belousov-Zhabotinskii reaction,
J. Chem. Phys. 87, 3812-3820
(1987).