Papers

(Due to the shut down of Warwick unix servers, some of links below to pdf files do not work. I will fix this when I get a chance.)

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. 997, A40 (2024) doi.org/10.1017/jfm.2024.645Link opens in a new window
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.
M. Avila, D. Barkley, and B. HofTransition 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. A380, 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).
S.Gomé:, L.S. Tuckerman, and D. Barkley,Statistical transition to turbulence in plane channel flow, Phys. Rev. Fluids5, 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 Reviewshere
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.
T. Dessup, L.S. Tuckerman, J.E. Wesfreid, D. Barkley, A.P. Willis,Self-sustaining process in Taylor-Couette flow, Phys. Rev. Fluids3, 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.
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. MannevilleTurbulent 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. GrahamFluid 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. BarkleyPatterns 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. Fluids22, 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 flowLink opens in a new window, 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 stepLink opens in a new window, J. Fluid Mech. 473, 167-190 (2002).
D. Margerit and D. Barkley, Cookbook asymptotics for spiral and scroll waves in excitable mediaLink opens in a new window, Chaos 12, 636-649 (2002).
D. Margerit and D. Barkley, Large-excitability asymptotics for scroll waves in three-dimensional excitable media,Link opens in a new window Phys. Rev. E 66, 036214 (2002).
D. Margerit and D. Barkley, Selection of twisted scroll waves in three-dimensional excitable mediaLink opens in a new window, Phys. Rev. Lett. 86, 175-178 (2001).
R.M Mantel and D. Barkley, Parametric forcing of scroll-wave patterns in three-dimensional excitable mediaLink opens in a new window, 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 cylinderLink opens in a new window, Phys. Rev. E 61, 5247-5252 (2000).
L.S. Tuckerman and D. Barkley, Bifurcation analysis for Timesteppers,BibTex, inNumerical Methods for Bifurcation Problems and Large-Scale Dynamical Systemsed. 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 flowLink opens in a new window, Phys. Fluids 111187-1195 (1999).
M.Dowle, R.M. Mantel and D. Barkley, Fast simulations of waves in three-dimensional excitable mediaLink opens in a new window, Int. J. Bif. Chaos 7, 2529-2546 (1997).
D. Barkley and L.S. Tuckerman, Stokes preconditioning for the inverse power method,in15th International Conference on Numerical Methods in Fluid Dynamicsed. by J.C. Chattot (Springer, New York, 1997).
R.M. Mantel and D. Barkley, Periodic forcing of spiral waves in excitable mediaLink opens in a new window, Phys. Rev. E 54, 4791-4802 (1996).
D. Barkley and R.D. Henderson, Floquet stability analysis of the periodic wake of a circular cylinderLink opens in a new window, J. Fluid Mech. 322, 215-241 (1996).
R.D. Henderson and D. Barkley, Secondary instability in the wake of a circular cylinderLink opens in a new window, Phys. Fluids 8, 1683-1685 (1996).
D. Barkley, Spiral MeanderingLink opens in a new window, 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 flowLink opens in a new window, Phys. Fluids 7, 344-358 (1995).
D. Barkley and I.G. Kevrekidis, A dynamical systems approach to spiral-wave dynamicsLink opens in a new window, Chaos 4, 453-460 (1994).
D. Barkley, Euclidean symmetry and the dynamics of rotating spiral wavesLink opens in a new window, Phys. Rev. Lett. 72,164-167 (1994).
M. Kness, L.S. Tuckerman, and D. Barkley, Symmetry-breaking bifurcations in one-dimensional excitable mediaLink opens in a new window, Phys. Rev. A 46, 5054-5062 (1992).
D. Barkley, Linear stability analysis of spiral waves in excitable mediaLink opens in a new window, Phys. Rev. Lett. 68, 2090-2093 (1992).
D. Barkley, A model for fast computer simulation of waves in excitable mediaLink opens in a new window, Physica 49D, 61-70 (1991).
L.S. Tuckerman and D. Barkley, Bifurcation analysis of the Eckhaus instabilityLink opens in a new window, Physica 46D, 57-86 (1990).
D. Barkley, Theory and predictions for finite-amplitude waves in two-dimensional plane Poiseuille flowLink opens in a new window, 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 reactionLink opens in a new window, 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 rotationLink opens in a new window, Phys. Rev. A 42, 2489-2492 (1990).
D. Barkley and A. Cumming, Thermodynamics of the quasiperiodic parameter set at the borderline of chaos: experimental resultsLink opens in a new window, Phys. Rev. Lett. 64, 327-331 (1990).
D. Barkley and L.S. Tuckerman, Traveling waves in axisymmetric convection: the role of sidewall conductivityLink opens in a new window, Physica D 37, 288-294 (1989).
D. Barkley, Near-critical behavior for one-parameter families of circle mapsLink opens in a new window, Phys. Lett. A 129, 219-222 (1988).
L.S. Tuckerman and D. Barkley, Global bifurcation to travelling waves in axisymmetric convectionLink opens in a new window, Phys. Rev. Lett. 61, 408-411 (1988).
D. Barkley, Slow manifolds and mixed-mode oscillations in the Belousov-Zhabotinskii reactionLink opens in a new window, 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 reactionLink opens in a new window, J. Chem. Phys. 87, 3812-3820 (1987).