Bio


Beverley McKeon is Professor of Mechanical Engineering at Stanford University. Previously she was the Theodore von Karman Professor of Aeronautics at the Graduate Aerospace Laboratories at Caltech (GALCIT) and a former Deputy Chair of the Division of Engineering and Applied Science. She received M.A. and M.Eng. degrees from the University of Cambridge and a Ph.D. in Mechanical and Aerospace Engineering from Princeton University. Her research interests include interdisciplinary approaches to manipulation of boundary layer flows using morphing surfaces, fundamental experimental investigations of wall turbulence at high Reynolds number, the development of resolvent analysis for modeling turbulent flows, and assimilation of experimental data for efficient low-order flow modeling. McKeon was the recipient of a Vannevar Bush Faculty Fellowship from the DoD in 2017, a Presidential Early Career Award (PECASE) in 2009 and an NSF CAREER Award in 2008, and is a Fellow of the APS and AIAA. She currently serves as co-Lead Editor of Phys. Rev. Fluids and on the editorial board of the Annual Review of Fluid Mechanics, and is past Editor-in-Chief of Experimental Thermal and Fluid Science. She is the Past Chair of the US National Committee on Theoretical and Applied Mechanics and the APS representative.

Academic Appointments


Administrative Appointments


  • Past Chair, US National Committee on Theoretical and Applied Mechanics (USNC/TAM) (2022 - 2024)
  • Chair, US National Committee on Theoretical and Applied Mechanics (USNC/TAM) (2020 - 2022)
  • Deputy Chair, Division of Engineering and Applied Science, Caltech (2020 - 2022)
  • Member, U.S. Delegation, International Union on Theoretical and Applied Mechanics (2019 - Present)
  • Vice Chair, US National Committee on Theoretical and Applied Mechanics (USNC/TAM) (2018 - 2020)
  • Lead, Aerospace Mentoring Program (AMP), Caltech (2016 - 2022)
  • Member-At-Large, Executive Committee of the Division of Fluid Dynamics, American Physical Society (2013 - 2015)
  • Associate Director, Graduate Aerospace Laboratories, Caltech (2012 - 2017)
  • Member, Fluid Dynamics Technical Committee, American Institute of Aeronautics and Astronautics (2008 - 2014)

Honors & Awards


  • Fellow, American Institute of Aeronautics and Astronautics (2020)
  • Northrop Grumman Prize for Excellence in Teaching, Caltech, E&AS Division (2018)
  • Graduate Student Excellence in Mentoring Award, Caltech (2017)
  • Vannevar Bush Faculty Fellow, U.S. Department of Defense (2017)
  • Fellow, American Physical Society (2016)
  • Fred Shair Program Diversity Award, Caltech (2016)
  • Associate Fellow, American Institute of Aeronautics and Astronautics (2014)
  • Presidential Early Career Award for Scientists and Engineers, (PECASE) (2009)
  • NSF CAREER Award, National Science Foundation (2008)
  • Dorothy Hodgkin Fellowship, Royal Society (2004-2006)
  • Amelia Earhart Fellow, Zonta International (1999-2001)
  • Fulbright Scholar, Fulbright Program (1997-1998)
  • Guggenheim Fellow, Princeton University (1997-1998)
  • Scholar, Corpus Christi College, Cambridge (1996)

Boards, Advisory Committees, Professional Organizations


  • Member, Nominating Committee, American Physical Society (2023 - Present)
  • Lead Editor, Physical Review Fluids (2021 - Present)
  • Co-Chair (Physical Sciences), NAS Decadal Survey on Biological and Physical Sciences Research in Space, 2023-2032 (2021 - 2023)
  • Chair, Visiting Committee, Dept. of Mechanical Engineering, Johns Hopkins University (2021 - 2021)
  • Member, Diversity Working Group, International Union on Theoretical and Applied Mechanics (2021 - 2021)
  • Member, International Visiting Committee, Dept. of Engineering, University of Cambridge (2020 - Present)
  • Member, Fluid Dynamics Prize Committee, American Physical Society (2020 - 2022)
  • Member, Visiting Committee, Dept. of Aerospace and Mechanical Engineering, University of Notre Dame (2019 - 2019)
  • Member, Executive Committee, Symposia on Turbulence and Shear Flow Phenomena (2018 - Present)
  • Associate Editor, Physical Review Fluids (2018 - 2020)
  • Member, Division of Fluid Dynamics Fellowship COmmittee, American Physical Society (2018 - 2020)
  • Member, Visiting Committee, School of Aeronautics and Astronautics, Purdue University (2018 - 2018)
  • Member, Visiting Committee, Dept. of Aerospace Engineering, Texas A&M University (2018 - 2018)
  • Member, Advisory Board, Annual Review of Fluid Mechanics (2016 - Present)
  • Member, Advisory Board, Physical Review Fluids (2016 - 2017)
  • Member, Editorial Advisory Board, AIAA Journal (2015 - 2021)
  • Editor-in-Chief, Experimental Thermal and Fluid Science (2015 - 2018)
  • Member, External Affairs Committee (Chair 2015), American Physical Society (2014 - 2016)
  • Member, Editorial Advisory Board, Physics of Fluids (2014 - 2015)
  • Member, Editorial Advisory Board, Experiments in Fluids (2013 - 2021)
  • Editor, Experimental Thermal and Fluids Science (2012 - 2015)
  • Chair, Fluids Dynamics Award Committee, American Institute of Aeronautics and Astronautics (2011 - 2013)
  • Member, Division of Fluid Dynamics Program Committee, American Physical Society (2008 - 2011)

Professional Education


  • Ph.D., Princeton University, Mechanical and Aerospace Engineering (2003)
  • M.A., Princeton University, Mechanical and Aerospace Engineering (1999)
  • M.A., University of Cambridge, Engineering (1999)
  • M. Eng., University of Cambridge, Fluid Mechanics, with Distinction (1995)
  • B.A. (Hons), University of Cambridge, Engineering (1995)

2024-25 Courses


Stanford Advisees


All Publications


  • Spectral location for the universal scaling regime in Martian atmospheric turbulence. Communications earth & environment Coimbra, M. C., de la Torre Juárez, M., McKeon, B. J., Marín, M., Murdoch, N., Navarro, S., Rodríguez-Manfredi, J. A., Stott, A. 2024; 5 (1): 597

    Abstract

    Atmospheric turbulence, irregular fluctuations of the fluid state, is studied on Mars. Universality of the turbulence spectrum underpins atmospheric models where computational requirements preclude full fidelity simulations of the smallest scales. However, there are discrepancies among reports on the existence and spectral location of universal scaling in Martian atmospheric data. Here, results indicate the smallest resolvable structures from Martian wind speed data are still associated with the energetic regime, which may ultimately explain why multiple reports have not found a consistent Kolmogorov-like spectral regime on Mars. Universal spectral scaling of wind data from Perseverance's Mars Environmental Dynamics Analyzer is used to estimate the thresholds that separate three turbulence regimes: energetic, inertial, and molecular dissipation. Wind measurements at 2-Hz, the fastest sampling rate for direct wind sensor measurements on Mars, resolves turbulence in the energetic regime and approaches the inertial regime, which is consistent with reported Martian dust devil sizes.

    View details for DOI 10.1038/s43247-024-01752-6

    View details for PubMedID 39430423

    View details for PubMedCentralID PMC11485230

  • Lagrangian gradient regression for the detection of coherent structures from sparse trajectory data. Royal Society open science Harms, T. D., Brunton, S. L., McKeon, B. J. 2024; 11 (10): 240586

    Abstract

    Complex flows are often characterized using the theory of Lagrangian coherent structures (LCS), which leverages the motion of flow-embedded tracers to highlight features of interest. LCS are commonly employed to study fluid mechanical systems where flow tracers are readily observed, but they are broadly applicable to dynamical systems in general. A prevailing class of LCS analyses depends on reliable computation of flow gradients. The finite-time Lyapunov exponent (FTLE), for example, is derived from the Jacobian of the flow map, and the Lagrangian-averaged vorticity deviation (LAVD) relies on velocity gradients. Observational tracer data, however, are typically sparse (e.g. drifters in the ocean), making accurate computation of gradients difficult. While a variety of methods have been developed to address tracer sparsity, they do not provide the same information about the flow as gradient-based approaches. This work proposes a purely Lagrangian method, based on the data-driven machinery of regression, for computing instantaneous and finite-time flow gradients from sparse trajectories. The tool is demonstrated on a common analytical benchmark to provide intuition and demonstrate performance. The method is seen to effectively estimate gradients using data with sparsity representative of observable systems.

    View details for DOI 10.1098/rsos.240586

    View details for PubMedID 39493296

    View details for PubMedCentralID PMC11529625

  • Challenges and perspective on the modelling of high-Re, incompressible, non-equilibrium, rough-wall boundary layers JOURNAL OF TURBULENCE Garcia-Mayoral, R., Chung, D., Durbin, P., Hutchins, N., Knopp, T., McKeon, B. J., Piomelli, U., Sandberg, R. D. 2024
  • Effects of roughness on non-equilibrium turbulent boundary layers JOURNAL OF TURBULENCE Volino, R. J., Fritsch, D., Devenport, W. J., Eca, L., Garcia-Mayoral, R., Mckeon, B., Piomelli, U., Chung, D., Vishwanathan, V., Kerkvliet, M., Toxopeus, S., Hutchins, N. 2024
  • A resolvent analysis of the effect of passive perforated surfaces on wall-bounded turbulence INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW Jafari, A., Mckeon, B. J., Cazzolato, B. C., Arjomandi, M. 2024; 106
  • Linear Amplification of Large Scale Structures in Adverse Pressure Gradient Turbulent Boundary Layers Through Resolvent Analysis Gomez, S. R., McKeon, B. J., Orlu, R., Talamelli, A., Peinke, J., Oberlack, M. SPRINGER INTERNATIONAL PUBLISHING AG. 2024: 27-33
  • Interpolatory input and output projections for flow control JOURNAL OF FLUID MECHANICS Herrmann, B., Baddoo, P. J., Dawson, S. M., Semaan, R., Brunton, S. L., McKeon, B. J. 2023; 971
  • The transformative potential of machine learning for experiments in fluid mechanics NATURE REVIEWS PHYSICS Vinuesa, R., Brunton, S. L., McKeon, B. J. 2023
  • Towards real-time reconstruction of velocity fluctuations in turbulent channel flow PHYSICAL REVIEW FLUIDS Arun, R., Bae, H., McKeon, B. J. 2023; 8 (6)
  • Physics-informed dynamic mode decomposition PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Baddoo, P. J., Herrmann, B., McKeon, B. J., Kutz, J., Brunton, S. L. 2023; 479 (2271)
  • Frequency-tuned surfaces for passive control of wall-bounded turbulent flow - a resolvent analysis study JOURNAL OF FLUID MECHANICS Jafari, A., McKeon, B. J., Arjomandi, M. 2023; 959
  • Spatiotemporal characteristics of uniform momentum zones: Experiments and modeling PHYSICAL REVIEW FLUIDS Laskari, A., de Silva, C. M., Hutchins, N., McKeon, B. J. 2022; 7 (10)
  • Kernel learning for robust dynamic mode decomposition: linear and nonlinear disambiguation optimization. Proceedings. Mathematical, physical, and engineering sciences Baddoo, P. J., Herrmann, B., McKeon, B. J., Brunton, S. L. 2022; 478 (2260): 20210830

    Abstract

    Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modelling high-dimensional systems from data. However, the quality of the linear DMD model is known to be fragile with respect to strong nonlinearity, which contaminates the model estimate. By contrast, sparse identification of nonlinear dynamics learns fully nonlinear models, disambiguating the linear and nonlinear effects, but is restricted to low-dimensional systems. In this work, we present a kernel method that learns interpretable data-driven models for high-dimensional, nonlinear systems. Our method performs kernel regression on a sparse dictionary of samples that appreciably contribute to the dynamics. We show that this kernel method efficiently handles high-dimensional data and is flexible enough to incorporate partial knowledge of system physics. It is possible to recover the linear model contribution with this approach, thus separating the effects of the implicitly defined nonlinear terms. We demonstrate our approach on data from a range of nonlinear ordinary and partial differential equations. This framework can be used for many practical engineering tasks such as model order reduction, diagnostics, prediction, control and discovery of governing laws.

    View details for DOI 10.1098/rspa.2021.0830

    View details for PubMedID 35450026

    View details for PubMedCentralID PMC9006118

  • Variational formulation of resolvent analysis PHYSICAL REVIEW FLUIDS Barthel, B., Gomez, S., McKeon, B. J. 2022; 7 (1)
  • Amplitude and wall-normal distance variation of small scales in turbulent boundary layers PHYSICAL REVIEW FLUIDS Saxton-Fox, T., Lozano-Duran, A., McKeon, B. J. 2022; 7 (1)
  • Editorial: The 2021 Francois Naftali Frenkiel Award for Fluid Mechanics PHYSICAL REVIEW FLUIDS Lauga, E., McKeon, B. 2022; 7 (1)
  • Editorial: Five Years of Physical Review Fluids PHYSICAL REVIEW FLUIDS Lauga, E., McKeon, B., Rubin, B., Boffetta, G., Brenner, M., Cottin-Bizonne, C., Danaila, L., Hadjiconstantinou, N., He, G., Koumoutsakos, P., Lele, S., Meiburg, E., Quere, D., Schmid, P., Shaqfeh, E., Snoeijer, J., Stone, H., Sutherland, B., Villermaux, E., Zenit, R. 2021; 6 (12)
  • Tollmien-Schlichting route to elastoinertial turbulence in channel flow PHYSICAL REVIEW FLUIDS Shekar, A., McMullen, R. M., McKeon, B. J., Graham, M. D. 2021; 6 (9)
  • Resolvent analysis of stratification effects on wall-bounded shear flows PHYSICAL REVIEW FLUIDS Ahmed, M. A., Bae, H. J., Thompson, A. F., McKeon, B. J. 2021; 6 (8)
  • Closing the loop: nonlinear Taylor vortex flow through the lens of resolvent analysis JOURNAL OF FLUID MECHANICS Barthel, B., Zhu, X., McKeon, B. 2021; 924
  • Unsteady dynamics in the streamwise-oscillating cylinder wake for forcing frequencies below lock-on PHYSICAL REVIEW FLUIDS Shamai, M., Dawson, S. M., Mezic, I., McKeon, B. J. 2021; 6 (7)
  • Data-driven resolvent analysis JOURNAL OF FLUID MECHANICS Herrmann, B., Baddoo, P. J., Semaan, R., Brunton, S. L., McKeon, B. J. 2021; 918
  • Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing FLUIDS Huynh, D. P., Huang, Y., McKeon, B. J. 2021; 6 (5)
  • Editorial: On Transition (in Physical Review Fluids leadership) PHYSICAL REVIEW FLUIDS McKeon, B., Lauga, E. 2021; 6 (4)
  • Nonlinear mechanism of the self-sustaining process in the buffer and logarithmic layer of wall-bounded flows JOURNAL OF FLUID MECHANICS Bae, H., Lozano-Duran, A., McKeon, B. J. 2021; 914
  • Interactions between scales in wall turbulence: phase relationships, amplitude modulation and the importance of critical layers JOURNAL OF FLUID MECHANICS Jacobi, I., Chung, D., Duvvuri, S., McKeon, B. J. 2021; 914
  • Temporal characteristics of the probability density function of velocity in wall-bounded turbulent flows JOURNAL OF FLUID MECHANICS Laskari, A., McKeon, B. J. 2021; 913
  • Control of instability by injection rate oscillations in a radial Hele-Shaw cell PHYSICAL REVIEW FLUIDS Arun, R., Dawson, S. M., Schmid, P. J., Laskari, A., McKeon, B. J. 2020; 5 (12)
  • A basis for flow modelling JOURNAL OF FLUID MECHANICS McKeon, B. J. 2020; 904
  • Modal Analysis of Fluid Flows: An Overview (Oct, 10.2514/1.J056060, 2017) AIAA JOURNAL Taira, K., Brunton, S. L., Dawson, S. M., Rowley, C. W., Colonius, T., McKeon, B. J., Schmidt, O. T., Gordeyev, S., Theofilis, V., Ukeiley, L. S. 2020; 58 (11): AU9
  • Prediction of resolvent mode shapes in supersonic turbulent boundary layers INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW Dawson, S. M., McKeon, B. J. 2020; 85
  • On the origin of drag increase in varying-phase opposition control INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW Toedtli, S., Yu, C., McKeon, B. 2020; 85
  • Self-sustained elastoinertial Tollmien-Schlichting waves JOURNAL OF FLUID MECHANICS Shekar, A., McMullen, R. M., McKeon, B. J., Graham, M. D. 2020; 897
  • Interaction of forced Orr-Sommerfeld and Squire modes in a low-order representation of turbulent channel flow PHYSICAL REVIEW FLUIDS McMullen, R. M., Rosenberg, K., McKeon, B. J. 2020; 5 (8)
  • Measurements of a turbulent boundary layer-compliant surface system in response to targeted, dynamic roughness forcing EXPERIMENTS IN FLUIDS Huynh, D., McKeon, B. 2020; 61 (4)
  • Characterization of the Spatio-Temporal Response of a Turbulent Boundary Layer to Dynamic Roughness FLOW TURBULENCE AND COMBUSTION Huynh, D., McKeon, B. 2020; 104 (2-3): 293-316
  • Spatial organisation of velocity structures for large passive scalar gradients JOURNAL OF FLUID MECHANICS Laskari, A., Saxton-Fox, T., McKeon, B. J. 2020; 885
  • Mean and Unsteady Flow Reconstruction Using Data-Assimilation and Resolvent Analysis AIAA JOURNAL Symon, S., Sipp, D., Schmid, P. J., McKeon, B. J. 2020; 58 (2): 575-588

    View details for DOI 10.2514/1.J057889

    View details for Web of Science ID 000513533200006

  • Resolvent-based study of compressibility effects on supersonic turbulent boundary layers JOURNAL OF FLUID MECHANICS Bae, H., Dawson, S. M., McKeon, B. J. 2020; 883
  • A tale of two airfoils: resolvent-based modelling of an oscillator versus an amplifier from an experimental mean JOURNAL OF FLUID MECHANICS Symon, S., Sipp, D., McKeon, B. J. 2019; 881: 51-83
  • On the shape of resolvent modes in wall-bounded turbulence JOURNAL OF FLUID MECHANICS Dawson, S. M., McKeon, B. J. 2019; 877: 682-716
  • Turbulence Amplitude Amplification in an Externally Forced, Subsonic Turbulent Boundary Layer Ranade, P., Duvvuri, S., McKeon, B., Gordeyev, S., Christensen, K., Jumper, E. J. AMER INST AERONAUTICS ASTRONAUTICS. 2019: 3838-3850

    View details for DOI 10.2514/1.J057871

    View details for Web of Science ID 000503281600018

  • Self-similar hierarchies and attached eddies PHYSICAL REVIEW FLUIDS McKeon, B. J. 2019; 4 (8)
  • Computing exact coherent states in channels starting from the laminar profile: A resolvent-based approach. Physical review. E Rosenberg, K., McKeon, B. J. 2019; 100 (2-1): 021101

    Abstract

    We present an iterative method to compute traveling wave exact coherent states (ECS) in Couette and Poiseuille flows starting from an initial laminar profile. The approach utilizes the resolvent operator for a two-dimensional, three-component streamwise-averaged mean and exploits the underlying physics of the self-sustaining process. A singular value decomposition of the resolvent operator is used to obtain the mode shape for a single streamwise-varying Fourier mode. The self-interaction of the single mode is computed and used to generate an updated mean velocity input to the resolvent operator. The process is repeated until a nearly neutrally stable mean flow that self-sustains is obtained, as defined by suitable convergence criteria; the results are further verified with direct numerical simulation. The approach requires the specification of only two unknown parameters: the wave speed and amplitude of the mode. It is demonstrated that within as few as three iterations, the initial one-dimensional laminar field can be transformed into three-dimensional ECS.

    View details for DOI 10.1103/PhysRevE.100.021101

    View details for PubMedID 31574600

  • Predicting the response of turbulent channel flow to varying-phase opposition control: Resolvent analysis as a tool for flow control design PHYSICAL REVIEW FLUIDS Toedtli, S. S., Luhar, M., McKeon, B. J. 2019; 4 (7)
  • Effect of Coherent Structures on Aero-Optic Distortion in a Turbulent Boundary Layer AIAA JOURNAL Saxton-Fox, T., McKeon, B. J., Gordeyev, S. 2019; 57 (7): 2828-2839

    View details for DOI 10.2514/1.J058088

    View details for Web of Science ID 000488793600016

  • Role of parasitic modes in nonlinear closure via the resolvent feedback loop PHYSICAL REVIEW FLUIDS Rosenberg, K., Symon, S., McKeon, B. J. 2019; 4 (5)
  • Critical-Layer Structures and Mechanisms in Elastoinertial Turbulence. Physical review letters Shekar, A., McMullen, R. M., Wang, S. N., McKeon, B. J., Graham, M. D. 2019; 122 (12): 124503

    Abstract

    Simulations of elastoinertial turbulence (EIT) of a polymer solution at low Reynolds number are shown to display localized polymer stretch fluctuations. These are very similar to structures arising from linear stability (Tollmien-Schlichting modes) and resolvent analyses, i.e., critical-layer structures localized where the mean fluid velocity equals the wave speed. Computations of self-sustained nonlinear Tollmien-Schlichting waves reveal that the critical layer exhibits stagnation points that generate sheets of large polymer stretch. These kinematics may be the genesis of similar structures in EIT.

    View details for DOI 10.1103/PhysRevLett.122.124503

    View details for PubMedID 30978052

  • Vortical Gusts: Experimental Generation and Interaction with Wing Hufstedler, E. L., McKeon, B. J. AMER INST AERONAUTICS ASTRONAUTICS. 2019: 921-931

    View details for DOI 10.2514/1.J056914

    View details for Web of Science ID 000459609400005

  • Efficient representation of exact coherent states of the Navier-Stokes equations using resolvent analysis Rosenberg, K., McKeon, B. J. IOP PUBLISHING LTD. 2019
  • Relation between a singly-periodic roughness geometry and spatio-temporal turbulence characteristics Morgan, J., McKeon, B. J. ELSEVIER SCIENCE INC. 2018: 322-333
  • Dynamic Roughness for Manipulation and Control of Turbulent Boundary Layers: An Overview AIAA JOURNAL McKeon, B. J., Jacobi, I., Duvvuri, S. 2018; 56 (6): 2178-2193

    View details for DOI 10.2514/1.J056764

    View details for Web of Science ID 000433557100010

  • Non-normality and classification of amplification mechanisms in stability and resolvent analysis PHYSICAL REVIEW FLUIDS Symon, S., Rosenberg, K., Dawson, S. M., McKeon, B. J. 2018; 3 (5)
  • Modal Analysis of Fluid Flows: An Overview AIAA JOURNAL Taira, K., Brunton, S. L., Dawson, S. M., Rowley, C. W., Colonius, T., McKeon, B. J., Schmidt, O. T., Gordeyev, S., Theofilis, V., Ukeiley, L. S. 2017; 55 (12): 4013-4041

    View details for DOI 10.2514/1.J056060

    View details for Web of Science ID 000417134300001

  • Coherent structures, uniform momentum zones and the streamwise energy spectrum in wall-bounded turbulent flows JOURNAL OF FLUID MECHANICS Saxton-Fox, T., McKeon, B. J. 2017; 826
  • Data assimilation of mean velocity from 2D PIV measurements of flow over an idealized airfoil EXPERIMENTS IN FLUIDS Symon, S., Dovetta, N., McKeon, B. J., Sipp, D., Schmid, P. J. 2017; 58 (5)
  • The engine behind (wall) turbulence : perspectives on scale interactions JOURNAL OF FLUID MECHANICS McKeon, B. J. 2017; 817
  • Scaling and interaction of self-similar modes in models of high Reynolds number wall turbulence PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Sharma, A. S., Moarref, R., McKeon, B. J. 2017; 375 (2089)

    Abstract

    Previous work has established the usefulness of the resolvent operator that maps the terms nonlinear in the turbulent fluctuations to the fluctuations themselves. Further work has described the self-similarity of the resolvent arising from that of the mean velocity profile. The orthogonal modes provided by the resolvent analysis describe the wall-normal coherence of the motions and inherit that self-similarity. In this contribution, we present the implications of this similarity for the nonlinear interaction between modes with different scales and wall-normal locations. By considering the nonlinear interactions between modes, it is shown that much of the turbulence scaling behaviour in the logarithmic region can be determined from a single arbitrarily chosen reference plane. Thus, the geometric scaling of the modes is impressed upon the nonlinear interaction between modes. Implications of these observations on the self-sustaining mechanisms of wall turbulence, modelling and simulation are outlined.This article is part of the themed issue 'Toward the development of high-fidelity models of wall turbulence at large Reynolds number'.

    View details for DOI 10.1098/rsta.2016.0089

    View details for Web of Science ID 000393402700010

    View details for PubMedID 28167582

    View details for PubMedCentralID PMC5311453

  • Phase relations in a forced turbulent boundary layer: implications for modelling of high Reynolds number wall turbulence. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences Duvvuri, S., McKeon, B. 2017; 375 (2089)

    Abstract

    Phase relations between specific scales in a turbulent boundary layer are studied here by highlighting the associated nonlinear scale interactions in the flow. This is achieved through an experimental technique that allows for targeted forcing of the flow through the use of a dynamic wall perturbation. Two distinct large-scale modes with well-defined spatial and temporal wavenumbers were simultaneously forced in the boundary layer, and the resulting nonlinear response from their direct interactions was isolated from the turbulence signal for the study. This approach advances the traditional studies of large- and small-scale interactions in wall turbulence by focusing on the direct interactions between scales with triadic wavenumber consistency. The results are discussed in the context of modelling high Reynolds number wall turbulence.This article is part of the themed issue 'Toward the development of high-fidelity models of wall turbulence at large Reynolds number'.

    View details for DOI 10.1098/rsta.2016.0080

    View details for PubMedID 28167576

    View details for PubMedCentralID PMC5311448

  • Phase-relationships between scales in the perturbed turbulent boundary layer JOURNAL OF TURBULENCE Jacobi, I., McKeon, B. J. 2017; 18 (12): 1120-1143
  • Analysis of Flow Timescales on a Periodically Pitching/Surging Airfoil AIAA JOURNAL Dunne, R., Schmid, P. J., McKeon, B. J. 2016; 54 (11): 3421-3433

    View details for DOI 10.2514/1.J054784

    View details for Web of Science ID 000386858800009

  • A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator JOURNAL OF FLUID MECHANICS Gomez, F., Blackburn, H. M., Rudman, M., Sharma, A. S., McKeon, B. J. 2016; 798
  • Streamwise-varying steady transpiration control in turbulent pipe flow JOURNAL OF FLUID MECHANICS Gomez, F., Blackburn, H. M., Rudman, M., Sharma, A. S., McKeon, B. J. 2016; 796
  • Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. Physical review. E Sharma, A. S., Moarref, R., McKeon, B. J., Park, J. S., Graham, M. D., Willis, A. P. 2016; 93 (2): 021102

    Abstract

    We report that many exact invariant solutions of the Navier-Stokes equations for both pipe and channel flows are well represented by just a few modes of the model of McKeon and Sharma [J. Fluid Mech. 658, 336 (2010)]. This model provides modes that act as a basis to decompose the velocity field, ordered by their amplitude of response to forcing arising from the interaction between scales. The model was originally derived from the Navier-Stokes equations to represent turbulent flows and has been used to explain coherent structure and to predict turbulent statistics. This establishes a surprising new link between the two distinct approaches to understanding turbulence.

    View details for DOI 10.1103/PhysRevE.93.021102

    View details for PubMedID 26986280

  • On the design of optimal compliant walls for turbulence control JOURNAL OF TURBULENCE Luhar, M., Sharma, A. S., McKeon, B. J. 2016; 17 (8): 787-806
  • Leading Edge Vortex Development on Pitching and Surging Airfoils: A Study of Vertical Axis Wind Turbines Dunne, R., Tsai, H., Colonius, T., McKeon, B. J., Segalini, A. SPRINGER INT PUBLISHING AG. 2016: 581-587
  • On the Coupling of Direct Numerical Simulation and Resolvent Analysis Gomez, F., Blackburn, H. M., Rudman, M., Sharma, A. S., McKeon, B. J., Peinke, J., Kampers, G., Oberlack, M., Waclawczyk, M., Talamelli, A. SPRINGER-VERLAG BERLIN. 2016: 87-91
  • Introduction to Topical Issue on Extreme Flows EXPERIMENTS IN FLUIDS Hultmark, M., Marusic, I., McKeon, B. J., Morrison, J. F. 2016; 57 (1)
  • Dynamic stall on a pitching and surging airfoil EXPERIMENTS IN FLUIDS Dunne, R., McKeon, B. J. 2015; 56 (8)
  • A framework for studying the effect of compliant surfaces on wall turbulence JOURNAL OF FLUID MECHANICS Luhar, M., Sharma, A. S., McKeon, B. J. 2015; 768
  • Triadic scale interactions in a turbulent boundary layer JOURNAL OF FLUID MECHANICS Duvvuri, S., McKeon, B. J. 2015; 767
  • On the origin of frequency sparsity in direct numerical simulations of turbulent pipe flow PHYSICS OF FLUIDS Gomez, F., Blackburn, H. M., Rudman, M., McKeon, B. J., Luhar, M., Moarref, R., Sharma, A. S. 2014; 26 (10)

    View details for DOI 10.1063/1.4900768

    View details for Web of Science ID 000344593300011

  • Experimental control of natural perturbations in channel flow JOURNAL OF FLUID MECHANICS Juillet, F., McKeon, B. J., Schmid, P. J. 2014; 752: 296-309
  • On the structure and origin of pressure fluctuations in wall turbulence: predictions based on the resolvent analysis JOURNAL OF FLUID MECHANICS Luhar, M., Sharma, A. S., McKeon, B. J. 2014; 751: 38-70
  • Opposition control within the resolvent analysis framework JOURNAL OF FLUID MECHANICS Luhar, M., Sharma, A. S., McKeon, B. J. 2014; 749: 597-626
  • A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization PHYSICS OF FLUIDS Moarref, R., Jovanovic, M. R., Tropp, J. A., Sharma, A. S., McKeon, B. J. 2014; 26 (5)

    View details for DOI 10.1063/1.4876195

    View details for Web of Science ID 000337103900001

  • Influence of a local change of depth on the behavior of walking oil drops EXPERIMENTAL THERMAL AND FLUID SCIENCE Carmigniani, R., Lapointe, S., Symon, S., McKeon, B. J. 2014; 54: 237-246
  • Compact representation of wall-bounded turbulence using compressive sampling PHYSICS OF FLUIDS Bourguignon, J., Tropp, J. A., Sharma, A. S., McKeon, B. J. 2014; 26 (1)

    View details for DOI 10.1063/1.4862303

    View details for Web of Science ID 000331215200044

  • Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels JOURNAL OF FLUID MECHANICS Moarref, R., Sharma, A. S., Tropp, J. A., McKeon, B. J. 2013; 734: 275-316
  • On coherent structure in wall turbulence JOURNAL OF FLUID MECHANICS Sharma, A. S., McKeon, B. J. 2013; 728: 196-238
  • Time-resolved measurements of coherent structures in the turbulent boundary layer EXPERIMENTS IN FLUIDS Lehew, J. A., Guala, M., McKeon, B. J. 2013; 54 (4)
  • Experimental manipulation of wall turbulence: A systems approach PHYSICS OF FLUIDS McKeon, B. J., Sharma, A. S., Jacobi, I. 2013; 25 (3)

    View details for DOI 10.1063/1.4793444

    View details for Web of Science ID 000316951900001

  • Natural logarithms JOURNAL OF FLUID MECHANICS McKeon, B. J. 2013; 718: 1-4
  • Phase relationships between large and small scales in the turbulent boundary layer EXPERIMENTS IN FLUIDS Jacobi, I., McKeon, B. J. 2013; 54 (3)
  • Obtaining accurate mean velocity measurements in high Reynolds number turbulent boundary layers using Pitot tubes JOURNAL OF FLUID MECHANICS Bailey, S. C., Hultmark, M., Monty, J. P., Alfredsson, P. H., Chong, M. S., Duncan, R. D., Fransson, J. M., Hutchins, N., Marusic, I., McKeon, B. J., Nagib, H. M., Orlu, R., Segalini, A., Smits, A. J., Vinuesa, R. 2013; 715: 642-670
  • Relaminarisation of Re-tau=100 channel flow with globally stabilising linear feedback control PHYSICS OF FLUIDS Sharma, A. S., Morrison, J. F., McKeon, B. J., Limebeer, D. N., Koberg, W. H., Sherwin, S. J. 2011; 23 (12)

    View details for DOI 10.1063/1.3662449

    View details for Web of Science ID 000298642400032

  • Dynamic roughness perturbation of a turbulent boundary layer JOURNAL OF FLUID MECHANICS Jacobi, I., McKeon, B. J. 2011; 688: 258-296
  • Unsteady force measurements in sphere flow from subcritical to supercritical Reynolds numbers EXPERIMENTS IN FLUIDS Norman, A. K., McKeon, B. J. 2011; 51 (5): 1439-1453
  • The effect of a small isolated roughness element on the forces on a sphere in uniform flow EXPERIMENTS IN FLUIDS Norman, A. K., McKeon, B. J. 2011; 51 (4): 1031-1045
  • A study of the three-dimensional spectral energy distribution in a zero pressure gradient turbulent boundary layer EXPERIMENTS IN FLUIDS LeHew, J., Guala, M., McKeon, B. J. 2011; 51 (4): 997-1012
  • A streamwise-constant model of turbulent pipe flow PHYSICS OF FLUIDS Bourguignon, J., McKeon, B. J. 2011; 23 (9)

    View details for DOI 10.1063/1.3640081

    View details for Web of Science ID 000295621800057

  • Amplification and nonlinear mechanisms in plane Couette flow PHYSICS OF FLUIDS Gayme, D. F., McKeon, B. J., Bamieh, B., Papachristodoulou, A., Doyle, J. C. 2011; 23 (6)

    View details for DOI 10.1063/1.3599701

    View details for Web of Science ID 000292333300036

  • New perspectives on the impulsive roughness-perturbation of a turbulent boundary layer JOURNAL OF FLUID MECHANICS Jacobi, I., McKeon, B. J. 2011; 677: 179-203
  • The effect of small-amplitude time-dependent changes to the surface morphology of a sphere JOURNAL OF FLUID MECHANICS Norman, A. K., Kerrigan, E. C., McKeon, B. J. 2011; 675: 268-296
  • Interactions within the turbulent boundary layer at high Reynolds number JOURNAL OF FLUID MECHANICS Guala, M., Metzger, M., McKeon, B. J. 2011; 666: 573-604
  • High-Reynolds Number Wall Turbulence ANNUAL REVIEW OF FLUID MECHANICS, VOL 43 Smits, A. J., McKeon, B. J., Marusic, I., Davis, S. H., Moin, P. 2011; 43: 353-375
  • A streamwise constant model of turbulence in plane Couette flow JOURNAL OF FLUID MECHANICS Gayme, D. F., McKeon, B. J., Papachristodoulou, A., Bamieh, B., Doyle, J. C. 2010; 665: 99-119
  • Large-eddy simulation of large-scale structures in long channel flow JOURNAL OF FLUID MECHANICS Chung, D., McKeon, B. J. 2010; 661: 341-364
  • A critical-layer framework for turbulent pipe flow JOURNAL OF FLUID MECHANICS McKeon, B. J., Sharma, A. S. 2010; 658: 336-382
  • Scaling the characteristic time of the bursting process in the turbulent boundary layer Metzger, M., McKeon, B., Arce-Larreta, E. ELSEVIER. 2010: 1296-1304
  • Intermittency in the atmospheric surface layer: Unresolved or slowly varying? Guala, M., Metzger, M., McKeon, B. J. ELSEVIER SCIENCE BV. 2010: 1251-1257
  • Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues PHYSICS OF FLUIDS Marusic, I., McKeon, B. J., Monkewitz, P. A., Nagib, H. M., Smits, A. J., Sreenivasan, K. R. 2010; 22 (6)

    View details for DOI 10.1063/1.3453711

    View details for Web of Science ID 000280143100026

  • Applied physics. Controlling turbulence. Science (New York, N.Y.) McKeon, B. J. 2010; 327 (5972): 1462-3

    View details for DOI 10.1126/science.1187607

    View details for PubMedID 20299581

  • Turbulent Channel Flow over Model "Dynamic" Roughness McKeon, B. J., Nickels, T. B. SPRINGER. 2010: 87-92
  • The near-neutral atmospheric surface layer: turbulence and non-stationarity PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Metzger, M., McKeon, B. J., Holmes, H. 2007; 365 (1852): 859-876

    Abstract

    The neutrally stable atmospheric surface layer is used as a physical model of a very high Reynolds number, canonical turbulent boundary layer. Challenges and limitations with this model are addressed in detail, including the inherent thermal stratification, surface roughness and non-stationarity of the atmosphere. Concurrent hot-wire and sonic anemometry data acquired in Utah's western desert provide insight to Reynolds number trends in the axial velocity statistics and spectra.

    View details for DOI 10.1098/rsta.2006.1946

    View details for Web of Science ID 000243842600014

    View details for PubMedID 17244589

  • Introduction: scaling and structure in high Reynolds number wall-bounded flows PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES McKeon, B. J., Sreenivasan, K. R. 2007; 365 (1852): 635-646

    View details for DOI 10.1098/rsta.2006.1952

    View details for Web of Science ID 000243842600001

    View details for PubMedID 17244586

  • Asymptotic scaling in turbulent pipe flow PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES McKeon, B. J., Morrison, J. F. 2007; 365 (1852): 771-787

    Abstract

    The streamwise velocity component in turbulent pipe flow is assessed to determine whether it exhibits asymptotic behaviour that is indicative of high Reynolds numbers. The asymptotic behaviour of both the mean velocity (in the form of the log law) and that of the second moment of the streamwise component of velocity in the outer and overlap regions is consistent with the development of spectral regions which indicate inertial scaling. It is shown that an 'inertial sublayer' in physical space may be considered as a spatial analogue of the inertial subrange in the velocity spectrum and such behaviour only appears for Reynolds numbers R+>5 x 10(3), approximately, much higher than was generally thought.

    View details for DOI 10.1098/rsta.2006.1945

    View details for Web of Science ID 000243842600009

    View details for PubMedID 17244590

  • Manufacture of micro-sensors and actuators for flow control Arthur, G. G., McKeon, B. J., Dearing, S. S., Morrison, I. F., Cui, Z. ELSEVIER SCIENCE BV. 2006: 1205-1208
  • A new friction factor relationship for fully developed pipe flow JOURNAL OF FLUID MECHANICS McKeon, B. J., Zagarola, M. V., Smits, A. J. 2005; 538: 429-443
  • Friction factors for smooth pipe flow JOURNAL OF FLUID MECHANICS McKeon, B. J., Swanson, C. J., Zagarola, M. V., Donnelly, R. J., Smits, A. J. 2004; 511: 41-44
  • Scaling of the streamwise velocity component in turbulent pipe flow JOURNAL OF FLUID MECHANICS Morrison, J. F., McKeon, B. J., Jiang, W., Smits, A. J. 2004; 508: 99-131
  • The response of hot wires in high Reynolds-number turbulent pipe flow MEASUREMENT SCIENCE AND TECHNOLOGY Li, J. D., McKeon, B. J., Jiang, W., Morrison, J. F., Smits, A. J. 2004; 15 (5): 789-798
  • Further observations on the mean velocity distribution in fully developed pipe flow JOURNAL OF FLUID MECHANICS McKeon, B. J., Li, J., Jiang, W., Morrison, J. F., Smits, A. J. 2004; 501: 135-147
  • Revised log-law constants for fully-developed turbulent pipe flow McKeon, B. J., Morrison, J. F., Jiang, W., Li, J., Smits, A. J., Smits, A. J. SPRINGER. 2004: 265-270
  • Pitot probe corrections in fully developed turbulent pipe flow MEASUREMENT SCIENCE AND TECHNOLOGY McKeon, B. J., Li, J., Jiang, W., Morrison, J. F., Smits, A. J. 2003; 14 (8): 1449-1458
  • Static pressure correction in high Reynolds number fully developed turbulent pipe flow MEASUREMENT SCIENCE AND TECHNOLOGY McKeon, B. J., Smits, A. J. 2002; 13 (10): 1608-1614
  • Reynolds number dependence of streamwise velocity spectra in turbulent pipe flow PHYSICAL REVIEW LETTERS Morrison, J. F., Jiang, W., McKeon, B. J., Smits, A. J. 2002; 88 (21): 214501

    Abstract

    Spectra of the streamwise velocity component in fully developed turbulent pipe flow are presented for Reynolds numbers up to 5.7x10(6). Even at the highest Reynolds number, streamwise velocity spectra exhibit incomplete similarity only: while spectra collapse with both classical inner and outer scaling for limited ranges of wave number, these ranges do not overlap. Thus similarity may not be described as complete, and a region varying with the inverse of the streamwise wave number, k(1), is not expected, and any apparent k(-1)(1) range does not attract any special significance and does not involve a universal constant. Reasons for this are suggested.

    View details for DOI 10.1103/PhysRevLett.88.214501

    View details for Web of Science ID 000175579200014

    View details for PubMedID 12059477