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    •
    Dan Lucas

    Dan Lucas

    Title
    Lecturer
    Location
    Mackay Building
    Phone
    +44 (0) 1782 7 33081
    Email
    d.lucas1@keele.ac.uk

    Biography

    I have a PhD from the University of St Andrews where I studied vortex dynamics under the supervision of Prof David Dritschel. I then moved to the University of Bristol for 17 months to work with Prof Rich Kerswell FRS on using unstable periodic orbits as a basis for fluid turbulence. A two year spell at University College Dublin followed where I worked with Miguel Bustamante on nonlinear waves and singularities in inviscid fluids. I then joined the Mathematical Underpinnings of Stratified Turbulence project at DAMTP at the University of Cambridge where I studied the mechanisms for layer formation and mixing in forced stratified turbulence via nonlinear solutions. I joined Keele in September 2017.

    Research and scholarship

    My research interests are in fluid mechanics, in particular the nonlinear nature of turbulent flows. A large part of my research involves using computational methods to locate unstable solutions embedded within a chaotic flow and then using them to make predictions about the turbulent statistics, or investigate what physical processes they exhibit. In this way they serve as simple proxies for the complexity of the turbulence. I’m also interested in the mechanisms by which energy is transferred through a nonlinear fluid system and in the finite-time blow-up problem in inviscid flows.

    Teaching

    • MAT-20005 Dynamics

    Further information

    Homepage: http://www.scm.keele.ac.uk/staff/d_lucas/

    Twitter: @drdanlucas

    Researchgate: https://www.researchgate.net/profile/Dan_Lucas

    Selected Publications

    • Lucas D and Yasuda T. 2022. Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback. PHYSICAL REVIEW FLUIDS, Article ARTN 014401, vol. 7(1). link> doi> full text>
    • Lucas D, Perlin M, Liu D-Y, Walsh S, Ivanov R, Bustamante MD. 2021. Five-Wave Resonances in Deep Water Gravity Waves: Integrability, Numerical Simulations and Experiments. Fluids, 1-35, vol. 6(6). doi> link> full text>
    • Lucas D, Caulfield CP, Kerswell RR. 2019. Layer formation and relaminarisation in plane Couette flow with spanwise stratification. Journal of Fluid Mechanics, 97-118, vol. 868. doi> full text>
    • Lucas D and Caulfield CP. 2017. Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence. JOURNAL OF FLUID MECHANICS, Article ARTN R1, vol. 832. link> doi> full text>
    • Lucas D, Caulfield CP, Kerswell RR. 2017. Layer formation in horizontally forced stratified turbulence:connecting exact coherent structures to linear instabilities. JOURNAL OF FLUID MECHANICS, 409-437, vol. 832. link> doi> full text>

    Full Publications Listshow

    Journal Articles

    • Lucas D and Yasuda T. 2022. Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback. PHYSICAL REVIEW FLUIDS, Article ARTN 014401, vol. 7(1). link> doi> full text>
    • Lucas D, Perlin M, Liu D-Y, Walsh S, Ivanov R, Bustamante MD. 2021. Five-Wave Resonances in Deep Water Gravity Waves: Integrability, Numerical Simulations and Experiments. Fluids, 1-35, vol. 6(6). doi> link> full text>
    • Lucas D, Caulfield CP, Kerswell RR. 2019. Layer formation and relaminarisation in plane Couette flow with spanwise stratification. Journal of Fluid Mechanics, 97-118, vol. 868. doi> full text>
    • Lucas D and Caulfield CP. 2017. Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence. JOURNAL OF FLUID MECHANICS, Article ARTN R1, vol. 832. link> doi> full text>
    • Lucas D, Caulfield CP, Kerswell RR. 2017. Layer formation in horizontally forced stratified turbulence:connecting exact coherent structures to linear instabilities. JOURNAL OF FLUID MECHANICS, 409-437, vol. 832. link> doi> full text>
    • Lucas D and Kerswell R. 2017. Sustaining processes from recurrent flows in body-forced turbulence. JOURNAL OF FLUID MECHANICS, Article ARTN R3, vol. 817. link> doi>
    • Mulungye RM, Lucas D, Bustamante MD. 2016. Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows. JOURNAL OF FLUID MECHANICS, Article ARTN R3, vol. 788. link> doi>
    • Mulungye RM, Lucas D, Bustamante MD. 2015. Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions. JOURNAL OF FLUID MECHANICS, vol. 771. link> doi>
    • Lucas D and Kerswell RR. 2015. Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow. PHYSICS OF FLUIDS, Article ARTN 045106, vol. 27(4). link> doi>
    • Bustamante MD, Quinn B, Lucas D. 2014. Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems. Phys Rev Lett, 084502, vol. 113(8). link> doi>
    • Lucas D and Kerswell R. 2014. Spatiotemporal dynamics in two-dimensional Kolmogorov flow over large domains. JOURNAL OF FLUID MECHANICS, 518-554, vol. 750. link> doi>
    • Lucas D and Dritschel DG. 2009. A family of helically symmetric vortex equilibria. JOURNAL OF FLUID MECHANICS, 245-268, vol. 634. link> doi>

    Research themes

    Fluid Dynamics and Acoustics

    School of Computer Science and Mathematics
    Keele University
    Staffordshire
    ST5 5AA