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Published in Journal of Fluid Mechanics, 2009
Recommended citation: D Lucas, D Dritschel, "A family of helically symmetric vortex equilibria." Journal of Fluid Mechanics, 2009.
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Published in Journal of Fluid Mechanics, 2014
Recommended citation: Dan Lucas, Rich Kerswell, "Spatiotemporal dynamics in two-dimensional Kolmogorov flow over large domains." Journal of Fluid Mechanics, 2014.
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Published in Physical review letters, 2014
Recommended citation: Miguel Bustamante, Brenda Quinn, Dan Lucas, "Robust Energy Transfer Mechanism via Precession Resonance in Nonlinear Turbulent Wave Systems." Physical review letters, 2014.
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Published in Physics of Fluids, 2015
Recommended citation: Dan Lucas, Rich Kerswell, "Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow." Physics of Fluids, 2015.
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Published in Journal of Fluid Mechanics, 2015
Recommended citation: Rachel Mulungye, Dan Lucas, Miguel Bustamante, "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, 2015.
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Published in Journal of Fluid Mechanics, 2016
Recommended citation: Rachel Mulungye, Dan Lucas, Miguel Bustamante, "Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows." Journal of Fluid Mechanics, 2016.
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Published in Journal of Fluid Mechanics, 2017
Recommended citation: Dan Lucas, C. Caulfield, "Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence." Journal of Fluid Mechanics, 2017.
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Published in Journal of Fluid Mechanics, 2017
Recommended citation: Dan Lucas, C. Caulfield, Rich Kerswell, "Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities." Journal of Fluid Mechanics, 2017.
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Published in Journal of Fluid Mechanics, 2017
Recommended citation: Dan Lucas, Rich Kerswell, "Sustaining processes from recurrent flows in body-forced turbulence." Journal of Fluid Mechanics, 2017.
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Published in Journal of Fluid Mechanics, 2019
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Recommended citation: Dan Lucas, C. Caulfield, Rich Kerswell, "Layer formation and relaminarisation in plane Couette flow with spanwise stratification." Journal of Fluid Mechanics, 2019.
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Published in Fluids, 2021
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Recommended citation: Dan Lucas, Marc Perlin, Dian-Yong Liu, Shane Walsh, Rossen Ivanov, Miguel Bustamante, "Five-Wave Resonances in Deep Water Gravity Waves: Integrability, Numerical Simulations and Experiments." Fluids, 2021.
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Published in Phys. Rev. Fluids, 2022
See video below demonstrating the stabilisation of a travelling wave in 2D turbulence using time-delayed feedback control.
Recommended citation: Dan Lucas, Tatsuya Yasuda, "Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback." Phys. Rev. Fluids, 2022.
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Published in Physical Review Fluids, 2024
Recommended citation: Ed Redfern, Andrei Lazer, Dan Lucas, "Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence " Phys. Rev. Fluids **9**, 124401.
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Published in Journal of Fluid Mechanics, 2025
See video below demonstrating the stabilisation of a travelling wave in pipe flow using time-delayed feedback control.
Recommended citation: Tatsuya Yasuda, Dan Lucas, "Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback " J. Fluid Mech. 1005:A3 2025.
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Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2022
In semester 1 I will be teaching on MT2000 Computing Workshop and MT1001 Introductory Mathematics.
Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2023
In semester 2 I will be teaching on MT3501 Introduction to Mathematical Computing and MT1003 Pure and Applied Mathematics.
Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2023
In semester 1 I will be teaching MT4112 Computational Numerical Analysis
Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2024
In semester 2 I will be teaching on MT3501 Introduction to Mathematical Computing and MT1003 Pure and Applied Mathematics.
Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2024
In semester 1 I will be teaching MT4112 Computational Numerical Analysis
Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2025
In semester 2 I will be teaching on MT3501 Introduction to Mathematical Computing and MT1003 Pure and Applied Mathematics.