Published in Physical Review Fluids (accepted/in press), 2024
Recommended citation: Ed Redfern, Andrei Lazer, Dan Lucas, "Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence " arxiv.org/abs/2408.05079, 2024. https://journals.aps.org/prfluids/accepted/0a075S9cIbf1840182557b1686523635ce18f62a8
Published in arXiv (under review at JFM), 2024
Recommended citation: Tatsuya Yasuda, Dan Lucas, "Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback " arxiv.org/abs/2406.1558, 2024. https://arxiv.org/abs/2406.15588
Published in Phys. Rev. Fluids, 2022
Recommended citation: Dan Lucas, Tatsuya Yasuda, "Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback." Phys. Rev. Fluids, 2022. https://link.aps.org/doi/10.1103/PhysRevFluids.7.014401
Published in Fluids, 2021
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. https://www.mdpi.com/2311-5521/6/6/205
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.
Published in Journal of Fluid Mechanics, 2017
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Recommended citation: Dan Lucas, Rich Kerswell, "Sustaining processes from recurrent flows in body-forced turbulence." Journal of Fluid Mechanics, 2017.
Published in Journal of Fluid Mechanics, 2017
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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.
Published in Journal of Fluid Mechanics, 2017
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Recommended citation: Dan Lucas, C. Caulfield, "Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence." Journal of Fluid Mechanics, 2017.
Published in Journal of Fluid Mechanics, 2016
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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.
Published in Journal of Fluid Mechanics, 2015
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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.
Published in Physics of Fluids, 2015
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Recommended citation: Dan Lucas, Rich Kerswell, "Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow." Physics of Fluids, 2015.
Published in Physical review letters, 2014
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Recommended citation: Miguel Bustamante, Brenda Quinn, Dan Lucas, "Robust Energy Transfer Mechanism via Precession Resonance in Nonlinear Turbulent Wave Systems." Physical review letters, 2014.
Published in Journal of Fluid Mechanics, 2014
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Recommended citation: Dan Lucas, Rich Kerswell, "Spatiotemporal dynamics in two-dimensional Kolmogorov flow over large domains." Journal of Fluid Mechanics, 2014.
Published in Journal of Fluid Mechanics, 2009
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Recommended citation: D Lucas, D Dritschel, "A family of helically symmetric vortex equilibria." Journal of Fluid Mechanics, 2009.