Dr Dan Lucas
Lecturer in Computational Mathematics and Statistics
Research areas
My research studies the complexity of fluid flows arising due to the nonlinearity of the equations of motion. This includes turbulence, instability, control, transition, waves, resonance, mixing and extreme events.
For more info see my personal homepage.
PhD supervision
- Stefan Faaland
Selected publications
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Open access
Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback
Yasuda, T. & Lucas, D., 25 Feb 2025, In: Journal of Fluid Mechanics. 1005, 28 p., A3.Research output: Contribution to journal › Article › peer-review
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Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence
Redfern, E. M., Lazer, A. L. & Lucas, D., 9 Aug 2024, arXiv.Research output: Working paper › Preprint
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Open access
Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence
Redfern, E. M., Lazer, A. L. & Lucas, D., 12 Dec 2024, In: Physical Review Fluids. 9, 16 p., 124401.Research output: Contribution to journal › Article › peer-review
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Open access
Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback
Yasuda, T. & Lucas, D., 21 Jun 2024, 25 p.Research output: Working paper › Preprint
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Open access
Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback
Lucas, D. & Yasuda, T., 20 Jan 2022, In: Physical Review Fluids. 7, 1, 22 p., 014401.Research output: Contribution to journal › Article › peer-review
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Open access
Five-wave resonances in deep water gravity waves: integrability, numerical simulations and experiments
Lucas, D., Perlin, M., Liu, D.-Y., Walsh, S., Ivanov, R. & Bustamante, M. D., 1 Jun 2021, In: Fluids. 6, 6, 35 p., 205.Research output: Contribution to journal › Article › peer-review
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Layer formation and relaminarisation in plane Couette flow with spanwise stratification
Lucas, D., Caulfield, C. P. & Kerswell, R. R., 10 Jun 2019, In: Journal of Fluid Mechanics. 868, p. 97-118 22 p.Research output: Contribution to journal › Article › peer-review
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Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence
Lucas, D. & Caulfield, C. P., 10 Dec 2017, In: Journal of Fluid Mechanics. 832, 13 p., 1.Research output: Contribution to journal › Article › peer-review
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Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities
Lucas, D., Caulfield, C. P. & Kerswell, R. R., 10 Dec 2017, In: Journal of Fluid Mechanics. 832, p. 409-437 29 p.Research output: Contribution to journal › Article › peer-review
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Sustaining processes from recurrent flows in body-forced turbulence
Lucas, D. & Kerswell, R., 25 Apr 2017, In: Journal of Fluid Mechanics. 817, 11 p., 3.Research output: Contribution to journal › Article › peer-review
