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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
Pages
Welcome
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Posts
Future Blog Post
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Blog Post number 4
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Blog Post number 1
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portfolio
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publications
A family of helically symmetric vortex equilibria
Published in Journal of Fluid Mechanics, 2009
Use Google Scholar for full citation
Recommended citation: D Lucas, D Dritschel, "A family of helically symmetric vortex equilibria." Journal of Fluid Mechanics, 2009.
Spatiotemporal dynamics in two-dimensional Kolmogorov flow over large domains
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.
Robust Energy Transfer Mechanism via Precession Resonance in Nonlinear Turbulent Wave Systems
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.
Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow
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.
Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions
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.
Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows
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.
Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence
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.
Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities
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.
Sustaining processes from recurrent flows in body-forced turbulence
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.
Layer formation and relaminarisation in plane Couette flow with spanwise stratification
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.
Five-Wave Resonances in Deep Water Gravity Waves: Integrability, Numerical Simulations and Experiments
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
Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback
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
Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback
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
Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence
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
talks
Recurrent flows embedded in 2D turbulence
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Recurrent flows embedded in 2D turbulence
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Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
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Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Published:
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Published:
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Published:
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
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teaching
Teaching Semester 1 2022
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.
Teaching Semester 2 2022
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.
Teaching Semester 1 2023
Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2023
In semester 1 I will be teaching MT4112 Computational Numerical Analysis
Teaching Semester 2 2023
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.
Teaching Semester 1 2024/25
Undergraduate courses, University of St Andrews, Department of Mathematics & Statistics, 2024
In semester 1 I will be teaching MT4112 Computational Numerical Analysis
Teaching Semester 2 2024/25
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.