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
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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>2022.
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Five-Wave Resonances in Deep Water Gravity Waves: Integrability, Numerical Simulations and Experiments. Fluids, 1-35, vol. 6(6). doi> link> full text>2021.
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Layer formation and relaminarisation in plane Couette flow with spanwise stratification. Journal of Fluid Mechanics, 97-118, vol. 868. doi> full text>2019.
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Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence. JOURNAL OF FLUID MECHANICS, Article ARTN R1, vol. 832. link> doi> full text>2017.
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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>2017.
Full Publications Listshow
Journal Articles
-
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>2022.
-
Five-Wave Resonances in Deep Water Gravity Waves: Integrability, Numerical Simulations and Experiments. Fluids, 1-35, vol. 6(6). doi> link> full text>2021.
-
Layer formation and relaminarisation in plane Couette flow with spanwise stratification. Journal of Fluid Mechanics, 97-118, vol. 868. doi> full text>2019.
-
Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence. JOURNAL OF FLUID MECHANICS, Article ARTN R1, vol. 832. link> doi> full text>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>2017.
- 2017.
- 2016.
- 2015.
- 2015.
- 2014.
- 2014.
- 2009.
Research themes
Fluid Dynamics and Acoustics
School of Computer Science and Mathematics
Keele University
Staffordshire
ST5 5AA
Email: scm.admin@keele.ac.uk
Tel:+44 (0) 1782 731830