A family of helically symmetric vortex equilibria
D Lucas, D Dritschel, "A family of helically symmetric vortex equilibria." Journal of Fluid Mechanics, 2009.
CV
Grants
EPSRC New Investigator Award “Stabilisation of Exact Coherent Structures in Fluid Turbulence” EP/S037055 £208,587. Start date: 01/05/2020
Education
- MMath in Applied Mathematics, University of St Andrews, 2006
- MSc in Mathematical & Numerical Modelling of the Atmosphere & Oceans, Reading University, 2007
- Ph.D in Vortex Dynamics, University of St Andrews, 2012
Work experience
- Sept 2017-May 2022: Lecturer in Applied Mathematics
- Keele University
- Education & Research
- Oct 2015-Aug 2017: PDRA
- University of Cambridge
- MUST Programme Grant
- Supervisor: Professor C.P. Caulfield
- Oct 2013-Oct 2015: PDRA
- University College Dublin
- Genesis & Development of Extreme Events
- Supervisor: Dr Miguel Bustamante
- April 2012-Oct 2013: PDRA
- University of Bristol
- Periodic orbits as a basis for fluid turbulence
- Supervisor: Professor Rich Kerswell
Publications
Spatiotemporal dynamics in two-dimensional Kolmogorov flow over large domains
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
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
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
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
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
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
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
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
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
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.
Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback
Dan Lucas, Tatsuya Yasuda, "Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback." Phys. Rev. Fluids, 2022.
Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback
Tatsuya Yasuda, Dan Lucas, "Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback " arxiv.org/abs/2406.1558, 2024.
Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence
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.
Talks
Recurrent flows embedded in 2D turbulence
Talk at MACSI Seminar, University of Limerick, Limeri
Robust energy transfer mechanism via precession resonance in nonlinear wave systems
Conference talk at 67th Annual Meeting of the American Physical Society Division of Fluid Dynamics, San Francisco, USA
Numerical simulation of agglomeration and transport of drilling-generated particles in directional oil wells
Workshop at Adwell open seminar, International Research Institute Stavanger, Stavanger, Norway
Recurrent flows embedded in 2D turbulence
Talk at Applied Mathematics Seminar, University of Glasgow, Glasgow, UK
Assessing late-time singular behaviour in symmetry-plane models of 3D Euler flow
Conference talk at 15th European Turbulence Conference, Delft, Delft, Netherlands
Unstable periodic orbits and sustaining processes in body-forced turbulence
Conference talk at France-Japan shear flow workshop, ESPCI, Paris, France
Exact coherent structures driving layer formation in stratified turbulence
Talk at Applied Mathematics Seminar, Loughborough University, Loughborough, UK
Exact coherent structures driving layer formation in stratified turbulence
Conference talk at 69th Annual Meeting of the American Physical Society Division of Fluid Dynamics, Portland, OR, USA
Irreversible mixing by unstable periodic orbits in stratified turbulence
Conference talk at 16th European Turbulence Conference, KTH, Stockholm, Stockholm, Sweden
Layers & mixing in stratified turbulence; a dynamical systems perspective
Talk at Fluids Seminar, School of Mathematics, Imperial College , London, UK
Layers & mixing in stratified turbulence; a dynamical systems perspective
Talk at Fluids & MHD Seminar, University of Leeds, Leeds, UK
Layers & mixing in stratified turbulence; a dynamical systems perspective
Talk at Applied Mathematics Colloquium, University of Sheffield, Sheffield, UK
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Talk at Woods Hole Geophysical Fluid Dynamics Summer Programme, Woods Hole, MA, USA
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Talk at Applied Mathematics Seminar, Coventry University, Coventry, UK
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Talk at Fluids & Materials Seminar, University of Bristol, Bristol, UK
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Talk at Aerodynamics & Flight Mechanics Group Seminar, University of Southampton, Southampton, UK
Layers, localisation, and relaminarisation in horizontally shearing stratified turbulence
Conference talk at 17th European Turbulence Conference, Turin, Turin, Italy
Stabilisation of exact coherent structures using time-delayed feedback in 2D turbulence
Talk at Physical applied mathematics seminar, University of Manchester, Online
Stabilisation of exact coherent structures using time-delayed feedback in 2D turbulence
Talk at Australasian fluid mechanics seminar series, Online
Stabilisation of exact coherent structures using time-delayed feedback in 2D turbulence
Talk at Shear flow transition and turbulence seminar , Online
Stabilisation of exact coherent structures using time-delayed feedback in 2D turbulence
Talk at Numerical Analysis Seminar, North Carolina State University , Online
Stabilising travelling waves from pipe flow turbulence
Talk at Bifurcations and instabilities in fluid dynamics, 2024, Edinburgh
Stabilisation of travelling waves from fluid turbulence
Talk at Applied mathematics seminar, University of Dundee, Dundee
Stabilisation of travelling waves from fluid turbulence
Talk at Fluids and Materials Seminar, University of Bristol., Bristol
Teaching
Service and leadership
- Deputy Director of Teaching for Mathematics and Statistics (St Andrews Aug 2023-date)
- Director of Recruitment & Marketing and Admissions Tutor for Mathematics (Keele 2019-2022).
- Member of extended School Senior Management Team, Mathematics Courses Committee and Athena SWAN steering committee. (Keele)
- Reviewer for EPSRC, Journal of Fluid Mechanics, Physics of Fluids, Fluid Dynamics Research & EJM B/Fluids.