Publications

Stabilisation of exact coherent structures in two-dimensional turbulence using time-delayed feedback,
Lucas, 2020 In Review (arXiv preprint here)

 

Layer formation and relaminarisation in plane Couette flow with spanwise stratification,
Lucas, Caulfield & Kerswell 2019 J. Fluid Mech.  868, pp 97-118 (arXiv preprint here)

 

Mixing by unstable periodic orbits in buoyancy dominated stratified turbulence,
Lucas & Caulfield 2017 J. Fluid Mech.  Rapids 832 R1 13p (arXiv preprint here)

 

Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities,
Lucas, Caulfield & Kerswell 2017 J. Fluid Mech.  832 pp 409-437 (arXiv preprint here)

 

Sustaining processes via recurrent flows in body-forced turbulence,
Lucas & Kerswell 2017 J. Fluid Mech. Rapids 817. R3 (arXiv preprint here)

 

Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows,
Mulungye, Lucas & Bustamante 2016, J. Fluid Mech. Rapids 788. R3 (arXiv preprint here)

 

Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions,
Mulungye, Lucas & Bustamante 2015, J. Fluid Mech. 771 pp. 468- 502 (arXiv preprint here)

 

Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow,
Lucas & Kerswell 2015, Phs. Fluids. 27, 045106 (arXiv preprint here)

 

Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems,
Bustamante, Quinn & Lucas 2014, Phys. Rev. Lett. 113 084502 (arXiv preprint here)

 

Spatiotemporal dynamics in 2D Kolmogorov flow over large domains,
Lucas & Kerswell 2014, J. Fluid Mech. 750 pp. 548-554 (arXiv preprint here)

 

A family of helically symmetric vortex equilibria,
Lucas & Dritschel 2009, J. Fluid Mech. 634 pp. 245-268


PhD Thesis:
A highly adaptive three dimensional hybrid vortex method for inviscid flows and helically symmetric vortex equilibria