66 citations · 253 across the 13 of their papers we have counts for
13 papers
Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence
Edward M. Redfern, Andrei L. Lazer, Dan Lucas
This paper demonstrates the efficient extraction of unstable recurrent flows from two-dimensional turbulence by using nonlinear triads to diagnose recurrence in direct numerical si…
Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback
Tatsuya Yasuda, Dan Lucas
We demonstrate the first successful non-invasive stabilisation of nonlinear travelling waves in a straight cylindrical pipe using time-delayed feedback control (TDF) working in var…
Stabilisation of exact coherent structures in two-dimensional turbulence using time-delayed feedback
Dan Lucas, Tatsuya Yasuda
Time-delayed feedback control, attributed to Pyragas (1992 Physics Letters 170(6) 421-428), is a method known to stabilise periodic orbits in low dimensional chaotic dynamical syst…
Thermodynamics of the scalar radiation in the presence of a reflecting plane wall
E. S. Moreira
This paper investigates further how the presence of a single reflecting plane wall modifies the usual Planckian forms in the thermodynamics of the massless scalar radiation in -…
Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence
Dan Lucas, C. P. Caulfield
We consider turbulence driven by a large-scale horizontal shear in Kolmogorov flow (i.e. with sinusoidal body forcing) and a background linear stable stratification with buoyancy f…
Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities
Dan Lucas, C. P. Caulfield, Rich R. Kerswell
We consider turbulence in a stratified 'Kolmogorov' flow, driven by horizontal shear in the form of sinusoidal body forcing in the presence of an imposed background linear stable s…
Sustaining processes from recurrent flows in body-forced turbulence
Dan Lucas, Rich Kerswell
By extracting unstable invariant solutions directly from body-forced three-dimensional turbulence, we study the dynamical processes at play when the forcing is large scale and eith…
Precession resonance in water waves
Dan Lucas, Miguel D Bustamante, Marc Perlin
We describe the theory and present numerical evidence for a new type of nonlinear resonant interaction between gravity waves on the surface of deep water. The resonance constitutes…
Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows
Rachel M. Mulungye, Dan Lucas, Miguel D. Bustamante
We revisit, both numerically and analytically, the finite-time blowup of the infinite-energy solution of 3D Euler equations of stagnation-point-type introduced by Gibbon et al. (19…
Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions
Rachel M. Mulungye, Dan Lucas, Miguel D. Bustamante
Motivated by the work on stagnation-point type exact solutions (with infinite energy) of 3D Euler fluid equations by Gibbon et al. (1999) and the subsequent demonstration of finite…
Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow
Dan Lucas, Rich Kerswell
Motivated by recent success in the dynamical systems approach to transitional flow, we study the efficiency and effectiveness of extracting simple invariant sets (recurrent flows)…
Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems
Miguel D. Bustamante, Brenda Quinn, Dan Lucas
A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in m…
Spatiotemporal dynamics in 2D Kolmogorov flow over large domains
Dan Lucas, Rich R. Kerswell
Kolmogorov flow in two dimensions - the two-dimensional Navier-Stokes equations with a sinusoidal body force - is considered over extended periodic domains to reveal localised spat…