Dr Dan Lucas

Lecturer in Computational Mathematics and Statistics

Researcher profile

Phone

+44 (0)1334 46 1648

Email

dl21@st-andrews.ac.uk

 

Research areas

My research studies the complexity of fluid flows arising due to the nonlinearity of the equations of motion. This includes turbulence, instability, control, transition, waves, resonance, mixing and extreme events. 

For more info see my personal homepage.

PhD supervision

• Stefan Faaland

Selected publications

• Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence

  Redfern, E. M., Lazer, A. L. & Lucas, D., 9 Aug 2024, arXiv.

  Research output: Working paper › Preprint

• Open access

  Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback

  Yasuda, T. & Lucas, D., 21 Jun 2024, 25 p.

  Research output: Working paper › Preprint

• Open access

  Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback

  Lucas, D. & Yasuda, T., 20 Jan 2022, In: Physical Review Fluids. 7, 1, 22 p., 014401.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Five-wave resonances in deep water gravity waves: integrability, numerical simulations and experiments

  Lucas, D., Perlin, M., Liu, D.-Y., Walsh, S., Ivanov, R. & Bustamante, M. D., 1 Jun 2021, In: Fluids. 6, 6, 35 p., 205.

  Research output: Contribution to journal › Article › peer-review

• Layer formation and relaminarisation in plane Couette flow with spanwise stratification

  Lucas, D., Caulfield, C. P. & Kerswell, R. R., 10 Jun 2019, In: Journal of Fluid Mechanics. 868, p. 97-118 22 p.

  Research output: Contribution to journal › Article › peer-review

• Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence

  Lucas, D. & Caulfield, C. P., 10 Dec 2017, In: Journal of Fluid Mechanics. 832, 13 p., 1.

  Research output: Contribution to journal › Article › peer-review

• Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities

  Lucas, D., Caulfield, C. P. & Kerswell, R. R., 10 Dec 2017, In: Journal of Fluid Mechanics. 832, p. 409-437 29 p.

  Research output: Contribution to journal › Article › peer-review

• Sustaining processes from recurrent flows in body-forced turbulence

  Lucas, D. & Kerswell, R., 25 Apr 2017, In: Journal of Fluid Mechanics. 817, 11 p., 3.

  Research output: Contribution to journal › Article › peer-review

• Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows

  Mulungye, R. M., Lucas, D. & Bustamante, M. D., Feb 2016, In: Journal of Fluid Mechanics. 788, 12 p., 3.

  Research output: Contribution to journal › Article › peer-review

• Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow

  Lucas, D. & Kerswell, R. R., Apr 2015, In: Physics of Fluids. 27, 4, 26 p., 045106.

  Research output: Contribution to journal › Article › peer-review

 

See more publications