52 citations · 76 across the 3 of their papers we have counts for
3 papers
physics.flu-dyn2016
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…
physics.flu-dyn2014★ 52 cited
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)…
physics.flu-dyn2014★ 24 cited
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…