5 papers · 1 filter
Pilot-Wave Dynamics: Using Dynamic Mode Decomposition to characterize Bifurcations, Routes to Chaos and Emergent Statistics
J. Nathan Kutz, Andre Nachbin, Peter J. Baddoo +1
We develop a data-driven characterization of the pilot-wave hydrodynamic system in which a bouncing droplet self-propels along the surface of a vibrating bath. We consider drop mot…
Data-driven resolvent analysis
Benjamin Herrmann, Peter J. Baddoo, Richard Semaan +2
Resolvent analysis identifies the most responsive forcings and most receptive states of a dynamical system, in an input--output sense, based on its governing equations. Interest in…
A calculus for flows in periodic domains
Peter J. Baddoo, Lorna J. Ayton
We present a constructive procedure for the calculation of 2-D potential flows in periodic domains with multiple boundaries per period window. The solution requires two steps: (i)…
Exact solutions for ground effect
Peter J. Baddoo, Melike Kurt, Lorna J. Ayton +1
"Ground effect" refers to the enhanced performance enjoyed by fliers or swimmers operating close to the ground. We derive a number of exact solutions for this phenomenon, thereby e…
Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance
Peter J. Baddoo, Lorna J. Ayton
We present a solution for the scattered field caused by an incident wave interacting with an infinite cascade of blades with complex boundary conditions. This extends previous stud…