6 papers
Vorticity amplification in viscoelastic channel flows with long-wave surface distortions
Jacob Page, Tamer A. Zaki
Surface distortions to an otherwise planar channel flow introduce vorticity perturbations. We examine this scenario in viscoelastic fluids, and identify new mechanisms by which sig…
Revealing the state space of turbulence using machine learning
Jacob Page, Michael P. Brenner, Rich R. Kerswell
Despite the apparent complexity of turbulent flow, identifying a simpler description of the underlying dynamical system remains a fundamental challenge. Capturing how the turbulent…
Exact travelling wave solutions in viscoelastic channel flow
Jacob Page, Yves Dubief, Rich R. Kerswell
Elasto-inertial turbulence (EIT) is a new, two-dimensional chaotic flow state observed in polymer solutions with possible connections to inertialess elastic turbulence and drag-red…
Searching turbulence for periodic orbits with dynamic mode decomposition
Jacob Page, Rich R. Kerswell
We present a new method for generating robust guesses for unstable periodic orbits (UPOs) by post-processing turbulent data using dynamic mode decomposition (DMD). The approach rel…
Koopman analysis of isolated fronts and solitons
Jeremy Parker, Jacob Page
A Koopman decomposition of a complex system leads to a representation in which nonlinear dynamics appear to be linear. The existence of a linear framework with which to analyse non…
Koopman mode expansions between simple invariant solutions
Jacob Page, Rich R. Kerswell
A Koopman decomposition is a powerful method of analysis for fluid flows leading to an apparently linear description of nonlinear dynamics in which the flow is expressed as a super…