79 citations · 432 across the 18 of their papers we have counts for
19 papers
A neural network architecture and training algorithm to predict viscoelastic stresses from vortical data
Lu Zhu, Jacob Page
Numerical simulations of elastic turbulence in parallel shear flows of polymer solutions indicate that the phenomena is associated with the formation and instability of exact coher…
Transition route to elastic and elasto-inertial turbulence in polymer channel flows
Miguel Beneitez, Jacob Page, Yves Dubief +1
Viscoelastic shear flows support additional chaotic states beyond simple Newtonian turbulence. In vanishing Reynolds number flows, the nonlinearity in the polymer evolution equatio…
Asymptotics of the centre mode instability in viscoelastic channel flow: with and without inertia
Rich Kerswell, Jacob Page
Motivated by the recent numerical results of Khalid et al., Phys. Rev. Lett., 127, 134502 (2021), we consider the large-Weissenberg-number () asymptotics of the centre mode inst…
Exact coherent structures in two-dimensional turbulence identified with convolutional autoencoders
Jacob Page, Joe Holey, Michael P. Brenner +1
Convolutional autoencoders are used to deconstruct the changing dynamics of two-dimensional Kolmogorov flow as is increased from weakly chaotic flow at to a chaotic st…
Multistability of elasto-inertial two-dimensional channel flow
Miguel Beneitez, Jacob Page, Yves Dubief +1
Elasto-inertial turbulence (EIT) is a recently discovered two-dimensional chaotic flow state observed in dilute polymer solutions. It has been hypothesised that the dynamical origi…
Inertial enhancement of the polymer diffusive instability
Miles M. P. Couchman, Miguel Beneitez, Jacob Page +1
Beneitez et al. (Phys. Rev. Fluids, 8, L101901, 2023) have recently discovered a new linear "polymer diffusive instability" (PDI) in inertialess rectilinear viscoelastic shear flow…
Exploring the free-energy landscape of a rotating superfluid
Andrew Cleary, Jacob Page
The equilibrium state of a superfluid in a rotating cylindrical vessel is a vortex crystal -- an array of vortex lines which is stationary in the rotating frame. Experimental reali…
Recurrent flow patterns as a basis for turbulence: predicting statistics from structures
Jacob Page, Peter Norgaard, Michael P. Brenner +1
A dynamical systems approach to turbulence envisions the flow as a trajectory through a high-dimensional state space transiently visiting the neighbourhoods of unstable simple inva…
Polymeric diffusive instability leading to elastic turbulence in plane Couette flow
Miguel Beneitez, Jacob Page, Rich R. Kerswell
Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. It was discovered experimentally in circular geometries and has long been…
Finite-amplitude elastic waves in viscoelastic channel flow from large to zero Reynolds number
Gergely Buza, Miguel Beneitez, Jacob Page +1
Using branch continuation in the FENE-P model, we show that finite-amplitude travelling waves borne out of the recently-discovered linear instability of viscoelastic channel flow (…
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…
Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers
Gergely Buza, Jacob Page, Rich R. Kerswell
The recently-discovered centre-mode instability of rectilinear viscoelastic shear flow (Garg et al. Phy. Rev. Lett. 121, 024502, 2018) has offered an explanation for the origin of…
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…
A first coherent structure in elasto-inertial turbulence
Yves Dubief, Jacob Page, Rich R. Kerswell +2
Two dimensional channel flow simulations of FENE-P fluid in the elasto-inertial turbulence regime reveal distinct regimes ranging from chaos to a steady travelling wave which takes…
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…
Koopman analysis of Burgers equation
Jacob Page, Rich R. Kerswell
The emergence of Dynamic Mode Decomposition (DMD) as a practical way to attempt a Koopman mode decomposition of a nonlinear PDE presents exciting prospects for identifying invarian…