231 citations · 1.9k across the 42 of their papers we have counts for
7 papers · 1 filter
Data-Driven Reduced-Order Modeling of Spatiotemporal Chaos with Neural Ordinary Differential Equations
Alec J. Linot, Michael D. Graham
Dissipative partial differential equations that exhibit chaotic dynamics tend to evolve to attractors that exist on finite-dimensional manifolds. We present a data-driven reduced o…
Perspectives on viscoelastic flow instabilities and elastic turbulence
Sujit S. Datta, Arezoo M. Ardekani, Paulo E. Arratia +20
Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelas…
Data-driven discovery of intrinsic dynamics
Daniel Floryan, Michael D. Graham
Dynamical models underpin our ability to understand and predict the behavior of natural systems. Whether dynamical models are developed from first-principles derivations or from ob…
Wrinkling and multiplicity in the dynamics of deformable sheets in uniaxial extensional flow
Yijiang Yu, Michael D. Graham
The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many appli…
Symmetry reduction for deep reinforcement learning active control of chaotic spatiotemporal dynamics
Kevin Zeng, Michael D. Graham
Deep reinforcement learning (RL) is a data-driven, model-free method capable of discovering complex control strategies for macroscopic objectives in high-dimensional systems, makin…
Tollmien-Schlichting route to elastoinertial turbulence in channel flow
Ashwin Shekar, Ryan M. McMullen, Beverley J. McKeon +1
Direct simulations of two-dimensional channel flow of a viscoelastic fluid have revealed the existence of a family of Tollmien-Schlichting (TS) attractors that is nonlinearly self-…
Constitutive modeling of dilute wormlike micelle solutions: shear-induced structure and transient dynamics
Richard J. Hommel, Michael D. Graham
We present a reformulation of the 'reactive rod model' (RRM) of Dutta and Graham [Dutta, Sarit and Graham, Michael D., JNNFM 251 (2018)], a constitutive model for describing the be…