34 citations · 38 across the 7 of their papers we have counts for
10 papers
A Local Spectral Exterior Calculus for the Sphere and Application to the Shallow Water Equations
Clauson Carvalho da Silva, Christian Lessig, Boyko Dodov +2
We introduce , a local spectral exterior calculus for the two-sphere . provides a discretization of Cartan's exterior calculus on formed by…
A Gaussian moment method and its augmentation via LSTM recurrent neural networks for the statistics of cavitating bubble populations
Spencer H. Bryngelson, Alexis Charalampopoulos, Themistoklis P. Sapsis +1
Phase-averaged dilute bubbly flow models require high-order statistical moments of the bubble population. The method of classes, which directly evolve bins of bubbles in the probab…
Bubbles in Turbulent Flows: Data-driven, kinematic models with memory terms
Zhong Yi Wan, Petr Karnakov, Petros Koumoutsakos +1
We present data driven kinematic models for the motion of bubbles in high-Re turbulent fluid flows based on recurrent neural networks with long-short term memory enhancements. The…
Backpropagation Algorithms and Reservoir Computing in Recurrent Neural Networks for the Forecasting of Complex Spatiotemporal Dynamics
Pantelis R. Vlachas, Jaideep Pathak, Brian R. Hunt +4
We examine the efficiency of Recurrent Neural Networks in forecasting the spatiotemporal dynamics of high dimensional and reduced order complex systems using Reservoir Computing (R…
Machine-Learning Ocean Dynamics from Lagrangian Drifter Trajectories
Nikolas O. Aksamit, Themistoklis P. Sapsis, George Haller
Lagrangian ocean drifters provide highly accurate approximations of ocean surface currents but are sparsely located across the globe. As drifters passively follow ocean currents, t…
Learning the Tangent Space of Dynamical Instabilities from Data
Antoine Blanchard, Themistoklis P. Sapsis
For a large class of dynamical systems, the optimally time-dependent (OTD) modes, a set of deformable orthonormal tangent vectors that track directions of instabilities along any t…