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physics.comp-ph2019
Multi-level Convolutional Autoencoder Networks for Parametric Prediction of Spatio-temporal Dynamics
Jiayang Xu, Karthik Duraisamy
A data-driven framework is proposed towards the end of predictive modeling of complex spatio-temporal dynamics, leveraging nested non-linear manifolds. Three levels of neural netwo…
physics.comp-ph2019★ 2 cited
Investigations and Improvement of Robustness of Reduced-Order Models of Reacting Flow
Cheng Huang, Karthik Duraisamy, Charles L. Merkle
The impact of chemical reactions on the robustness and accuracy of projection-based Reduced-Order Models (ROMs) of fluid flows is investigated. Both Galerkin and Least-Squares Petr…
physics.comp-ph2019
Variational Multiscale Closures for Finite Element Discretizations Using the Mori-Zwanzig Approach
Aniruddhe Pradhan, Karthik Duraisamy
Simulation of multiscale problems remains a challenge due to the disparate range of spatial and temporal scales and the complex interaction between the resolved and unresolved scal…