558 citations · 639 across the 7 of their papers we have counts for
4 papers · 1 filter
Model Reduction for Multi-Scale Transport Problems using Model-form Preserving Least-Squares Projections with Variable Transformation
Cheng Huang, Christopher R. Wentland, Karthik Duraisamy +1
A projection-based formulation is presented for non-linear model reduction of problems with extreme scale disparity. The approach allows for the selection of an arbitrary, but comp…
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…
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…
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…