44 citations · 47 across the 6 of their papers we have counts for
6 papers
Toward Adaptive Non-Intrusive Reduced-Order Models: Design and Challenges
Amirpasha Hedayat, Alberto Padovan, Karthik Duraisamy
Projection-based Reduced Order Models (ROMs) are often deployed as static surrogates, which limits their practical utility once a system leaves the training manifold. We formalize…
Continuous-time balanced truncation for time-periodic fluid flows using frequential Gramians
Alberto Padovan, Clarence W. Rowley
Reduced-order models for flows that exhibit time-periodic behavior are critical for several tasks, including active control and optimization. One well-known procedure to obtain the…
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance
Samuel E. Otto, Alberto Padovan, Clarence W. Rowley
Data-driven reduced-order models often fail to make accurate forecasts of high-dimensional nonlinear dynamical systems that are sensitive along coordinates with low-variance becaus…
Optimizing Oblique Projections for Nonlinear Systems using Trajectories
Samuel E. Otto, Alberto Padovan, Clarence W. Rowley
Reduced-order modeling techniques, including balanced truncation and -optimal model reduction, exploit the structure of linear dynamical systems to produce models th…
A computationally efficient approach for the removal of the phase shift singularity in harmonic resolvent analysis
Alberto Padovan, Clarence W. Rowley
The recently introduced harmonic resolvent framework is concerned with the study of the input-output dynamics of nonlinear flows in the proximity of a known time-periodic orbit. Th…
Analysis of amplification mechanisms and cross-frequency interactions in nonlinear flows via the harmonic resolvent
Alberto Padovan, Samuel E. Otto, Clarence W. Rowley
We propose a framework that elucidates the input-output characteristics of flows with complex dynamics arising from nonlinear interactions between different time scales. More speci…