91 citations · 164 across the 7 of their papers we have counts for
8 papers
Dynamic Reduced-Order Data Assimilation from Sparse Velocity Measurements
Mauricio Portilla, Felipe Galarce, Ernesto Castillo +1
We present a novel reduced-order data assimilation framework, termed Reduced-Order Dynamical Assimilation (RODAS), for reconstructing high-resolution, time-resolved flow fields fro…
Data-driven linear analysis of dynamical systems via nonlinearity-subtracted dynamic mode decomposition
Benjamin Herrmann, Katherine Cao, Steven L. Brunton +1
The Dynamic Mode Decomposition (DMD) has been consolidated as a basic tool for data-driven analysis of dynamical systems, allowing simultaneous identification of coherent structure…
Data-driven linear analysis of turbulent flows
Benjamin Herrmann, Katherine Cao, Carlos A. Gonzalez +2
Mean-flow-based linear analyses of turbulent flows, such as resolvent analysis, provide valuable insight about flow structures and their dynamics that has been widely leveraged to…
From resolvent to Gramians: extracting forcing and response modes for control
Benjamin Herrmann, Peter J. Baddoo, Scott T. M. Dawson +3
During the last decade, forcing and response modes produced by resolvent analysis have demonstrated great potential to guide sensor and actuator placement and design in flow contro…
Physics-informed dynamic mode decomposition (piDMD)
Peter J. Baddoo, Benjamin Herrmann, Beverley J. McKeon +2
In this work, we demonstrate how physical principles -- such as symmetries, invariances, and conservation laws -- can be integrated into the dynamic mode decomposition (DMD). DMD i…
Kernel Learning for Robust Dynamic Mode Decomposition: Linear and Nonlinear Disambiguation Optimization (LANDO)
Peter J. Baddoo, Benjamin Herrmann, Beverley J. McKeon +1
Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decom…
Data-driven resolvent analysis
Benjamin Herrmann, Peter J. Baddoo, Richard Semaan +2
Resolvent analysis identifies the most responsive forcings and most receptive states of a dynamical system, in an input--output sense, based on its governing equations. Interest in…
Modeling synchronization in forced turbulent oscillator flows
Benjamin Herrmann, Philipp Oswald, Richard Semaan +1
Periodically forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applic…