629 citations · 1.7k across the 20 of their papers we have counts for
7 papers · 1 filter
Control of Vortex Dynamics using Invariants
Kartik Krishna, Aditya G. Nair, Anand Krishnan +2
Vortex-dominated flows are ubiquitous in engineering, and the ability to efficiently manipulate the dynamics of these vortices has broad applications, from wake shaping to mixing e…
Rethinking the Reynolds Transport Theorem, Liouville Equation, and Perron-Frobenius and Koopman Operators
Robert K. Niven, Laurent Cordier, Eurika Kaiser +2
The Reynolds transport theorem provides a generalized conservation law for the transport of a conserved quantity by fluid flow through a continuous connected control volume. It is…
Cluster-based feedback control of turbulent post-stall separated flows
Aditya G. Nair, Chi-An Yeh, Eurika Kaiser +3
We propose a novel model-free self-learning cluster-based control strategy for general nonlinear feedback flow control technique, benchmarked for high-fidelity simulations of post-…
Metric for attractor overlap
Rishabh Ishar, Eurika Kaiser, Marek Morzynski +6
We present the first general metric for attractor overlap (MAO) facilitating an unsupervised comparison of flow data sets. The starting point is two or more attractors, i.e., ensem…
Linear genetic programming control for strongly nonlinear dynamics with frequency crosstalk
Ruiying Li, Bernd R. Noack, Laurent Cordier +3
We advance Machine Learning Control (MLC), a recently proposed model-free control framework which explores and exploits strongly nonlinear dynamics in an unsupervised manner. The a…
Cluster-based control of nonlinear dynamics
Eurika Kaiser, Bernd R. Noack, Andreas Spohn +2
The ability to manipulate and control fluid flows is of great importance in many scientific and engineering applications. Here, a cluster-based control framework is proposed to det…