We develop an unsupervised machine learning algorithm for the automated discovery and identification of traveling waves in spatiotemporal systems governed by partial differential …
The proper orthogonal decomposition (POD) is the prevailing method for basis generation in the model reduction of fluids. A serious limitation of this method, however, is that it is …
A novel approach to reduced-order modeling of high-dimensional systems with time-varying properties is proposed. It combines the problem formulation of the Dynamic Mode …
R Zimmermann - arXiv preprint arXiv:1902.06502, 2019 - arxiv.org
One approach to parametric and adaptive model reduction is via the interpolation of orthogonal bases, subspaces or positive definite system matrices. In all these cases, the …
The necessity to include dynamic mean field representations in low order Galerkin models, and the role and form of such representations, are explored along natural and forced …
We review a strategy for low-and least-order Galerkin models suitable for the design of closed-loop stabilization of wakes. These low-order models are based on a fixed set of …
M Morzynski, F Thiele - 4th Flow Control Conference, 2008 - arc.aiaa.org
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BR Noack, M Schlegel, M Morzynski… - Reduced-order modelling …, 2011 - Springer
A Galerkin method is presented for control-oriented reduced-order models (ROM). This method generalizes linear approaches elaborated by M. Morzyński et al. for the nonlinear …
Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations Page 1 Reduced-Order Modeling of Complex Engineering and Geophysical …