[PDF][PDF] Manifold interpolation

R Zimmermann - Model Order Reduction, 2021 - library.oapen.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 …

Dimensionality reduction and reduced-order modeling for traveling wave physics

A Mendible, SL Brunton, AY Aravkin, W Lowrie… - … and Computational Fluid …, 2020 - Springer
We develop an unsupervised machine learning algorithm for the automated discovery and
identification of traveling waves in spatiotemporal systems governed by partial differential …

Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition

A Hay, JT Borggaard, D Pelletier - Journal of Fluid Mechanics, 2009 - cambridge.org
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 …

[HTML][HTML] The balanced mode decomposition algorithm for data-driven LPV low-order models of aeroservoelastic systems

A Iannelli, U Fasel, RS Smith - Aerospace Science and Technology, 2021 - Elsevier
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 …

Manifold interpolation and model reduction

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 …

Mean field representation of the natural and actuated cylinder wake

G Tadmor, O Lehmann, BR Noack, M Morzyński - Physics of Fluids, 2010 - pubs.aip.org
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 …

Reduced-order models for closed-loop wake control

G Tadmor, O Lehmann, BR Noack… - … of the Royal …, 2011 - royalsocietypublishing.org
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 …

Finite element method for global stability analysis of 3D flow

M Morzynski, F Thiele - 4th Flow Control Conference, 2008 - arc.aiaa.org
Ь жа зи ж зйаиз г гл зи а ин з гл и б в и г и жзи згайи гвз д ж аа а Дгж в жан д ж аа аЕ гл
ззйбди гв в в гв и л и и ж а гл в ийж К агл зи а ин в анз з л з гб в и н д ж аа а гл ззйбди гв а …

Galerkin method for nonlinear dynamics

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

Z Wang - 2012 - vtechworks.lib.vt.edu
Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and
Computations Page 1 Reduced-Order Modeling of Complex Engineering and Geophysical …