output
20152025
most citedDirect computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures

104 citations

Showing 2021Show all

8 papers · 1 filter

physics.flu-dyn2021★ 30 cited

Cluster-based hierarchical network model of the fluidic pinball -- Cartographing transient and post-transient, multi-frequency, multi-attractor behaviour

Nan Deng, Bernd R. Noack, Marek Morzyński +1

We propose a self-supervised cluster-based hierarchical reduced-order modelling methodology to model and analyse the complex dynamics arising from a sequence of bifurcations for a…

math.NA2021

A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method

Daniele Antonio Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko

We present an a posteriori error estimate based on equilibrated stress reconstructions for the finite element approximation of a unilateral contact problem with weak enforcement of…

math.NA2021★ 6 cited

Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

Cyril Touzé, Alessandra Vizzaccaro, Olivier Thomas

This paper aims at reviewing nonlinear methods for model order reduction of structures with geometric nonlinearity, with a special emphasis on the techniques based on invariant man…

physics.flu-dyn2021★ 7 cited

Route to Chaos in the Fluidic Pinball

Nan Deng, Luc R. Pastur, Marek Morzyński +1

The fluidic pinball has been recently proposed as an attractive and effective flow configuration for exploring machine learning fluid flow control. In this contribution, we focus o…

physics.flu-dyn2021

Low-dimensional Flow Models from high-dimensional Flow data with Machine Learning and First Principles

Nan Deng, Luc R. Pastur, Bernd R. Noack

Reduced-order modelling and system identification can help us figure out the elementary degrees of freedom and the underlying mechanisms from the high-dimensional and nonlinear dyn…

physics.flu-dyn2021

Dynamiques transitoires de sillage dans le pinball fluidique

Nan Deng, Luc R. Pastur, Bernd R. Noack Bernd R. +4

In this work, we are interested in the transient dynamics of a fluid configuration consisting of three fixed cylinders whose axes distribute over an equilateral triangle in transve…