On long-term boundedness of Galerkin models
| dc.contributor.author | Schlegel, Michael | |
| dc.contributor.author | Noack, Bernd R. | |
| dc.date.accessioned | 2017-10-27T12:54:51Z | |
| dc.date.available | 2017-10-27T12:54:51Z | |
| dc.date.issued | 2015 | |
| dc.description | Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich. | de |
| dc.description | This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively. | en |
| dc.description.abstract | We investigate linear–quadratic dynamical systems with energy-preserving quadratic terms. These systems arise for instance as Galerkin systems of incompressible flows. A criterion is presented to ensure long-term boundedness of the system dynamics. If the criterion is violated, a globally stable attractor cannot exist for an effective nonlinearity. Thus, the criterion can be considered a minimum requirement for control-oriented Galerkin models of viscous fluid flows. The criterion is exemplified, for example, for Galerkin systems of two-dimensional cylinder wake flow models in the transient and the post-transient regime, for the Lorenz system and for wall-bounded shear flows. There are numerous potential applications of the criterion, for instance, system reduction and control of strongly nonlinear dynamical systems. | en |
| dc.identifier.eissn | 1469-7645 | |
| dc.identifier.issn | 0022-1120 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/7067 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-6376 | |
| dc.language.iso | en | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 530 Physik | |
| dc.subject.other | flow control | en |
| dc.subject.other | low-dimensional models | en |
| dc.subject.other | nonlinear dynamical systems | en |
| dc.title | On long-term boundedness of Galerkin models | en |
| dc.type | Article | |
| dc.type.version | publishedVersion | |
| dcterms.bibliographicCitation.doi | 10.1017/jfm.2014.736 | |
| dcterms.bibliographicCitation.journaltitle | Journal of fluid mechanics | |
| dcterms.bibliographicCitation.originalpublishername | Cambridge University Press | |
| dcterms.bibliographicCitation.originalpublisherplace | Cambridge | |
| dcterms.bibliographicCitation.pageend | 352 | |
| dcterms.bibliographicCitation.pagestart | 325 | |
| dcterms.bibliographicCitation.volume | 765 | |
| tub.accessrights.dnb | domain | |
| tub.affiliation | Fak. 5 Verkehrs- und Maschinensysteme::Inst. Strömungsmechanik und Technische Akustik (ISTA) | de |
| tub.affiliation.faculty | Fak. 5 Verkehrs- und Maschinensysteme | de |
| tub.affiliation.institute | Inst. Strömungsmechanik und Technische Akustik (ISTA) | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin |
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