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Objekt-Metadaten

Nonlinear Galerkin Methods for the Model Reduction of Nonlinear Dynamical Systems. - (Informatikbericht Nr. 2002-3). - Revised and expanded version of a contribution to the EUROMECH Coloquium 427, ENS Cachan France, September 2001

Autor/en :

Matthies, Hermann G.
Meyer, Marcus

Institut / Verlag :

Institut für Wissenschaftliches Rechnen, 2002

Fakultät :

01 - Mathematik und Informatik

Freigeschaltet am :

31.01.2012

Dokumente :

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Umfang :

25 S.

Sprache :

englisch

Kurzfassung :

Numerical simulations of large nonlinear dynamical systems, especially over long time intervalls, may be computationally very expensive. Model reduction methods have been used in this context for a long time, usually projecting the dynamical system onto a subspace of its phase space. Nonlinear Galerkin methods try to improve on this by projecting onto a submanifold which does not have to be flat. These methods are applied to the finite element model of a windturbine, where both the mechanical and the aerodynamical degrees of freedom can be considered for model reduction. For the internal forces (moments, section forces) the nonlinear Galerkin method gives a considerable increase in accuracy for very little computational cost.

Schlagwörter :

Nonlinear Galerkin Method, Postprocessed Galerkin Method, Projection-based Model Reduction

Sachgebiet :

510 Mathematik

Typ :

Publikationen der TU Braunschweig

Format :

Text/Dokument

URN:NBN :

urn:nbn:de:gbv:084-12013115184

Zitierfähige URL :

http://www.digibib.tu-bs.de/?docid=00001376