Nonlinear Galerkin Methods for the Model Reduction of Nonlinear Dynamical Systems : Revised and expanded version of a contribution to the EUROMECH Coloquium 427, ENS Cachan France, September 2001

Matthies, Hermann G.; Meyer, Marcus

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.

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Matthies, Hermann / Meyer, Marcus: Nonlinear Galerkin Methods for the Model Reduction of Nonlinear Dynamical Systems. Revised and expanded version of a contribution to the EUROMECH Coloquium 427, ENS Cachan France, September 2001. Braunschweig 2002. Institut für Wissenschaftliches Rechnen.

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