𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear Galerkin methods for the model reduction of nonlinear dynamical systems

✍ Scribed by Hermann G Matthies; Marcus Meyer

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
202 KB
Volume
81
Category
Article
ISSN
0045-7949

No coin nor oath required. For personal study only.

✦ Synopsis

Numerical simulations of large nonlinear dynamical systems, especially over long-time intervals, 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 sub-space of its phase space. Nonlinear Galerkin methods try to improve on this by projecting onto a sub-manifold which does not have to be flat. These methods are applied to the finite element model of a wind-turbine, 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.

πŸ“œ SIMILAR VOLUMES

Galerkin methods for a model of populati
Galerkin methods for a model of population dynamics with nonlinear diffusion
✍ Mi-Young Kim πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 637 KB

A numerical method is proposed to approximate the solution of a nonlinear and nonlocal system of integro-differential equations describing age-dependent population dynamics with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elem

Finite Volume Evolution Galerkin Methods
Finite Volume Evolution Galerkin Methods for Nonlinear Hyperbolic Systems
✍ M. LukÑčovΓ‘-Medvid'ovΓ‘; J. SaibertovΓ‘; G. Warnecke πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 263 KB

We present new truly multidimensional schemes of higher order within the framework of finite volume evolution Galerkin (FVEG) methods for systems of nonlinear hyperbolic conservation laws. These methods couple a finite volume formulation with approximate evolution operators. The latter are construct

A model reduction technique for nonlinea
A model reduction technique for nonlinear systems
✍ A.A. Desrochers; G.N. Saridis πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 564 KB

Nonlinear nondynamic systems which can be modelled by a linear combination of nonlinear functions are considered. An algorithm, based on correlation techniques, is presented for reducing the number of terms in such a model to a fixed but arbitrary number, n. It is shown that when the model is a line