Reduced formulation of a steady fluid-structure interaction problem with parametric coupling

Details Reduced formulation of a steady fluid-structure interaction problem with parametric coupling Reduced formulation of a steady fluid-structure interaction problem with parametric coupling

2010-05-19

arxiv.org/abs/1005.3384v1

Mathematics

Numerical Analysis

10 pages, 3 figures

Scientific paper

We propose a two-fold approach to model reduction of fluid-structure interaction. The state equations for the fluid are solved with reduced basis methods. These are model reduction methods for parametric partial differential equations using well-chosen snapshot solutions in order to build a set of global basis functions. The other reduction is in terms of the geometric complexity of the moving fluid-structure interface. We use free-form deformations to parameterize the perturbation of the flow channel at rest configuration. As a computational example we consider a steady fluid-structure interaction problem: an incmpressible Stokes flow in a channel that has a flexible wall.

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