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

Toni Lassila; Gianluigi Rozza

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arXiv · 1005.3384

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

Toni Lassila·Gianluigi Rozza

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Abstract

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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Toni Lassila, Gianluigi Rozza. 2010-05-19. Reduced formulation of a steady fluid-structure interaction problem with parametric coupling. https://arxiv.org/abs/1005.3384

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