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

• Presented at: 10th Finnish Mechanics Days, Jyvaskyla, Finland, 3-4 December 2009
• Published in: Proceedings of the 10th Finnish Mechanics Days Conference. Makinen, R. A. E. ; Valpe, K. ; Neittaanmaki, P. ; Tuovinen, T. (eds.)
• Publication date: 2010

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 fluidstructure 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 incompressible Stokes flow in a channel that has a flexible wall.

Note: MATHICSE report 13.2010

Keywords: reduced basis method ; finite element method ; free form deformation ; steady Stokes flow ; fluid-structure interaction

Reference

• EPFL-CONF-150142

Record created on 2010-07-26, modified on 2012-03-29