A reduced basis model with parametric coupling for fluid-structure interaction problems

• Published in: Siam Journal on Scientific Computing (ISSN: 1064-8275)
• Society for Industrial and Applied Mathematics, 2012

We present a new model reduction technique for steady fluid-structure interaction problems. When the fluid domain deformation is suitably parametrized, the coupling conditions between the fluid and structure can be formulated in the low-dimensional space of geometric parameters. Moreover, we apply the reduced basis method to reduce the cost of repeated fluid solutions necessary to achieve convergence of fluid-structure iterations. In this way a reduced order model with reliable a posteriori error bounds is obtained. The proposed method is validated with an example of steady Stokes flow in an axisymmetric channel, where the structure is described by a simple 1-d generalized string model. We demonstrate rapid convergence of the reduced solution of the parametrically coupled problem as the number of geometric parameters is increased.

Note: MATHICSE report 01.2011

Keywords: fluid-structure interaction ; reduced basis method ; incompressible Stokes equations ; model reduction ; free-form deformation

Reference

• EPFL-ARTICLE-173821

Record created on 2012-01-12, modified on 2012-03-28