|Title:|| A reduced basis model with parametric coupling for fluid-structure interaction problems|
|Date:|| Monday 10th January 2011|
|Author(s) :|| Lassila, T.; Quarteroni, A.; Rozza, G.|
|Abstract:|| 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.|