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

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • Toni Lassila
  • Alfio Quarteroni
  • Gianluigi Rozza

Research units

  • Swiss Federal Institute of Technology Lausanne
  • Polytechnic University of Milan

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 the 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 one-dimensional generalized string model. We demonstrate rapid convergence of the reduced solution of the parametrically coupled problem as the number of geometric parameters is increased.

Details

Original languageEnglish
JournalSIAM Journal on Scientific Computing
Volume34
Issue number2
Publication statusPublished - 2012
MoE publication typeA1 Journal article-refereed

    Research areas

  • Fluid-structure interaction, Free-form deformation, Incompressible Stokes equations, Model reduction, Reduced basis method

ID: 12921216