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

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.


Published in:
Siam Journal on Scientific Computing, 34, A1187 - A1213
Year:
2012
Publisher:
Society for Industrial and Applied Mathematics
ISSN:
1064-8275
Keywords:
Note:
MATHICSE report 01.2011
Laboratories:




 Record created 2012-01-12, last modified 2018-03-17

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