Interface-reduction for the Craig-Bampton and Rubin method applied to FE-BE coupling with a large fluid-structure interface.

*(English)*Zbl 1158.74490Summary: Component mode-based model-order reduction (MOR) methods like the Craig-Bampton method or the Rubin method are known to be limited to structures with small coupling interfaces. This paper investigates two interface-reduction methods for application of MOR to systems with large coupling interfaces: for the Craig-Bampton method a direct reduction method based on strain energy considerations is investigated. Additionally, for the Rubin method an iterative reduction scheme is proposed, which incrementally constructs the reduction basis. Hereby, attachment modes are tested if they sufficiently enlarge the spanned subspace of the current reduction basis. If so, the m-orthogonal part is used to augment the basis. The methods are applied to FE-BE coupled systems in order to predict the vibro-acoustic behavior of structures, which are partly immersed in water. Hereby, a strong coupling scheme is employed, since for dense fluids the feedback of the acoustic pressure onto the structure is not negligible. For two example structures, the efficiency of the reduction methods with respect to numerical effort, memory consumption and computation time is compared with the exact full-order solution.

##### MSC:

74S05 | Finite element methods applied to problems in solid mechanics |

74S15 | Boundary element methods applied to problems in solid mechanics |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

##### Keywords:

model-order reduction; fluid-structure interaction; interface-reduction; Craig-Bampton method; Rubin method
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\textit{M. Junge} et al., Int. J. Numer. Methods Eng. 77, No. 12, 1731--1752 (2009; Zbl 1158.74490)

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