Reduced-order semi-implicit schemes for fluid-structure interaction problems

Journal: 

Model Reduction of Parametrized Systems, P. Benner, M. Ohlberger, A. Patera, G. Rozza, and K. Urban (eds.), Springer International Publishing, p. pp. 149–167

Date: 

2017

Authors: 

F. Ballarin, G. Rozza, and Y. Maday

POD–Galerkin reduced-order models (ROMs) for fluid-structure interaction problems (incompressible fluid and thin structure) are proposed in this paper. Both the high-fidelity and reduced-order methods are based on a Chorin-Temam operator-splitting approach. Two different reduced-order methods are proposed, which differ on velocity continuity condition, imposed weakly or strongly, respectively. The resulting ROMs are tested and compared on a representative haemodynamics test case characterized by wave propagation, in order to assess the capabilities of the proposed strategies.

@INBOOK{BallarinRozzaMaday2017,
chapter = {Reduced-order semi-implicit schemes for fluid-structure interaction problems},
year = {2017},
author = {Ballarin, Francesco and Rozza, Gianluigi and Maday, Yvon},
editor = {Benner, Peter and Ohlberger, Mario and Patera, Anthony and Rozza, Gianluigi and Urban, Karsten},
booktitle = {Model Reduction of Parametrized Systems},
publisher = {Springer International Publishing},
pages = {149--167},
doi = {10.1007/978-3-319-58786-8_10},
}

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