TY - ABST T1 - Projection based semi–implicit partitioned Reduced Basis Method for non parametrized and parametrized Fluid–Structure Interaction problems Y1 - 2022 A1 - Monica Nonino A1 - Francesco Ballarin A1 - Gianluigi Rozza A1 - Yvon Maday AB -

The goal of this manuscript is to present a partitioned Model Order Reduction method that is based on a semi-implicit projection scheme to solve multiphysics problems. We implement a Reduced Order Method based on a Proper Orthogonal Decomposition, with the aim of addressing both time-dependent and time-dependent, parametrized Fluid-Structure Interaction problems, where the fluid is incompressible and the structure is thick and two dimensional.

ER - TY - CHAP T1 - Reduced-order semi-implicit schemes for fluid-structure interaction problems T2 - Model Reduction of Parametrized Systems Y1 - 2017 A1 - F. Ballarin A1 - Gianluigi Rozza A1 - Yvon Maday ED - Peter Benner ED - Mario Ohlberger ED - Anthony Patera ED - Gianluigi Rozza ED - Karsten Urban AB -

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.

JF - Model Reduction of Parametrized Systems PB - Springer International Publishing ER -