Reduced-order semi-implicit schemes for fluid-structure interaction problems
This work addresses the need for efficient simulation of fluid-structure interaction in haemodynamics, offering reduced-order models that maintain accuracy while lowering computational cost.
The paper proposes POD-Galerkin reduced-order models for fluid-structure interaction problems using a Chorin-Temam splitting approach, testing two variants on a haemodynamics wave propagation case. The ROMs achieve accurate results with significant computational savings compared to high-fidelity models.
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.