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

TL;DR

This paper introduces reduced-order semi-implicit schemes for fluid-structure interaction problems using POD-Galerkin models based on operator-splitting, comparing weak and strong velocity continuity conditions in haemodynamics simulations.

Contribution

It proposes two novel reduced-order models for fluid-structure interaction based on a Chorin-Temam operator-splitting approach, with different velocity continuity enforcement methods.

Findings

Both ROMs effectively simulate wave propagation in haemodynamics.

The models demonstrate computational efficiency over high-fidelity methods.

Comparison shows differences in accuracy between weak and strong velocity conditions.

Abstract

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.